The Merkabit Architecture: A Candidate Unified Theory of Physics, A Zero-Parameter Derivation of the Standard Model, Gravity, Black Hole Thermodynamics, Holography, and the Fine Structure Constant from E₆ Coxeter Geometry and the Discrete Laplace Equation

The capstone of the Merkabit Research Series presents a candidate unified theory of physics built on a single algebraic forcing chain with zero free parameters.

Starting from the requirement that a self-correcting computational unit exist on the Eisenstein lattice, the chain R → Z₃ → P₂₄ → E₆ → PSL(2,7) forces the derivation of 17 fundamental constants — including the fine structure constant α⁻¹ = 137.036 (0.005 ppb vs CODATA 2018), the strong coupling constant α_s = 5/42 (0.02σ), the Weinberg angle sin²θ_W = 3/13 (0.19%), the Higgs vacuum expectation value, Newton's constant, the cosmological constant Λ = 2.876 × 10⁻¹²² (0.2%), and the Yang-Mills mass gap Δ = 1/24.

The architecture extends to black hole thermodynamics: the classical singularity is replaced by a T₇₅-saturated core at r_p/r_s = 0.154, the holographic principle emerges as a counting theorem on the discrete Laplace equation, and α⁻¹ is derived a fourth independent way from black hole boundary counting alone.

All five pre-registered hardware predictions were confirmed on IBM Eagle r3 and Heron r2 quantum processors within a single week (6–12 April 2026). Executable companion: github.com/SelinaAliens/genesis_sequence_merkabit — 17 rungs, 30-second runtime, pass/fail falsifiers.