MEG Theory

Modular Entropic Gravity

Deriving the Standard Model and gravity from the vacuum entanglement kernel

Modular Entropic Gravity (MEG) is a theoretical framework in which gravity, gauge fields, and quantum mechanics emerge from a single object: a vacuum distinguishability kernel equipped with four axioms. The framework derives — rather than assumes — the Standard Model gauge group SU(3) × SU(2) × U(1), the three-generation fermion structure, and the coupling constants of nature, with no free parameters.

Headline Results

The programme produces quantitative predictions across gravity, particle physics, and cosmology. Representative results, each derived from the four axioms with no adjustable parameters:

Quantity MEG Prediction Observation Accuracy
Newton's constant G 6.2 × 10⁻¹¹ 6.674 × 10⁻¹¹ 7%
Electroweak VEV vEW 246.8 GeV 246.2 GeV 0.2%
Strong coupling α₃ 0.324 0.326 0.7%
CKM angles derived (3 params) observed 0.12°
PMNS mixing derived (0 params) observed 4.5%
Σmν (neutrino masses) ~73 meV < 120 meV testable
Higgs mass 124.9–128 GeV 125.25 GeV 0.3–2%
Gauge group SU(3) × SU(2) × U(1) SU(3) × SU(2) × U(1) exact
Generations 3 3 exact

Full derivations, methodology, and context are available on the Results page. The complete paper catalogue is on the Papers page.

The Core Idea

The starting point is a vacuum distinguishability kernel — a measure of how distinguishable the vacuum state is from itself across spatial separations. This kernel, equipped with four axioms (locality, monotonicity, modular covariance, and the variational principle), determines the geometry of spacetime, the gauge structure of matter, and the constants of nature.

The projection from the kernel to spacetime observables has three structural outputs:

The faithful part of the projection produces gravity — spacetime geometry, curvature, and the Einstein field equations emerge from the variational principle applied to the projected entropy field.

The non-faithful part produces quantum mechanics — interference, measurement, and black hole thermality arise from the distinguishability deficit between kernel and projected descriptions.

The noiseless part produces gauge fields — the internal spinor fibre is invisible to the scalar projection, making local frame orientation unphysical and establishing gauge invariance as a derived consequence.

The framework is described in detail on the Framework page. The programme currently spans approximately 90 papers, available on Zenodo.

Recent Developments

The mass gap programme has established the colour-sector confinement scale to sub-percent accuracy: the kernel's tunnelling fugacity, matched to the one-loop instanton amplitude with the Gross–Pisarski–Yaffe determinantal coefficient, gives α₃ = 0.324 — within 0.7% of the lattice value — with no free parameters. The topological charge of the tunnelling cycle (Q = 1) is derived through the adjoint hedgehog mechanism, in which the directional noiseless condition forces the 't Hooft gauge connection. See the mass gap paper for the full analysis.