Grid Refresh Cosmology Conceptual Reference

Grid Refresh Cosmology (宇宙格點刷新論)
Conceptual Reference Document, Full Version V2
Hyatt Pan | April 2026

Preface: The Nature of This Document

This document is a conceptual synthesis of a theoretical framework. It is not a published physical theory, but rather an interpretive direction built upon existing physics that offers an internally consistent approach to the unification problem between quantum mechanics and general relativity.

In physics, the weight of a new theory typically depends on three things: whether it is compatible with the correct results of prior theories, whether it accounts for the numerical gaps those prior theories left unresolved, and whether it generates new predictions that were previously impossible to make and have since been confirmed.

Beyond these, when a theory can cover more phenomena with fewer assumptions, its contribution stands on its own, even without identifying errors in prior calculations. Maxwell's equations unified electricity and magnetism without refuting any prior experiment, yet provided a more fundamental causal explanation. The relationship between the GRC framework and existing physics belongs to this second category. The framework does not claim that the calculations of general relativity or quantum mechanics are incorrect. It proposes a common underlying interpretive language so that both can be understood within the same mechanism.

The methodological starting point is an intuitive analogy: when a computer system renders a scene, every object must occupy resources and undergo computation before it can be displayed. Objects in the universe, from particles to planets, similarly require some underlying mechanism to sustain their existence and motion. If the underlying logic of the universe closely resembles that of a computational system, then known physical regularities, including the speed-of-light limit, information conservation, quantum measurement effects, and spacetime geometry, can all receive a unified interpretation within a single framework. On this premise, the GRC framework poses a conditional inference: if the universe's underlying mechanism resembles a computational system, how should certain unresolved problems in existing physics be understood?

This methodological orientation can be positioned by analogy with Newton's discovery of universal gravitation. Before Newton, Galileo had his parabolic formulas and Kepler had his laws of planetary elliptical orbits. Each stood on its own, yet they were understood as describing two different domains: the physics of the Earth and the physics of the heavens. Newton's contribution was not to add yet another formula, but to find the single underlying logic that made both sets of descriptions its natural consequences.

The GRC framework pursues the same direction: rather than layering new descriptions on top of quantum mechanics or general relativity, it attempts to identify the common source of both within a single underlying mechanism. At this stage, GRC is closer to Kepler's work: it provides a clear and concise conceptual map showing why quantum mechanics and general relativity can be unified and what the underlying mechanism of that unification is. Rigorous formalization at the level of quantitative prediction is a direction for subsequent research.

The framework's scope is limited to the internal logic of the human-observable universe. The nature of the underlying system and whether any structure exists beyond the universe fall outside the scope of this document and are not asserted.

Terminology

Foundational Framework Constants

GL (Grid Length): the side length of the minimum spatial unit composing the universe; the smallest spatial scale
GR (Grid Refresh Capacity): the standard upper limit of information-processing capacity for a single grid cell per Tick

Time Mechanism

Tick: the system's minimum time unit; T = 1/GR
Iteration: a single computational attempt executed by a grid cell within one Tick
Convergence: the state in which a grid cell has accumulated sufficient Iterations to complete one full processing cycle
Proper Time: the time corresponding to an object's cumulative Convergence count, independent of the external Tick count
Refresh Burden: the additional Iteration demand generated when a grid cell's information content exceeds GR; = I/GR

Space and Grid

Lattice / Spacetime Grid: the minimum spatial unit composing the universe
Gravitational Gradient Value: the gravitational effect value generated by information density within each grid cell; = I/GR
Gradient Synchronization Effect: the synchronization mechanism arising between adjacent grid cells due to gradient differences, corresponding to gravity

Quantum-Related

Parameter Cloud: the probability distribution the system maintains for particles that have not yet interacted, corresponding to the wave function
Quantum Differential State: the state in which two particles share the same underlying data structure, corresponding to quantum entanglement
Latest Snapshot: the current state value of a neighboring grid cell referenced by a faster-converging cell when that neighbor has not yet converged

Energy Levels

Substrate Energy: the underlying energy sustaining the operation of the grid system, distinct from observable energy within the universe
Observable Energy: energy that is observable and calculable within the physics of the universe's interior

Methodology

Conditional Inference: the inferential approach of asking if the universe's underlying mechanism is such, how should known physical phenomena be understood
Honest Boundaries: explicit demarcation of what the framework can derive and what it cannot yet answer

Framework Summary

The framework begins from two foundational constants.

GL is the side length of the minimum spatial unit composing the universe. GR is the standard upper limit of information-processing capacity for a single spatial unit per Tick.

From these two constants, concepts such as the speed of light, time, gravity, mass, and wave function collapse can be derived in a unified manner, rather than existing as independently defined physical quantities. The speed of light is the product of GL and GR, a necessary consequence of the system's structure. Time is the progression of the refresh process, not an independently flowing background dimension. Gravity is the gradient synchronization effect of information density on surrounding spatial units, not an actively exerted attractive force.

Quantum mechanics and general relativity cannot be unified in current physics because no known underlying relationship between them exists. The framework's answer is that both describe expressions of the same underlying mechanism at different scales of information density. Quantum phenomena are the system's resource-allocation strategy under extremely low information density; relativistic phenomena are the geometric response of the system under high information density. In the framework, both Planck's constant and Newton's gravitational constant are functions of GL and GR. This is the underlying reason both can be described in a unified way.

The framework offers inferential interpretations of dark matter, dark energy, the black hole information paradox, the origin of gravitational waves, and the cosmological constant problem. All interpretations share the same set of concepts and introduce no additional assumptions. The 123-order-of-magnitude prediction gap in the cosmological constant is diagnosed by the framework as twofold: quantum field theory overestimates the predicted value due to its continuous-space assumption, and the physical source of the observed value, the ongoing expansion of space, belongs to an entirely different mechanism from vacuum energy. The two numbers should never have been placed in the same equation for comparison. This is a category error, not a calculation error.

The framework currently provides a conceptual-level unified interpretive language, mathematical derivations of core concepts (including a unified formal expression for the four fundamental forces and a unified action), and three testable physical predictions. Rigorous completion of the full mathematical architecture is left for subsequent research.

Part One: Core Concept Definitions

1. Information

Information is the totality of underlying parameters by which any physical existence can be rendered and observed. It is not the object itself, but the descriptive foundation upon which the object exists.

The information of a stone includes the sum of parameters, its mass, composition, position, temperature, and all quantum states, that make this stone itself. Any single act of observation can only capture information within its observational capacity, just as the human eye reading a sheet of paper can see the text but cannot determine the paper's composition, thickness, or whether it is a physical sheet or a photographed image. The completeness of the underlying information is independent of any act of observation.

Three Levels of Information

The word information carries three distinct levels of meaning within the GRC framework, which must be clearly distinguished.

The first is the totality of underlying parameters: the complete descriptive foundation by which all physical existence operates, including aspects inaccessible to human observation. This exists at the System Layer, independent of any act of observation. This is information in its most fundamental sense, corresponding to the definition at the opening of this section.

The second is the information content of a single object (I): the total quantity of parameters required to describe a specific object, serving as the operational computational unit within the framework. Mass, energy, movement, and field strength are all parameters at this level; their sum constitutes the I value for that object within its current grid cell. This is the input source for gravitational gradient and time dilation calculations.

The third is the processing capacity upper limit per Iteration (GR): this is not information itself, but the system's upper limit on the quantity of information a single grid cell can process within one Iteration. The ratio of I to GR determines the number of Iterations required to reach Convergence, and is the computational basis for Refresh Burden.

All three levels use the word information, but refer to entirely different scopes and functions. In subsequent sections, information content refers to the second level, the I value, unless otherwise specified.

Key inference: The stone is not information itself, but the Rendered Output of information. Information is the substrate; the object is the output. Information depends on the system for its existence. When the system ceases, so does the information.

Reference physical concepts: Quantum Information Theory, Wheeler's It from Bit principle.

2. System

The System is a framework concept arising from conditional inference, referring to the underlying mechanism that supports the operation of the human-observable universe.

The GRC framework does not assert that the universe is a computer program. It observes that the two operate with strikingly similar logic and therefore uses the System as an analogical tool for inference. The System concept divides into three levels.

The first is the human-observable universe: the range we can observe and study, and the subject of the GRC framework's discussion.

The second is the Meta-system: the underlying mechanism sustaining the operation of the human universe, analogous to the hardware running a game. Its nature lies beyond the observational capacity of the universe's interior; the GRC framework makes no substantive claims about it.

The third is beyond the system: whether any higher-level structure exists beyond the Meta-system falls outside the GRC framework's scope.

These three levels describe the vertical relationship between the universe and the Meta-system. The internal operation of the universe itself is further distinguished by three functional layers.

The System Layer is the underlying stratum in which the grid and information exist, and where all computation occurs. The totality of underlying parameters has complete existence at this layer, serving as the input source for grid computation.

The Processing Layer is the state layer in which grid cells process the information they contain. Information is recorded in quantum states, without requiring all properties to be definite. The output of the Processing Layer is the material source for the Rendered Layer; it does not produce output directed at macroscopic observers. This is analogous to the chemical states of fiber molecules and pigment molecules, which ultimately render as a colored garment, while the molecules themselves do not exist in macroscopic form.

The Rendered Layer is the macroscopically observable physical world. It is the output of the Processing Layer, the place where all properties are established, corresponding to the physical reality of everyday human experience.

Quantum states are the normal condition of the Processing Layer. They are not incomplete renders, but processing records that require no further rendering. Maintaining information in quantum states is sufficient for the grid, because everything the Rendered Layer needs as output can be produced normally from those quantum states.

The human discovery of quantum phenomena represents an accidental entry into the observational range of the Processing Layer. This layer was not designed for the inhabitants of the Rendered Layer. Its behavioral rules appear strange to macroscopic observers, not because it is mysterious, but because we are observing a layer not intended for us.

This gap between layers has a clear analogue in the everyday digital world. The folders, sort orders, icons, and scroll animations on a computer screen are all logical structures built at the display layer by the operating system for human comprehension. In the physical world of the hard drive, there are no such things as folders, only scattered data fragments located and reassembled by mathematical formulas. A folder is a label, not a container; the sort order we see is an interface for humans and has no effect on the underlying addressing logic. The relationship between the physical phenomena an observer sees in three-dimensional space and the underlying grid refresh mechanism carries the same kind of layered gap: what is observed is a rendered result, not the underlying fact itself.

A further illustration: in the mobile game Mario Kart Tour, items such as banana peels and shells appear on screen for several seconds and then vanish, sometimes instantaneously before the player's eyes. This process generates no heat anywhere on the screen, because heat dissipation is handled entirely by the iPhone's hardware and has no relation to the software or the displayed image. The existence and disappearance of items is the result of a block of memory being flagged as active or cleared by a delete command. Energy expenditure occurs at the hardware layer, not at the rendered layer. The implication for the framework is this: if we cannot find a corresponding energy source or heat dissipation for a phenomenon in the universe's Rendered Layer, an apparent violation of energy conservation, the energy accounting for that phenomenon may be occurring at the System Layer, beyond our observation.

Regarding the scale relationship between the Meta-system and our universe, one inference is worth recording. If the Meta-system's foundational constants, GL or GR, have larger values, the corresponding speed of light in that system would be higher than in our universe. From our observational layer, a signal transmitted at normal speed within the Meta-system would appear instantaneous due to the scale difference, with our temporal resolution unable to capture the transmission process at all. This provides one possible mechanistic interpretation for the instantaneous action at a distance observed in quantum entanglement. This inference depends on the premise that a Meta-system exists with configurable parameters, which lies beyond what the GRC framework can verify from within the universe. It is a speculative extension beyond the framework's boundaries, recorded here as a record of the reasoning trajectory.

Methodological note: This framework does not aim to answer who created the universe. It uses the logic of computational systems to provide a unified interpretive language for the internal operating regularities of the universe.

3. Lattice (Spacetime Grid)

The Lattice is the minimum spatial unit composing the human-observable universe. It is not a flat visual metaphor, but a discrete structural unit in three-dimensional space.

Geometric model: Bubble structure

Geometrically, each grid cell more closely resembles a bubble than a cubic pixel: a three-dimensional bubble structure that fills space seamlessly. This has a mathematical basis. Dividing a fixed total volume by a fixed unit volume yields a fixed number of units, regardless of the shape of those units. How the lattice partitions space therefore has no effect on the total cell count or the underlying computational structure of the universe.

The bubble model is an inferential tool, not a literal description of the underlying structure. Whether the underlying reality consists of actual physical bubbles is a question about the Meta-system, beyond the observational capacity of the universe's interior.

The shared membrane between adjacent bubbles serves as the boundary of the lattice structure and simultaneously fulfills two functions: defining the spatial extent of each grid cell, and acting as the transmission interface for Substrate Energy. Through the membrane structure, underlying information is transmitted between adjacent grid cells without requiring any additional independent transmission lines. The connection is structural, not supplementary. The membrane belongs to the System Layer; its operation falls outside the physical framework of the human-observable universe.

Pre-existing grid structure

Grid bubbles exist throughout space in a pre-existing state; they are not newly generated as the universe expands. The system handles both active bubbles, which contain physical information, and standby bubbles, which do not yet contain physical information. Standby bubbles are distributed uniformly throughout the entire pre-existing space, not only at the boundaries of the activated universe. This means no additional assumption is needed that space is being created from nothing.

Standby Bubble

A Standby Bubble possesses membrane structure (System Layer) but no Higgs field, analogous to an unactivated state, and therefore carries no baseline physical information. Because the Higgs field is the prerequisite for any physical content to exist within a grid cell, a Standby Bubble without a Higgs field cannot carry any particles, signals, or energy. To an observer within the universe, a Standby Bubble is equivalent to nonexistence. This is a matter of being unobservable, not of being nonexistent; the two are distinct in kind. When Standby Bubbles exist between two activated regions, their extent contributes no observable distance for internal observers, and the two activated regions are treated as adjacent from an observational standpoint. This is also the underlying mechanism of cosmic expansion; see the section on dark energy for details.

Why the lattice must be discrete

If space could be infinitely subdivided, the system would need to process data with infinite precision, which is impossible in any finite computational architecture. A minimum unit provides a computational reference; without it, mechanisms such as gravitational gradients and refresh cycles cannot be defined within the GRC framework.

From another angle: quantum mechanics has confirmed that energy, charge, and the interactions of matter are quantized, occurring in discrete units rather than continuous values. If all physical quantities in the universe appear in minimum units, there is no reason why the space and time that carry those quantities should be infinitely divisible.

The Planck Length in physics (approximately 1.616 × 10⁻³⁵ m) is humanity's current estimated minimum meaningful spatial scale, conceptually analogous to GL, though the GRC framework makes no claim that the two are numerically equal.

The discreteness of space has direct implications for the ultraviolet divergence problem in quantum field theory. When quantum field theory calculates higher-order corrections, it integrates over all momentum modes; that integral diverges as it approaches high momenta. The root cause of this divergence is treating space as continuously and infinitely divisible, which allows vibration modes of arbitrarily short wavelength to exist. If space has a minimum unit GL, then vibration modes shorter than GL simply do not exist. The momentum integral naturally has an upper bound at π/GL, and the source of ultraviolet divergence disappears at the foundational level. The renormalization procedure of standard quantum field theory can be understood as a mathematical tool that compensates for a cutoff that was always there, applied without knowledge of the underlying discrete structure.

The universe's operation depends on complete, continuous state updates. The GRC framework calls this refresh, which encompasses Iteration and Convergence; see the section on Time for details.

The work of a grid cell

Each grid cell processes all information within it during every Iteration: traversing signals (light, gravitational waves, and others), occupying matter (atoms, particles, and others), and the interactions between them, such as refraction and absorption.

During each Iteration, a grid cell receives information transmitted from all neighboring cells, combines it with the parameters already present within the cell, computes the resulting interactions to produce the next state, and transmits the result to all neighboring cells. Refresh is the continuous process of rendering the parameters from the previous Tick while simultaneously preparing the transmissions and renders for the next Tick.

No zero state

A grid cell has no state of complete emptiness. Recording that a cell contains no information is itself a kind of information state. This is analogous to a screen displaying black: the black itself requires power to sustain, and is fundamentally different from the zero-current state of a screen that is switched off. Even in the most empty regions of the universe, grid cells are still processing the minimal residual signals from starlight arriving from all directions, as well as the underlying energy cost of sustaining their own existence.

In physics, this corresponds to vacuum zero-point energy: the minimum energy that a physical system retains at absolute zero under quantum mechanics, arising from the Heisenberg uncertainty principle.

Gravitational Gradient Value

Each grid cell carries a Gravitational Gradient Value, counted in integers starting from zero. A gradient of zero indicates no gravitational aggregation effect, though as noted above, this does not mean the cell is truly empty; Substrate Energy and traversing signals are still present, simply below the threshold that triggers gravitational aggregation. A gradient of one is the minimum threshold for gravitational effect. The gradient difference between adjacent cells drives the physical quantities within those cells to interact, causing gradient values to accumulate and stack, forming a gradient field over a wider range. The grid cells themselves do not move; it is the physical quantities within them that move and aggregate. This is the starting point of matter formation.

Single-cell refresh as the basic unit

Refresh occurs at the level of individual grid cells. Each cell receives information from neighboring cells and then processes the parameters currently within itself. The refresh behavior of the entire universe is the sum of countless individual cells each completing their own cycle of reception, processing, and transmission. The system does not process large regions uniformly.

Single-cell information content I

The information content that a grid cell must process during its current refresh cycle is defined as that cell's physical information content (I). I is an objective quantity, independent of any act of observation, depending only on the actual physical state the cell contains at that moment.

Regarding the observability of I: in principle, I should be fully measurable given sufficient observational capability, though humanity's current depth of observation has not reached that level. This is analogous to the progression from observing air, to discovering water vapor, to identifying individual spectra: each increase in observational capability brings the measured value closer to the underlying fact.

The relationship between the Gravitational Gradient Value Ggrad and I is: Ggrad = I/GR. The Gravitational Gradient Value reflects the degree of Refresh Burden on that cell and is positively correlated with the number of additional Iterations required. The two are two ways of describing the same mechanism, not two independent things.

The discrete nature of movement

Movement within the framework is not information flowing inside a grid cell, but a discrete jump in time in terms of which cells are occupied.

Movement within the framework is the cross-cell transfer of I values: when an object leaves cell A, the I value of cell A decreases; when it enters cell B, the I value of cell B increases. Due to the discrete nature of the lattice, this transfer is a unit-type jump, not a continuous transition.

The underlying causes of gravitational time dilation and velocity-induced time dilation are therefore different. Gravitational time dilation arises because a single cell has a high I value and requires more Iterations to converge. Velocity-induced time dilation arises because a high-speed object continuously occupies a large number of different cells within a unit of time, increasing the total Refresh Burden. Both appear observationally as time dilation, but for different underlying reasons.

Single-cell refresh capacity

Each grid cell has a processing capacity upper limit (GR) per refresh cycle. All information within that capacity can be fully processed within a single refresh cycle, producing no additional Refresh Burden and therefore no observable gravitational gradient differential. A gravitational effect only arises when the information content exceeds the single-cycle processing capacity, requiring additional cycles.

When starlight traverses an empty grid cell, the information processing demand it brings is extremely small, below the gradient-one threshold that triggers gravitational aggregation, and therefore does not trigger an aggregation effect. While light carries radiation pressure and photon collisions transfer momentum to objects, this is unrelated to the gravitational gradient mechanism and falls outside the present discussion.

Indivisibility of the grid cell

The grid cell is the indivisible minimum unit of both space and time. When a grid cell completes one Convergence, the physical state within that cell advances to its next version and Proper Time advances by one step.

Causal completeness requirement

The information within each grid cell must be fully refreshed before it is released, allowing the cell's state to advance to its next version and transmitting information outward to neighboring cells. If a cell were released before processing was complete, the information propagating through the universe would be incomplete or corrupted, and all interactions would fail. Causal completeness is therefore not a choice made by the system, but a structural necessity for physical interactions to function normally. The speed-of-light limit and time dilation are both natural consequences of the causal completeness requirement, not independently imposed constraints.

Refresh capacity conservation

The refresh processing capacity GR of a single grid cell is allocated to two components: static information I (the cell's physical information content) and movement component p (the processing capacity allocated to displacement).

I + p = GR

A photon's static information content approaches zero (I ≈ 0), so its movement component exhausts all of GR, and it therefore travels at the speed of light. For a massive object, I > 0, so the movement component p = GR − I, and its speed is accordingly less than c. When the movement component is normalized, it corresponds to the velocity ratio p/GR = v/c. Substituting into the conservation equation gives:

v/c = 1 − I/GR = 1 − G_grad

This relation directly ties the speed limit to the Gravitational Gradient Value within a single conservation equation. The two are two observational perspectives on the same refresh-allocation mechanism: viewed from the angle of spatial movement it is speed; viewed from the angle of information density it is gradient. The impossibility of exceeding the speed of light and gravitational time dilation are therefore not two independently imposed rules, but two expressions of the same conservation equation under different conditions.

The higher the gradient value, the lower the attainable speed. The reason a massive object cannot reach the speed of light is that its own information content occupies part of the movement allocation; the remaining allocation is always less than the whole, and the cost of approaching the speed of light approaches infinity.

No absolute rest within the framework

From the Big Bang onward, all matter carries initial momentum. Combined with the background of cosmic expansion, even an object that is stationary relative to nearby objects is still moving relative to more distant reference points. Rest within the framework is only an approximation for relative rest, not a genuine underlying state.

Reference physical concepts: Planck Length; Loop Quantum Gravity (LQG), which proposes that space is woven from minimal loop structures and that matter moves not in continuous glides but in jumps from one minimum unit to the next (this belongs to theoretical inference); vacuum zero-point energy.

4. Time

Time is not an independently flowing background dimension, but the propagation of the system's refresh process (Refresh Propagation). Refresh is a necessary condition for the universe to operate dynamically, not merely a way of measuring time. The entire universe can continue to function only as long as the system continues to refresh.

Basic mechanism: Each time a grid cell completes one full refresh, it completes one Convergence. This is a single act of state computation and confirmation, and also the smallest advancement of time within the universe.

The system's Universal Refresh Rate is fixed, but individual grid cells require different numbers of Iterations to reach Convergence depending on their information density.

Time is discrete at the underlying level, yet appears continuous in subjective experience because perception itself belongs to the refresh cycle. To understand intuitively why the discrete discontinuities go unnoticed: using the Planck time (approximately 5.4 × 10⁻⁴⁴ seconds) as a reference, the universe's refresh rate is theoretically on the order of 10⁴³ times per second. This is analogous to a screen refreshing at 60 frames per second appearing completely smooth to the human eye; a rate so high vastly exceeds what any form of perception or instrumentation can detect, so the discrete underlying structure presents itself as entirely continuous at the observational level.

The cause of time dilation: Regions of higher information density require more refresh cycles for the system to fully process all parameter changes within them. From the perspective of an external observer, time advances more slowly in such a region. An observer within that region cannot perceive this difference, because their own consciousness belongs to the same refresh cycle, just as a character in a game perceives their own speed as normal even when the computation in their region has slowed down.

Time's arrow: The system's refresh is a one-directional propagation. Each refresh computes the next state on the basis of the previous one; there is no mechanism for refreshing back to an earlier version. Time can therefore only move forward. This is not an accident of physical law but a structural necessity of how the system operates.

Thought experiment on cosmic pause: If the system were paused, the consciousness and perception of all internal observers would stop as well, leaving them with no way to detect the pause. When the system resumes, time for internal observers continues seamlessly.

Complete derivation of velocity-induced time dilation:

An object moving at velocity v must process two components of information within a single grid cell: static information I, and motion information (normalized as v/c). The total effective information content per cell is I_eff = I + GR × (v/c), and the number of refresh cycles required is:

N = 1 + I/GR + v/c

Here 1 + I/GR is the pure gravitational effect and v/c is the pure velocity effect; the two add directly.

The underlying picture of the velocity effect: the faster an object moves, the more motion information each grid cell must process. If processing is not complete within the refresh cycle, that cell cannot be released; releasing it prematurely would leave the information propagating through the universe incomplete, for example, reflected light that has not yet fully transmitted.

Underlying derivation of the Lorentz factor:

The grid cell is the indivisible minimum unit of both space and time, and its total refresh allocation is 1. An object moving at velocity v consumes the spatial component v/c. The spatial component and the temporal component stand in a right-angle relationship; the remaining component in the time direction is √(1 − v²/c²). This is the underlying source of the Lorentz factor. It is not a geometric postulate of relativity, but a mathematical necessity of the grid cell's indivisibility.

The movement component and the time component share a single total allocation, and their geometry naturally forms a right-angle distribution obeying the Pythagorean theorem. This is not a geometric tool imported from outside the framework, but a necessary consequence of the definition of the grid cell itself.

The complete time dilation formula combining gravitational and velocity effects is:

Tlocal = T0 × (1 + I/GR) / √(1 − v²/c²)

For the pure velocity case (I ≈ 0): Tlocal = T0 / √(1 − v²/c²), which is in complete agreement with special relativity and carries an explanation of the underlying mechanism.

The relativity of observation:

All observers exist within a non-zero gravitational gradient field and carry their own refresh rate. Any observational result is the relative ratio between the refresh rate of what is being observed and the refresh rate of the observer themselves. No observer can stand at an absolute position of zero gradient and zero velocity to observe. This epistemological position emerges naturally from within the framework without requiring the principle of relativity as a postulate.

Reference physical concepts: Gravitational Time Dilation, Proper Time.

5. Energy

Within the GRC framework, energy divides into two levels that must be strictly distinguished.

Substrate Energy is the foundational energy sustaining the operation of the system and allowing the universe to continue refreshing. It belongs to the System Layer, falls outside the physical framework of the human-observable universe, participates in no energy exchange within the universe, and does not enter Einstein's field equations. The analogy is the electrical power of computer hardware: it sustains the operation of the system and is not any object within the display.

Observable Energy is the physical quantity measurable by observers at the display level: thermal energy, kinetic energy, electromagnetic energy, and the like. It participates in all physical interactions, produces gravitational effects, and is the subject of quantum field theory's descriptions.

The critical distinction: The two must not be conflated. The 123-order-of-magnitude gap in the cosmological constant problem has a twofold root: first, it is a category error arising from mixing Substrate Energy with Observable Energy; second, it is an overestimate produced by quantum field theory's use of continuous space in its calculations, an overestimate that a discrete cutoff would substantially reduce. See Section 18 for details.

Baseline Information and the Higgs field:

Baseline Information is the underlying medium within each activated grid bubble that allows physical content to exist, corresponding to the Higgs field in physics. The Higgs field pervades the entire universe, has a nonzero value everywhere, and grants mass to particles through coupling; all three properties find their counterpart in the framework's description of Baseline Information as the prerequisite for spatial existence. The two are descriptions of the same concept at different levels of language, not two independent things.

Each grid bubble contains a minimum information quantity: the fact that this is a valid spatial unit. The analogy is a floor: furniture, people, and activity on the floor can only exist because the floor is there; the floor is part of the space, not a structure independent of it. A grid cell without Baseline Information, that is, without the Higgs field, cannot carry any physical parameter. This is also the underlying reason why Standby Bubbles are equivalent to nonexistence for observers within the universe.

In the Standard Model of physics, the strength of a particle's coupling to the Higgs field determines its mass: stronger coupling means greater mass. The photon does not couple with the Higgs field at all, and therefore has zero rest mass. The Higgs boson is the particle that appears when the Higgs field is excited; it was detected by the LHC experiment at CERN in 2012.

The Casimir effect in the framework's terms:

The Casimir effect observed in laboratory settings is the result of the large-scale action of quantum state fluctuations throughout the interior space of the universe. Two conducting plates create boundary conditions that make the quantum state oscillation modes on either side of the plates asymmetric: more oscillation modes can enter from outside than from between the plates, producing a measurable pressure difference. This is a boundary effect of quantum states within the universe, not a direct result of Baseline Information (the Higgs field) acting, and the two belong to different levels of phenomena; they must not be conflated.

Note: The source of the Casimir effect is itself contested within physics. More recent research suggests it is fundamentally the van der Waals force between the plate materials and can be calculated without reference to vacuum energy. The GRC framework does not use the Casimir experiment as direct verification of Baseline Information; it is used here only for conceptual illustration.

Reference physical concepts: Vacuum zero-point energy, the vacuum state in quantum field theory (QFT), the Higgs field.

6. Gravity

Gravity is not an actively exerted attractive force, but the effect by which information density influences the Gravitational Gradient Values of surrounding grid cells and, through the Gradient Synchronization mechanism, causes changes in the positions of objects.

The structural necessity of gravity:

If the refresh timing differences between adjacent grid cells were never brought to Convergence, those differences would expand geometrically. An animal whose different body parts lived on different temporal schedules could not exist as a coherent whole. Gravity is the structural necessity that allows macroscopic objects to exist coherently: the system must draw the gradients of adjacent cells toward alignment, keeping the refresh timing differences within a manageable range. Without this, material structures would spontaneously disintegrate at the temporal level.

How gravitational gradients arise:

Any object with information density generates a gravitational gradient field in the cells it occupies and in surrounding cells, with gradient values decreasing outward from the object's center of mass. The space beyond the object's solid boundary still carries gradually decreasing gradient values, just as the space surrounding a planet still carries a gravitational field. Gradients decrease outward until they either superpose with the gradient fields of other bodies and reach equilibrium, or, in an isolated case, fall to the system's minimum gradient threshold. The entire range from the object's center to the gradient equilibrium point (or minimum gradient threshold) constitutes its gravitational zone of influence.

Superposition and displacement when two objects approach:

The rules of gravitational gradient force are as follows. A gradient of zero produces no gravitational aggregation effect. A gradient of one is the minimum threshold for gravitational effect and can produce force, but if all surrounding cells have gradient zero, there is no point of application and the gravitational effect does not occur. When two cells each at gradient one are adjacent, the two attract each other and tend to merge.

Material structures remain stable because the electromagnetic forces and strong nuclear forces within atoms provide structural support stronger than the gravitational gradient, preventing solid objects from being crushed by gravity. The cells within the gravitational zone beyond the solid boundary, however, lack that supporting structure. When the gravitational zones of two objects meet, the outermost gradients merge first; from the perspective of an internal observer, the distance between the two objects begins to decrease, a result of gravitational gradient cells merging.

As an example, consider two solid objects each with a gradient of 5, whose gravitational zones extend through gradients of 4, 3, 2, and 1 outward. When their outermost gradient-1 regions meet and merge to form gradient 2, that value continues to merge with the adjacent gradient-2 layer to form gradient 4, and the speed of attraction increases as gradients stack, until solid contact is made. Whether the objects then simply press together or undergo structural breakup depends on whether the kinetic energy of collision exceeds the gradient strength at that point.

The condition for matter formation:

Gradient 1 plus gradient 1 is the initial condition for matter formation. Two adjacent gradient-1 cells attract and merge, forming the highest gradient point at the center and decreasing outward, constituting a complete gravitational field zone.

Gravitational zones of galaxies:

A galaxy contains a large number of stars, each with its own gravitational field pulling on and superposing with the others. The gradient value of any cell within the galaxy is higher than the theoretical minimum threshold for an isolated body. At galactic scales, there is no purely neutral space where gradients fall to the minimum threshold.

Why gravity is weaker than other forces:

Gravity is the gradient synchronization effect of the grid, and its range extends outward from the center, reaching an extremely small value at the outermost edge. The electromagnetic force, strong force, and weak force each act with strengths greater than the gravitational gradient, which is why they can support atomic and molecular structures without being crushed by gravity. This hierarchy of strengths is what allows atomic and molecular structures to exist. If gravity were the strongest force, all matter would continuously collapse inward and stable atomic structures could not form.

Why the vacuum does not trigger aggregation:

Even in the most empty regions of the universe, grid cells are still processing the minimal residual signals of starlight arriving from all directions. These signal quantities fall below the threshold for generating an observable gravitational gradient, and therefore do not trigger gravitational aggregation. This is why the universe can simultaneously sustain large-scale voids and localized concentrations of matter.

There is a current direction in physics that suggests gravity may not be quantum in nature, but instead couples to quantum matter in a semi-classical way (Post-Quantum Gravity, proposed by Jonathan Oppenheim and others around 2023; this remains in the theoretical exploration stage with no experimental verification). This direction is adjacent to the GRC framework's interpretation of gravity in certain respects: both refrain from assuming the existence of gravitons, and both treat gravity as a more fundamental structural constraint rather than a force arising from particle exchange. Their specific mechanisms differ: mainstream Post-Quantum Gravity attempts to describe semi-classical coupling within the existing quantum field theory framework, while the GRC framework's explanation arises from the gradient effect of grid refresh resource allocation.

Photon trajectories and the gravitational gradient field:

A photon carries near-zero static information (I ≈ 0) and generates an extremely small gravitational gradient on its own. When a photon passes near a massive body, however, it is subject to that body's gradient field. The gradient field decreases outward from the body's center, and as the photon traverses this region of uneven gradient distribution, its path curves in accordance with the gradient distribution. This is the gravitational lensing effect.

GRC's interpretation is that within each grid cell the photon completes its Iteration according to the current gradient value; cells with higher gradients require longer to converge, so the photon's rate of advance is inconsistent across cells of different gradients, and the path therefore deflects. This agrees with general relativity's description of spacetime geometric curvature at the observational level, while the language describing the underlying mechanism differs.

Gravitational lensing has been thoroughly confirmed by astronomical observation, including the deflection of starlight passing near the Sun's edge (observed during the solar eclipse of 1919) and the amplification of background galaxy images by galaxy clusters acting as lenses.

Reference physical concepts: General Relativity and spacetime curvature; Post-Quantum Gravity (Oppenheim et al., 2023), which is adjacent in direction to GRC in that both refrain from assuming gravitons exist and both treat gravity as a more fundamental structural effect.

7. Mass

Mass is not an independent fundamental physical quantity, but the way humans measure the gravitational gradient strength corresponding to an object's information density.

The underlying derivation chain: information density → increased refresh cycle demand → increased gravitational gradient → observed by humans as mass. Mass is the observational result at the far end of this chain.

The differences in mass arise from the total number of grid cells occupied by atoms, not from differences in the complexity of any single cell. Each grid cell has a fixed basic processing unit per refresh, treating all elements equally without adjusting the per-cell processing load based on element type. The more atoms, the more cells occupied, the greater the system's total Refresh Burden, the stronger the gravitational gradient, and the greater the mass humans observe.

An object's objective total information content Itotal is an underlying fact. Mass M is humanity's current best approximation of Itotal, not Itotal itself. The nature of this gap can be illustrated by analogy: the complete composition of air exists objectively and does not cease to exist because we cannot fully measure it. When we calculate using approximations like 78% nitrogen and 21% oxygen, the result differs from the objective value, but that gap is fixed, not random. As observational capability improves, the approximation converges toward the objective value; the gap narrows but a theoretical lower limit always remains. The relationship between M and Itotal is exactly the same: the gap exists objectively, has a fixed structure, and does not change as a result of measurement.

Any information occupying a grid cell, no matter how small, generates a minimum-unit Refresh Burden and therefore a minimum gravitational gradient. Somewhere in the universe, grid refresh and information processing are occurring at all times.

At the particle scale, gravitational gradients are extremely small. Within the range of the strong nuclear force and electromagnetic force, their strength is far below that of these forces. Particle behavior is therefore dominated by those other forces, and the gravitational gradient effect at this scale is unobservable rather than cancelled.

Reference physical concepts: Mass-energy equivalence (E = mc²).

8. Speed of Light

The speed of light is a necessary consequence of the system's structure, not an arbitrarily assigned value. It is defined as c = GL × GR, the product of the minimum spatial unit and the information-processing capacity per refresh cycle.

The nature of gauge bosons: pure motion information packets

Particles whose static information content I ≈ 0 are described in the framework as Pure Motion Information Packets: their entire movement allocation is assigned to the spatial component, they travel at the speed of light, and they do not require the grid to continuously maintain their existence. These particles correspond to gauge bosons in the Standard Model: carriers of forces rather than constituents of matter. The photon is the most typical example; gluons belong to the same category, but are permanently confined within atomic nuclei by quark confinement and do not propagate at macroscopic scales.

By contrast, particles whose static information content I > 0 (corresponding to fermions) require the grid to continuously maintain their existence, occupy space, and generate Refresh Burden. They therefore have rest mass, and their speed is necessarily less than c. Whether or not a particle has zero rest mass is, within the framework, a necessary consequence of its information structure, not a special property assigned to individual particles.

GRC's interpretation is that a photon's energy content is transmitted between grid cells in the form of information and alters the states of both parties only when it interacts with another information structure. The energy information content of a single photon is far below the gravitational gradient threshold, so traversing a grid cell does not change that cell's gradient state. When photons accumulate densely, the total energy information could in principle exceed the threshold and produce a gravitational effect, but this inference currently has no direct experimental verification. (This belongs to the framework's speculative extensions.)

The underlying mechanism of the invariance of the speed of light:

The invariance of the speed of light emerges naturally from within the framework. The mechanism is as follows. An observer chasing light at velocity v enters a state in which their own refresh cycles are lengthened; the v/c spatial component has already been consumed from the total grid refresh allocation. When they measure the speed of light, this lengthening exactly cancels out: the observer's own refresh rate slows, and the measured refresh rate of light slows by the same proportion, so the relative result is always c. The invariance of the speed of light is a necessary consequence of the grid refresh mechanism, not a postulate.

An additional note: this mechanism is not limited to the speed of light. In principle, the same refresh-rate cancellation effect should be present in any scenario of chasing at any speed, but at low velocities the difference is so small as to be far below the observable range, and no verification pathway currently exists. This belongs to the framework's speculative extensions.

Why quantum entanglement is not limited by the speed of light:

The instantaneity of the Quantum Differential State (entanglement) does not violate the speed-of-light limit, because entanglement itself does not transmit information. Two particles in a differential state are two reference addresses pointing to the same data structure in the underlying system. When the source changes, all references synchronize automatically, without any information traveling through space, and therefore without being subject to the speed-of-light limit. See Section 10 for details.

Reference physical concepts: Special Relativity, the principle of the invariance of the speed of light.

9. Wave Function and Quantum Superposition

The superposition state of a wave function is the minimum resource state (Minimum Resource State) that the system adopts for particles that have not yet undergone interaction.

Core inference: Each grid cell performs its own state computation and confirmation within every Tick. To conserve computational resources, for particles that have no ongoing interactions the system retains only the Parameter Cloud (probability distribution) rather than listing precise quantum state values. This does not mean the particle is genuinely in multiple states simultaneously; it means the system has not yet been required to list a definite state for that particle.

What triggers wave function collapse: Once the particle interacts with any other object, whether a photon collision, an air molecule collision, or a human act of observation, the system needs definite parameters to correctly compute the result of that interaction. The information is then fixed, and the wave function collapses to a definite value.

The observer has no special status: Observation is simply one form of interaction. What collapses the wave function is not consciousness, but any form of physical interaction. This is consistent with Decoherence Theory.

The scale of an electron is far smaller than the wavelength of visible light; accordingly, all human knowledge of the electron comes from indirect observation: the tracks it leaves in a bubble chamber, the points of light it produces when striking a fluorescent screen, and so on. Any such indirect observation is a physical interaction and will trigger wave function collapse, moving the particle from a storage mode in which no definite state has been demanded, to a rendering mode in which a definite value must be output.

The nature of observation does not lie in human intent but in the physical interaction itself. Any external physical system that interacts with a particle triggers collapse, regardless of whether the observer is conscious.

Storage-Rendering Duality:

The same physical object is, at the underlying level, a stored information state, and, once triggered by an observational interaction, a rendered output state. The former corresponds to wave-like behavior: the object exists as a probability distribution while the system has not yet been required to output a definite value. The latter corresponds to particle-like behavior: definite position and momentum. This duality is not a strange property of particles but a necessary difference between underlying storage and rendered output. Existing physics calls this wave-particle duality; the framework provides an account of the underlying mechanism.

An intuitive analogy: when a computer graphics system renders a character, the project folder contains data files for limb shapes, textures, dimensions, colors, and the like, indexed by hash values with no dependence on any particular ordering. When the system retrieves the files, it goes directly to the required data via hash and renders the character fully, without needing to know the arrangement order of the files. Only when a human opens the folder does a sort state appear, such as the folder is currently sorted by name or by size. That sort order is rendered for human viewing; it is not a property of the data itself. The act of observation creates the appearance of an ordering, but the underlying content of the data has never changed. Particles such as electrons are in exactly the same situation within the framework: underlying information is stored in a way the system can retrieve directly, without any predetermined sort state, and definite values are rendered only when an interaction occurs.

Reference physical concepts: Copenhagen interpretation, Decoherence Theory.

10. Quantum Entanglement: The Framework's Inference

One possible explanation: The system may require each particle to maintain a unique combination of parameters that distinguishes it from others, so that particles can be rendered as individually existing entities. Difference is itself information; without difference, the system has no way to distinguish two particles.

Honest boundary: Quantum entanglement is easily disrupted by any physical interaction and easily re-established under low-coupling conditions; it can also exist among multiple bodies simultaneously. These properties make it appear non-fundamental to the universe's operating mechanism. It is neither a necessary condition for maintaining material structures nor a central channel for energy transmission. The phenomenon of entanglement exists, but its role at the foundational level of the framework cannot currently be inferred.

The mechanism of instantaneous synchronization: Two entangled particles are not two independent entities transmitting signals to each other, but two reference addresses pointing to the same data structure in the underlying system. The analogy is a cell formula reference between different worksheets in a spreadsheet: when the source value changes, all references synchronize automatically, without any information traveling through space, and therefore without being subject to the speed-of-light limit. The instantaneous influence humans observe is the expression of this reference mechanism, not action at a distance.

The GRC framework does not assert that this phenomenon exists as a mechanism the system has instituted for the purpose of saving resources or for any specific function. The reference analogy above describes a behavioral pattern, not a purpose. Forcing a functional role upon it risks repeating the historical error of physics in seeking a purpose for the existence of the luminiferous aether.

Reference physical concepts: Quantum entanglement, Pauli Exclusion Principle, quantum non-locality.

Part Two: The Framework's Interpretation of Physical Problems

11. The Unification of Quantum Mechanics and General Relativity

Physics has long faced a fundamental impasse: quantum mechanics, which describes the microscopic world, and general relativity, which describes macroscopic spacetime, are mathematically incompatible.

GRC's interpretation is that the two do not describe different physical rules, but rather expressions of the same underlying mechanism at different scales of information density, sharing a single grid structure and refresh mechanism.

Quantum phenomena, including superposition, collapse, and entanglement, arise when particles have not yet undergone external interaction; the system maintains existence at minimum information density without predetermining states. Relativistic phenomena, including spacetime curvature and time dilation, arise under conditions of high information density, where grid gravitational gradients increase and Convergence cycles lengthen. The underlying logic of both is the same: information density determines grid state, and grid state determines the behavior of time and space.

The early Big Bang: the most extreme case of the unification problem

Existing physics faces its most severe unification difficulty at the moment of the early Big Bang: the spacetime scale is extremely small, requiring quantum mechanics; the energy density is extremely high, requiring general relativity. Both mathematical frameworks are needed simultaneously under these conditions, yet they are mutually contradictory and cannot be merged in calculation.

GRC's interpretation is that in the early Big Bang, grid information content approached its upper limit; each grid cell's Convergence cycle approached infinite length, corresponding to the extreme spacetime curvature state described by general relativity. At the same time, information had not yet formed stable material structures and existed in the highest-energy non-definite state, corresponding to the extreme superposition state described by quantum mechanics. The two describe a single state of the same set of grid cells under information-limit conditions, not two sets of rules acting simultaneously.

The implication of this interpretation is that the irreconcilability of quantum mechanics and general relativity in the early Big Bang is a descriptive conflict arising when two observational languages each approach their own limits of applicability, not a genuine split in the underlying mechanism. Detailed inferences about the origin of the universe are addressed in Section 19. (This interpretation belongs to the inferential level; it does not yet have independent mathematical derivation supporting it.)

12. Dark Matter

Astronomical observation shows that the universe contains large quantities of matter that produce gravitational effects yet cannot be directly observed. This is called dark matter.

GRC's interpretation is that dark matter is the gravitational gradient grid extending through the space beyond the solid boundary of any object that possesses information density.

Every object's gravitational gradient field decreases outward from its center; the space beyond the object's solid boundary still carries gradually decreasing gradient values. These space-grid cells carrying gradient values possess gravitational effects, but because their nature is a gradient state of spatial units rather than independent information objects, they do not enter any interaction framework, and therefore cannot be directly observed, while remaining measurable indirectly through gravitational effects.

In the large-scale structure of the universe, overlapping and interwoven gravitational gradient networks exist between the bodies within galaxies and between galaxies themselves. The gravitational gradient between two objects cannot jump abruptly from a high value directly to zero; a continuous transitional gradient must exist. Stars do not collide with each other because gravitational gradients and the centrifugal forces of motion reach dynamic equilibrium; galaxies orbit larger galaxies through the same mechanism at a larger scale. The entire universe is a multi-level gravitational gradient network, from the minimum gradient of a single particle to the extreme gradient of a galaxy cluster, all expressions of the same mechanism at different scales. These transitional gradient cells distributed throughout the space within and between galaxies constitute the gravitational effects that astronomical observation cannot account for using the mass of visible matter alone.

The Bullet Cluster: a framework interpretation

The Bullet Cluster is currently the most prominent case in astronomical observation in which the gravitational center is clearly separated from visible matter, and it is the most frequently cited evidence in support of dark matter's existence. The GRC framework offers an interpretation that does not depend on dark matter particles.

Two galaxy clusters collide at high speed under mutual gravitational attraction. The visible matter within the clusters, primarily hot gas, generates friction through electromagnetic forces, decelerates at the collision interface, and piles up in the central collision zone. The galaxies within each cluster, separated by enormous interstellar distances, are minimally affected by friction; they continue forward carrying their own gravitational gradient fields, pass through each other, and separate to either side. The gravitational gradient field moves with the mass distribution; it is not independent of the mass.

When a galaxy cluster moves at high speed, the information being processed by the grid includes both static mass information and motion information; their combined Refresh Burden is higher than in the stationary state. During the collision, the continuing clusters therefore carry gradient values higher than would be expected from their static mass alone. This additional gradient contribution is the framework-level explanation for the observed phenomenon of gravitational centers appearing to lead the visible matter distribution.

(This interpretation belongs to the framework's inferential level. It is directionally consistent with existing observational results, but has not yet generated an independent prediction distinguishable from the dark matter particle hypothesis.)

13. Dark Energy and Cosmic Expansion

Observation shows that the universe is expanding at an accelerating rate. Physics hypothesizes the existence of a dark energy driving this expansion.

GRC's interpretation is that dark energy is not an externally applied force, but the expression, at the observational level of the universe's interior, of the process by which the boundary of zero-gradient grid cells continuously advances outward into pre-existing Standby Bubbles.

Grid bubbles exist in a pre-existing state, distributed uniformly throughout space. Cosmic expansion is the advance of the boundary of activated space. Standby Bubbles are continuously activated, allowing the Higgs field (Baseline Information) to appear and the cells to become effective grid cells capable of carrying physical content. This advance has been ongoing continuously since the initialization of the Big Bang.

The geometry of cosmic expansion: Expansion does not occur only at the boundary of the universe; zero-gradient cells within the interior of the activated space also continuously expand into their surroundings, increasing the distances between galaxies. The farther apart two points are, the more activated zero-gradient cells have accumulated between them, and therefore the greater the measured recession velocity. Structures with gravitational gradients, such as galaxies and galaxy clusters, do not participate in this expansion; their internal scales are unaffected, which is also why internal observers cannot perceive the expansion. This is consistent with existing astronomical observation.

The distinction in scale between grid activation speed and the speed of light: The activation speed of Standby Bubbles is not subject to the speed-of-light limit. The speed of light is the upper limit for information moving within existing activated grid cells; the activation of Standby Bubbles is an expansion behavior of the underlying system and is not information moving within existing grid cells. The two belong to different levels and are governed by different rules.

Whether the universe has an edge:

Pre-existing Standby Bubbles are distributed uniformly throughout the entire space, and the activated boundary continuously advances. No light signal will ever encounter an edge.

The CMB photons we observe today originated from the last scattering surface approximately 13.8 billion light-years away; but that surface is not fixed. As time passes, the CMB photons we receive will be progressively older, originating from ever more distant shells. Cosmic expansion causes space itself to continue stretching; the path these photons travel during their journey is also lengthened, their wavelengths are redshifted further, and their energy continues to decrease.

In the framework's terms: each time these photons cross one grid cell, that cell completes one refresh. Cosmic expansion continuously increases the number of cells they must traverse, so the photons travel for longer and longer in the time dimension and at ever lower frequencies, but they never disappear. As long as the universe continues to refresh, photons from the distant reaches continue to arrive.

The Cosmic Microwave Background (CMB) in the framework's terms:

The Cosmic Microwave Background arose approximately 380,000 years after the Big Bang, when the temperature of the universe had dropped to around 3,000 K. At that point, protons could capture electrons to form stable hydrogen atoms, a process called Recombination. The free electrons that had previously blocked photons from traveling in straight lines were bound into atomic orbitals, and photons were free to propagate through the universe for the first time. This set of photons scattered in all directions; after 13.8 billion years of cosmic-expansion-induced redshift, their wavelengths stretched from visible light to the microwave band, becoming the cosmic microwave background that can be detected from any direction today. Prior to 380,000 years, the plasma state made the universe opaque to electromagnetic radiation, forming the observational horizon for human optical observation: the last scattering surface.

The initial state of the universe and a single origin point:

The framework's inference regarding the initial state of the universe is that the Big Bang began with the release of high-load information from a single region, advancing outward, with surrounding Standby Bubbles activating sequentially to become effective grid cells. The single-origin configuration has internal consistency reasoning behind it: if the universe had been initialized simultaneously from multiple independent starting points, the boundaries of those regions would eventually have made contact, causing large quantities of grid information of differing properties to surge in at once. Observers would then find an anomalous quantity of radiation and stellar light information appearing from particular directions, as well as phenomena that no single set of physical rules could explain.

Existing astronomical observation has found no such directional anomaly, which supports the single-origin inference.

Honest boundary: How many bubbles were involved in the initial high-load region and the physical scale of that initial region cannot be estimated, because the physical scale of bubbles is unmeasurable (finding it would be equivalent to finding the grid itself). These are listed as honest boundaries. The stable rate of expansion, corresponding to the Hubble constant problem in existing physics, cannot be derived numerically from GL and GR, and is likewise listed as an honest boundary.

14. Black Holes

GRC's interpretation is that a black hole is the result of a massive star's collapse, in which the star's enormous original information content is compressed into an extremely small space. The information itself does not disappear, consistent with the law of information conservation. The enormous information content concentrated within that minute volume causes the gravitational gradient of the point and its surrounding grid cells to increase to an extreme degree, generating an extremely powerful gravitational field.

Interpretation of the Event Horizon: The Event Horizon is a critical boundary. Within this boundary, the gravitational gradient of the grid cells is so extreme that the number of cells a photon can traverse per unit of time is insufficient for the displacement required to escape. The photon is not being held back; it simply cannot cross out. Any object that crosses the Event Horizon has its information incorporated into the black hole's information structure, and its Convergence cycle approaches infinite length. From the perspective of an external observer, this is equivalent to being permanently inaccessible, but the information itself has not disappeared.

Time standing still near a black hole: Grid cells at the edge of a black hole have Convergence cycles approaching infinite length; from the perspective of an external observer, time there is nearly stopped. This is the structural necessity of gravity's existence expressing itself under extreme conditions: gradient differences become extreme, and refresh timing differences approach their maximum value.

Handling the black hole information paradox: Within the GRC framework, information does not disappear; it is only compressed into an extremely small space. The grid information content is extremely high, the Convergence cycle is extremely long, and from the perspective of external observers this is equivalent to being permanently inaccessible.

The case against wormholes: Two black holes of different origins, each formed from the collapse of a different star, have no reason for any intrinsic connection between their information structures. A black hole formed from the collapse of one star and a black hole formed from the collapse of another have entirely independent information histories; no underlying connection mechanism exists between them. Forcing a connection would require an information conversion of extreme complexity between the two information singularities.

Non-black-hole wormholes, meaning topological shortcuts between any two arbitrary spacetime regions, equally lack an underlying mechanism within the framework. The only relationship between grid cells is adjacent transmission. For any two non-adjacent regions to establish a direct connection, the system would require a specially configured long-distance bridging mechanism that has no analog in current observation.

15. Gravitational Waves

Gravitational waves are the mechanism by which excess gravitational gradient is dispersed outward when grid information processing exceeds the system's threshold.

Trigger condition: When grid information processing exceeds the upper limit, the Convergence cycle of that region approaches infinite length. If this state continues to expand, any structure with gravitational gradient that it contacts will be absorbed, and cosmic structure will be unable to remain stable. Gravitational waves are the system's dispersal mechanism to prevent this, diffusing the excess gravitational gradient outward in all directions.

Why gravitational waves behave as waves: The fundamental reason is that the trigger is not a single-point event but a temporal cascade of multi-cell overload. When massive bodies collide, overload begins in the small number of grid cells that first make contact, then spreads rapidly through gradient superposition to tens of thousands of adjacent cells, each triggering gradient dispersal at a slightly different moment. The sequential timing combined with the continuously expanding area of coverage produces, at the macroscopic scale, the phenomenon of gravitational gradient propagating outward in wave form. The wave in gravitational wave is therefore not a borrowed description but a necessary consequence of the multi-cell cascade trigger mechanism at the macroscopic scale.

Why gravitational waves propagate at the speed of light: The speed of light is the highest speed corresponding to the system's grid refresh, and is the only speed limit with an underlying definition within the framework. Gravitational waves handle gradient overload and are themselves a threshold-release response. Propagating at the speed of light means completing dispersal in the shortest time the system allows, keeping the impact within the smallest possible range. Any sub-light speed has no underlying basis within the framework; the speed of light is the only justified answer.

The structural logic of gravitational waves not interacting with matter: The system has three possible ways of handling gradient overload. The first is to directly remove excess information, but this would cause internal observers to measure mass vanishing from nothing, which is entirely mathematically inconsistent. The second is to release it in the form of energy, but energy release means it must enter the mass-energy framework and interact with matter in the form of light, radiation, and the like, which would cause extreme collision events to produce large-scale disturbances to the cosmic background, inconsistent with observation. The third is to disperse the gravitational gradient in the form of gravitational waves, without entering the energy framework: grid cells along the path experience only a brief gradient disturbance, with no accumulation and no superposition, and the grid returns to its original state after the gravitational wave passes. The problem is resolved without triggering other cascading contradictions. The underlying physical mechanism for why gravitational waves do not interact with matter falls outside the GRC framework's scope and is listed as an honest boundary.

Ordinary orbiting bodies do not produce gravitational waves. Triggering gravitational waves requires the gradient superposition to exceed the system's threshold; the gradients of ordinary celestial bodies fall far below this threshold and do not trigger the dispersal mechanism. General relativity, from the mathematical structure of its field equations, predicts that any accelerating mass will radiate gravitational waves. The GRC framework's mechanistic prediction is the opposite: this is a discrete threshold trigger, not continuous radiation. Current observation has never detected gravitational waves from ordinary celestial systems, which is consistent with the framework.

The values that general relativity predicts for gravitational waves from ordinary celestial bodies are extremely small, beyond the sensitivity of current detection technology. The two frameworks' predictions therefore cannot currently be directly distinguished by existing instruments, but their directional predictions differ.

Binary systems and collision events: Two high-mass bodies each already carry an extremely high gravitational gradient. When they enter each other's gradient range, the two gradient fields begin to superpose; their combined total exceeds the system's threshold, and gravitational waves are continuously released. The orbital motion keeps this over-threshold state sustained without immediate collision, so the gravitational waves are continuous and gradually intensify, reaching their peak at the moment of collision and then decreasing as the gradient disperses. A single stationary high-mass body, though approaching the information processing limit, remains within a static equilibrium and does not trigger the dispersal mechanism; it therefore produces no gravitational waves.

What gravitational waves carry away is gradient, and gradient corresponds to information content; the effective information content of the collision region continuously decreases during the process. The mass of the merged object is therefore slightly less than the combined mass of the two original bodies, with the difference corresponding to the energy carried away by gravitational wave radiation. In the GW150914 event detected by LIGO in 2015, the two black holes had masses of approximately 36 and 29 solar masses respectively; the merged result was approximately 62 solar masses, with a difference of about 3 solar masses released in the form of gravitational waves. This is consistent with the inference above.

Neutron stars and black holes, because of their extremely small volumes, can approach each other very closely while orbiting, and their gradient superposition is far higher than that of ordinary bodies of the same mass. They can sustain above-threshold levels and produce significant gravitational wave radiation, causing the orbit to slowly shrink. This is the precursor process to the massive-body collision events observed by LIGO. It is worth noting that not all orbits contract toward a center: the Moon, due to energy transfer from tidal friction with the Earth, is actually slowly receding from Earth at approximately 3.8 centimeters per year.

Correspondence with LIGO observation: The timing differences observed by LIGO are the result of gravitational waves causing brief gradient fluctuations in the grid cells traversed by the laser beams in the two arms, leading to inconsistent refresh rates. After the gravitational wave passes, the grid cells return to their original state; the gradient is not retained or accumulated.

Gravitational waves transmit gradient without superposing: An ordinary gravitational gradient field is static, decreasing outward from the object, and does not detach from the object to move on its own. When two gradient fields meet: if the bodies ultimately merge, the gradient fields undergo permanent superposition; if the bodies pass by each other, the gradient fields briefly superpose as they approach and each recovers independently after separation.

Gravitational waves, by contrast, actively transmit gradient outward from the overload point, and this transmission does not trigger superposition effects. The ability to transmit gradient without superposing is the structural prerequisite for gravitational waves to function as an overload-relief mechanism.

Dark matter and gravitational waves: a shared underlying logic: Dark matter and gravitational waves are two independently standing puzzles in existing physics. Within the framework, they share a single line of logic: both are expressions of gradient states rather than independent information objects, and therefore both fall outside any interaction framework, both cannot be directly observed, and both can only be measured indirectly through gravitational effects. Dark matter is the static gravitational gradient grid extending beyond an object's solid boundary; gravitational waves are the dynamic gradient disturbance transmitted outward when gradient overloads. Their forms differ; their underlying reason is the same.

16. The Fine-Tuning Problem

Physics observes that the universe's fundamental constants, including the speed of light, the gravitational constant, and Planck's constant, if even slightly different, would prevent the universe from forming stable structures, let alone life.

GRC's interpretation operates on two levels.

The first level is the Anthropic Principle: a universe capable of producing intelligent life to ask why are the constants so precisely tuned is necessarily a universe whose constants happen to permit intelligent life to exist. A universe with incompatible constants never has the opportunity to evolve life capable of asking the question.

The second level is internal system consistency: within the GRC framework, the physical constants are not arbitrarily selected values, but the internal ratio relationships that the system's structure, including the discrete grid, the fixed refresh rate, and information conservation, must maintain in order to operate stably. Changing one constant requires the other mechanisms to adjust accordingly, and the result is still another internally consistent set of constants. Regardless of which set of constants is in place, any universe that evolves life capable of asking the question will necessarily ask why these constants? This means the question cannot point toward any specific answer.

17. The Higgs Mechanism

In the Standard Model of physics, the rest mass of fundamental particles comes from the Higgs field. Particles that couple with the Higgs field acquire rest mass; particles that do not couple, such as the photon, have zero rest mass.

GRC's interpretation is that the Higgs field is the particle-physics name for the grid's Baseline Information. As described in Section 5, each activated grid bubble contains a minimum information quantity, distributed throughout the entire activated region of the universe with a nonzero value everywhere. This is the underlying counterpart of the Higgs field. The Higgs field is the name particle physics has derived from the observational level; Baseline Information is the description the framework derives from the underlying level. Both refer to the same fact. Standby Bubbles carry no Higgs field, so the extent of the Higgs field exactly matches the extent of the activated universe.

Within the GRC framework, a particle's rest mass arises from its static occupancy information I. Massive particles contain static occupancy information (I > 0); the grid must continuously maintain their state of existence, and this maintenance burden corresponds to rest mass. The photon, as a Pure Motion Information Packet, contains no static occupancy information (I ≈ 0); the grid does not need to maintain its existence, and its rest mass is zero. Why different particles have different I values cannot currently be derived from GL and GR; this is an open boundary at the same level as the problem of coupling strength differences in the Standard Model.

Honest boundary: The framework can explain that mass arises from static occupancy information I, but why different particles have different I values cannot be derived from GL and GR. This is an open question at the same level as the inability to derive the Yukawa coupling constants from first principles in the Standard Model.

Reference physical concepts: Higgs field, Standard Model.

18. The Cosmological Constant Problem

Quantum field theory predicts a vacuum energy density of approximately 10⁹⁶ kg/m³; astronomical observation measures the actual value at approximately 10⁻²⁷ kg/m³, a discrepancy of approximately 123 orders of magnitude. This is the largest gap between theoretical prediction and observational result in the history of physics; the Standard Model currently offers no explanation.

The Casimir effect is an experimental facet of this tension. Between two conducting plates placed extremely close together, the vacuum's quantum oscillation modes are constrained by the geometry: more oscillation modes can enter from outside the plates than from between them, producing a measurable pressure difference that draws the two plates together. This effect has been precisely measured in laboratory settings. The Casimir force decreases inversely with the fourth power of the distance (F ∝ 1/d⁴); halving the distance increases the force sixteenfold. What troubles physicists is that this experiment clearly demonstrates the real physical effects of vacuum quantum oscillations at the micrometer scale, yet when the same logic is applied to sum up the zero-point energy of every increment of space to cosmic scale, the calculation should lead to the universe being torn apart by violent repulsive forces shortly after its birth, far more violent than the observed rate of expansion. (The Casimir effect was precisely measured by Steve Lamoreaux in 1997; the inverse-fourth-power relationship of the Casimir force with distance has been experimentally confirmed.)

GRC's diagnosis: The 123-order-of-magnitude discrepancy arises from two compounding errors.

The first is a category error. Quantum field theory places two energies of completely different natures into the same calculation. Substrate Energy maintains the existence of the grid, is uniformly distributed, does not curve spacetime, and does not enter Einstein's field equations. Observable Energy is a parameter of grid content, participates in all physical interactions, and produces gravitational effects. When quantum field theory sums the zero-point energy over all momentum modes, the result is a mixed value combining both levels of energy. But only Observable Energy curves spacetime. Substituting this mixed value directly into the field equations is the first root of the discrepancy.

The second is computational overestimation. Quantum field theory performs a continuous integral over all momentum modes, implicitly assuming that space is infinitely divisible. Within the GRC framework, space is discrete; the integral is naturally cut off at the scale of GL. The infinite superposition effects corresponding to continuous integration do not exist at the underlying level, and the predicted value is therefore systematically too high.

The two errors compound each other to produce this order-of-magnitude discrepancy. This is not a calculation error but a confusion at the conceptual level.

The framework's mathematical expression:

ρvac = ρsubstrate + ρ_observable

Here ρsubstrate is the Substrate Energy density, uniformly distributed and not entering the field equations. What enters the right side of Einstein's field equations is only ρobservable, the fluctuating component of the Observable Energy density within the universe. The cosmological constant Λ corresponds to what remains after subtracting the Substrate Energy, a value that is extremely small and consistent with observation.

Why the cosmological constant is not zero:

Observation shows the universe is accelerating in its expansion, corresponding to Λ > 0. The framework's interpretation connects with the dark energy account in Section 13: the boundary of zero-gradient grid cells within the universe continuously advances, and the activated space continuously expands. At the scale of an internal observer, this process presents as a small but nonzero effective energy density, corresponding to a positive cosmological constant. The precise value of Λ is an observational input; the framework does not assert that it can be derived directly from GL and GR.

Reference physical concepts: Vacuum zero-point energy, the vacuum state in quantum field theory, Einstein's field equations, dark energy.

19. The Antimatter Asymmetry Problem

Physics predicts that the Big Bang should have produced equal quantities of matter and antimatter; after mutual annihilation, the universe should tend toward emptiness. Observation shows the universe is dominated by matter, with antimatter extremely scarce. The Standard Model currently cannot fully explain this asymmetry.

GRC's interpretation is that the antimatter asymmetry is a problem built on an unnecessary assumption.

First level: antimatter is a minority variant of matter, not its opposite. Antimatter need not be understood as the opposite of matter; it is simply a variant of matter with a different parameter combination. Within the framework, the positron (antielectron) is simply a particle carrying a particular parameter combination; its difference from the electron lies in specific parameters such as the sign of its charge, not in some fundamental reverse existence. The question why is there so little antimatter is built on the assumption of mathematical parity in the Dirac equation: because the equation mathematically permits two solutions, physics assumed the two kinds of existence should appear in equal quantities. But a mathematically symmetric solution does not necessarily correspond to equal physical quantities in existence.

Many rare particles in the universe are fundamentally just the natural products of all physical constants and mechanisms under specific conditions; when those conditions are rare, the products are rare, and no deeper explanation is needed. Antimatter belongs to the same category.

Second level: the banana argument. The scarcity of antimatter is not a mystery. The potassium-40 in bananas continuously releases positrons (antielectrons), yet no one calls a banana an antimatter banana. A positron is simply a decay product, one possible output of information parameters. By the same logic, the universe contains abundant sources of positron emission yet has not produced an antimatter universe, which demonstrates precisely that antimatter is a product of specific physical processes and not one of the universe's fundamental building materials. Why is there so little antimatter is therefore a pseudo-problem, built on an unnecessary assumption of equal parity.

Third level: difficulty of production describes the environment, not the essence. That antimatter is difficult to produce in the current universe is unsurprising. The difficulty of production simply indicates that antimatter is not a native product of the current cosmic environment, just as helium-3 is difficult to produce on Earth but abundant on the Moon. This is not because helium-3 is special, but because the environmental conditions differ. In a universe dominated by antimatter, ordinary matter would be the rare commodity that is difficult to produce. This is not a mystery but a consequence of initial conditions.

The framework's position: The antimatter problem is not a puzzle the GRC framework needs to solve, but a pseudo-problem built on an assumption of mathematical symmetry. The framework makes no claim about the specific mechanism by which the initial conditions produced more matter than antimatter, and lists this as an honest boundary.

Reference physical concepts: CP violation, Baryogenesis, Dirac equation.

Part Three: The Framework's Honest Boundaries

What the GRC framework can do:

The framework provides a common underlying interpretive language for quantum mechanics and relativity. It offers internally consistent inferential explanations for dark matter, dark energy, black holes, gravitational waves, mass, and physical constants. Following Occam's razor, it covers the greatest number of phenomena with the fewest assumptions. It provides an initial mathematical framework and a set of prediction directions that are in principle distinguishable from existing theories, with detailed formalization and specific numerical values left for subsequent research. Mathematical derivations are available in the companion document, GRC Mathematical Derivations, General Edition. It offers one distinguishable prediction from general relativity: gravitational waves have a threshold, and ordinary orbiting bodies do not produce gravitational waves, unlike general relativity's prediction of continuous radiation. Current observation is consistent with the framework.

Testable Predictions Currently Proposed by the GRC Framework:

Prediction 1: Gravitational Waves Have a Threshold Ordinary celestial bodies in mutual orbit do not produce gravitational waves. Triggering gravitational waves requires the stacked gradient to exceed a system threshold; ordinary bodies fall far below this threshold. General Relativity predicts, from the mathematical structure of its field equations, that any accelerating mass continuously radiates gravitational waves. GRC predicts the opposite: this is a discrete threshold trigger, not continuous radiation. LIGO observations have never detected gravitational waves from ordinary celestial systems, consistent with the framework. The difference between the two frameworks currently cannot be directly resolved due to detection sensitivity limits, but the predicted directions are clearly distinct.

Prediction 2: The Scale of Discrete Spacetime Effects The framework predicts that discrete spacetime effects appear at the GL scale, estimated at approximately 10⁻³⁹ m — about four orders of magnitude below the Planck scale (10⁻³⁵ m). If future experimental technology can detect discrete signals at this scale, GRC can be distinguished from Loop Quantum Gravity and other discrete spacetime theories. This currently exceeds the range of any existing or near-term foreseeable experimental technology.

Prediction 3: Velocity Dispersion of High-Energy Photons If spacetime is discrete at the GL scale, photons of different energies propagating over cosmological distances will accumulate minute velocity differences due to discrete effects. Gamma-Ray Burst observations (e.g., via the Fermi telescope) are currently the most feasible observational window. Existing data have not yet yielded a positive signal, but continue to narrow the upper limits.

Prediction 4: A Frequency Cutoff Upper Limit for Gravitational Waves If spacetime is discrete at the GL scale, gravitational wave frequencies have a natural cutoff: modes above f_max = c/GL have no corresponding physical meaning on the discrete lattice and cannot exist. Third-generation gravitational wave detectors (such as the Einstein Telescope) extend their detection band toward higher frequencies and in principle have greater sensitivity to this cutoff effect. This prediction distinguishes GRC from General Relativity, which predicts no frequency cutoff.

All four predictions are inferences from the framework's structure, not deterministic predictions. Prediction 1 is currently consistent with observation and is the framework's most verifiable claim. Predictions 2 through 4 require experimental precision far beyond current technology, or await the next generation of detectors.

**What the GRC framework currently cannot do:

The framework cannot make any substantive description of the nature of the Meta-system, and it cannot replace the experimental verification basis of existing physics.

Questions the GRC framework explicitly sets aside without making claims:

Who or what runs the system; the energy source of the Meta-system; whether the Standby Bubbles have a boundary, and the total quantity of pre-existing space; whether other universes exist beyond this universe; the numerical value of the grid's minimum processing unit (finding it would be equivalent to finding the grid itself, currently beyond human measurable range); how many bubbles were involved in the initial high-load region and the physical scale of that region (the physical scale of bubbles being unmeasurable makes this incalculable); the stable rate of cosmic expansion (corresponding to the Hubble constant problem; the framework cannot derive this from GL and GR); the relationship between the uniformity of Standby Bubble distribution and the non-uniformity of the universe's large-scale structure (inferential; cannot be derived from the framework); the dimensionless proportionality constant k in Newton's gravitational constant, where G_Newton = k × GL²/GR² (the structure is derivable from the framework, but k contains both a geometric factor and a unit-bridging component, the latter requiring experimental input and currently not derivable numerically); the underlying physical mechanism for why gravitational waves do not interact with matter; the differences in coupling strength between individual particles and the underlying Refresh Burden (the framework can explain that coupling exists and that coupling strength determines rest mass, but why different particles have different coupling strengths cannot be derived from GL and GR; this is an unsolved problem at the same level as the Yukawa coupling constant problem in existing physics); the specific initial-condition mechanism of the antimatter asymmetry; whether photons produce gradient effects on the grid cells they traverse during propagation (the framework does not currently address this explicitly; listed as an open question); the positioning of neutrinos within the framework (their rest mass is extremely small but nonzero, their velocity is extremely high but does not reach the speed of light, making them an edge test case for the framework's conservation equation I + p = GR; to be addressed in subsequent discussion).

This document is the full conceptual version, intended for further discussion and subsequent research. Concepts derived by Hyatt Pan. Document compiled April 2026.

Read the original Chinese version 《宇宙格點刷新論概念文件》

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