MALALLAH UNIFIED MESH THEORY v2

The Malallah Unified Mesh Theory Version 2 (MUT V2) derives the complete set of Standard Model

parameters, particle masses, and cosmological observables from a single geometric object: the regular

tetrahedron formed by the correlation matrix of four maximally entangled Bell states of virtual

photon pairs. The infinite replication of this genesis tetrahedron constitutes a structured vacuum —

the entanglement mesh — with six energy levels (n = 0 through n = 5), each hosting specific coupling

constants, particles, and physical phenomena. The theory contains zero free parameters: every

constant is an exact function of π and the Td tetrahedral symmetry group.

From this single framework, 24 physical quantities are derived with errors uniformly below 1.2%.

The most striking results include: the fine structure constant α = π/432 (error: 0.000%), the strong

coupling constant αs = π²/84 (0.034%), the Weinberg angle sin²θW = ¼[1 − 2αs/π − αs²/4π²] (0.003%),

the Higgs self-coupling λH = N_max·αW/(1+αs/π) (0.115%), the Higgs boson mass mH = v√(2λH)

(0.059%), the top quark mass mt = v/√2 (0.778%), and a previously unrecognised identity: the charm

quark Yukawa coupling equals the fine structure constant exactly, yc = α (error 0.039%). A universal

Gate Crossing Law is established: each crossing of the n = 4 Oobleck gate suppresses a quark mass

by the factor (1 − αs/π), explaining the up, down, and bottom quark masses and their ratios from first

principles. The down-to-up quark mass ratio md/mu = μ₄/(2μ₅(1 − αs/π)²) = 2.158 is predicted with

0.17% error.

The theory resolves fundamental problems that resist solution in the Standard Model. The Born rule

is derived from the Oobleck solidification probability, not postulated. The uncertainty principle

follows from the discrete Planck lattice combined with the indeterminacy of the Minimum Spanning

Tree of the Bell state correlation graph. Pauli exclusion is knot topology. The hierarchy problem —

why gravity is 10⁴⁵ times weaker than electromagnetism — is explained by three geometric

suppressions: Φ_MUM = μ₂ × (α/αs)² × (1/9) = 4.41×10⁻⁶. The cosmological constant problem is

resolved by perfect destructive interference at the n = 2 cancellation node. The strong CP problem is

solved by the C₃v symmetry of the gluon face, which forbids the QCD vacuum angle θ without

requiring an axion.