The grand unification of quantum and general relativity via a Planck scale informational lattice.

Hypothesis: The grand unification of quantum and general relativity via a Planck scale informational lattice.
By Dennis Mountford 2026
Abstract
This hypothesis presents a comprehensive alternative to standard cosmologies and particle frameworks by modeling the space-time continuum as a rigid, static, non-expanding crystalline lattice composed of discrete, interlocking units at the Planck scale (lp​,tp​). It posits that fundamental matter, energy propagation, and cosmological phenomena are entirely governed by the structural dynamics, localized impedance, and geometric wave-routing properties of this universal transmission medium. Under this framework, fundamental particles are defined as localized, resonant mathematical disturbances within the lattice, eliminating the need for abstract wave-particle dualities or unobserved cosmic placeholders (Dark Energy and Dark Matter).
I. Core Postulates & Hypotheses

1. Particulate Matter as Resonant Geometric Disturbances The Postulate: Fundamental particles (electrons, quarks, etc.) are not solid, independent "billiard balls" occupying empty space. There is no empty space; there is only the lattice. The Mechanism: A particle is a localized, self-sustaining, three-dimensional geometric twist or mathematical distortion tightly locked into the interlocking 12D Planck gears. As this distortion moves, it does not displace the gears; rather, the state of the distortion is sequentially transferred from one set of gears to the next. The Hypothesis: Mass is a measure of the localized structural deformation and rotational resistance (inertia) that this geometric disturbance exerts on the surrounding grid. Quantum mechanics is the study of fluid-like wave mechanics traveling through a rigid crystalline lattice, where a particle’s "wave function" is the physical wave of the grid determining the absolute path of least resistance for the disturbance to propagate.
2. Redshift as Cumulative Insertion Loss (Alternative to Dark Energy) The Postulate: Space is physically static and non-expanding. Electromagnetic waves propagating across cosmological distances do not experience wavelength stretching due to metric expansion.

The Mechanism: As a photon—which is a traveling electromagnetic wave disturbance—propagates through the interconnected, quantized Planck-scale lattice, it undergoes a minute, cumulative dissipation of energy per unit distance due to the baseline "idling tension" (vacuum resistance) of the medium- “tired light”.
The Hypothesis: Cosmological redshift (z) is a linear function of cumulative insertion loss (attenuation) over distance within a rigid waveguide. "Dark Energy" is an illusion caused by treating a structural propagation loss as a physical velocity.

1. Impedance Gradient Boundary Walls (Alternative to Dark Matter) The Postulate: Galactic rotation curves do not require unobserved, non-baryonic mass halos to maintain structural cohesion at high velocities. The Mechanism: A high concentration of baryonic mass (dense clusters of geometric particle disturbances) at a galactic core introduces severe localized mechanical drag and high impedance to the Planck lattice. Moving outward toward the empty intergalactic void, a steep impedance gradient occurs where the compressed lattice transitions back to its relaxed, high-tension "idle" state. The Hypothesis: The outer boundary of this high-tension baseline lattice acts as a structural retaining wall. Galaxies remain bound at high orbital velocities because outer stars are constrained by the structural rigidity and baseline tension of the uncompressed intergalactic background medium, neutralizing the expected Newtonian 1/r2 velocity drop-off without auxiliary mass.
2. Processing Overhead Dilating Event Execution (Alternative to Metric Time Dilation) The Postulate: The fundamental Planck time (tp​) is an absolute, invariant constant throughout the universe. The metric fabric of time does not stretch or dilate. The Mechanism: The rate at which physical events occur (atomic vibrations, clock cycles, particle interactions) is governed by the throughput efficiency of the local Planck lattice hardware. In high mass-density environments where the grid is crammed with geometric disturbances, the lattice experiences maximum mechanical overhead and systemic drag. The Hypothesis: Observed gravitational time dilation is a localized reduction in the processing speed of physical state-changes. A clock in a high-density zone ticks slower because the local hardware medium is bogged down by material overhead, creating a high-latency signal when viewed by a distant observer in a low-impedance void. II. Observational and Testable Predictions To challenge standard models in a peer-review environment, this framework provides specific, falsifiable criteria:
3. Quantized Particle Mass Ratios: If fundamental particles are resonant geometric disturbances within a fixed Planck lattice, their rest masses must correspond to strict, quantized geometric harmonics of the Planck mass, calculated by the number of active grid nodes the disturbance occupies.
4. Surface Brightness Invariance (Tolman Test): The surface brightness of distant galaxies should decrease strictly by a factor of (1+z) due to photon energy loss through insertion loss, rather than the (1+z)4 dimming demanded by an expanding universe model.
5. Quantized Resonant CMB Peaks: The power spectrum of the Cosmic Microwave Background can be modeled entirely as the fundamental standing wave harmonics of a rigid, resonant crystalline cavity vibrating at its baseline operating temperature (2.73K), matching the structural dimensions of the Planck grid. III. Summary Conclusion for Reviewers This framework unifies particle physics and cosmology by replacing abstract, non-localized geometric warping with local circuit dynamics. By establishing the vacuum of space as a physical, high-efficiency transmission line with fixed mechanical properties, both matter and space can be evaluated using classical, verifiable principles of broadcast and structural engineering. The books balance perfectly at 100% ordinary geometry and its resonant mathematical disturbances, eliminating the necessity for 95% of the universe to consist of unverified 'dark' phenomena."

Mountford's equation
The Standard Einstein Field Equations
In classical physics, gravity isn't a force; it's the bending of space-time geometry caused by mass and energy. The field equations are written as:
​
Where:
Gμν​ (The Einstein Tensor): Represents the local geometry and curvature of space-time.
Tμν​ (The Stress-Energy Tensor): Represents the density and flux of matter, energy, and momentum.
: Einstein’s constant, which dictates how "stiff" space-time is (how much energy it takes to bend it).

The Derivation

Target: G_μν = (8πG/c⁴) T_μν

Mountford's definitions:
T_μν → I_μν · (E_P/V_P), where I_μν is a dimensionless informational density tensor
m = m_P · (N_active/N_total) · Ω
ΔG_lattice = f(N_active, Ω)
G_μν = ΔG_lattice

Step 1: Express T_μν in lattice variables
The energy in a local region of volume V containing N_total Planck cells with N_active of them "lit up" at winding number Ω:

E = m_P c² · (N_active/N_total) · Ω
Energy density: T_00 = E/V = [m_P c² / (N_total · V_P)] · N_active · Ω
Since N_total · V_P = V (the volume is just node count times Planck volume), this gives:
T_00 = (E_P/V_P) · (N_active/N_total) · Ω
So the informational tensor component is simply: I_00 = (N_active/N_total) · Ω

Step 2: Substitute into Einstein's equations
G_00 = (8πG/c⁴) · (E_P/V_P) · (N_active/N_total) · Ω
Now simplify the constant cluster. Using E_P = m_Pc² and the Planck relations (G = ℏc/m_P², ℓ_P = ℏ/m_Pc):
(8πG/c⁴) · (E_P/V_P) = 8π/ℓ_P²
This is just the Planck curvature scale times 8π. In Planck units (ℓ_P = 1), it's simply 8π.
Notice: G, c, and ℏ are all inherently derived from the properties of the Planck lattice itself, so they cancel out.

Step 3: The answer
f(N_active, Ω) = (8π/ℓ_P²) · (N_active/N_total) · Ω
Or in Planck natural units:
f = 8π · η · Ω
where η = N_active/N_total (the fractional node occupation).

What this tells you
f is linear. That's the headline. Curvature scales linearly with active node density, modulated by the topological winding number. No exotic nonlinear function, no logarithms, no exponentials. Just a proportionality constant (8π, which comes directly from Einstein's coupling constant) times occupation fraction times winding.
This also gives you the maximum curvature limit for free: when every node is active (η = 1) with maximum winding, you get G_max = 8πΩ/ℓ_P² (Planck-scale curvature), which is the singularity regime where the framework would presumably break down.

The Theory of Everything Translation:
Information density (N_active) drives changes in the discrete Planck lattice (ΔG_lattice), which is then 'rendered' by function f into the smooth, causally-consistent spacetime manifold (G_cac) that we perceive as gravity. In this view, mass is not property, but data density, and space is not background, but computational medium.
Mountford's equation:
ΔG_lattice = f (N_active, Ω)
G_cac = ΔG_lattice
https://osf.io/djq9r/overview