The N.E.A. Grand Compendium: The Computational Ontology of the Crystalline Universe

Abstract

The Network Emergent Architecture (N.E.A.) derives the complete spectrum of fundamental physics from a single logical primitive: the existence of at least one decidable state. All four propagating forces—gravity, electromagnetism, the strong and weak nuclear forces—are modes of one causal equation: dφ/dt = √(1 − 2φ) · (∇²φ − μ_i²φ + Δσ_i) Forces differ only by carrier, inverse range parameter μ_i, and source density σ_i. The static limit is the bandwidth-closure equation: ∇²f_ext² + μ_i²(1 − f_ext²) = 2Δσ_i, f_ext² = 1 − 2φ. Four forces as four modes of one equation: Gravity: C8 lattice, μ = 0, σ = 1, long-range, dilutedElectromagnetism: C8 edges, μ = 0, σ = 4, long-rangeStrong force: K4 tetrahedron, μ = μ_π,μ_ρ, σ ≈ 310, confined, fadingWeak force: octahedron, protocol, protocol, one-time handshake The framework does not begin with Lagrangians, symmetries, or physical axioms. It begins with the existence of at least one decidable statement. From this follow Being, difference, change, the discrete Tick, the Being Tax B = 1, and the Pythagorean bandwidth law f_int² + f_ext² = B² = 1. All fundamental constants arise from the same three topological genes: d = 3, U_EM = 0.4π, U_weak = 10√3. The fine-structure constant is computed as α^(-1) = 25√3·π + 1 ≈ 137.035, with deviation 0.0008%. The weak mixing angle is sin²θ_W = 1/(1+π) − Δ/(4π) ≈ 0.23079, with deviation 0.18%. The fermion mass spectrum follows a compact topological chain; heavy-quark deviations are below 4%. The topological scale skeleton locks the fundamental scales: α_G^(-1) = N_max^5 / R,m_p / Z = f_geo · (√R/(1+R)) · N_max^(1/2),ℓ_P / λ_Z = (1+R) / (f_geo · N_max^3), with exponent closure −6 + 1 + 5 = 0. Deviations are 0.12%, 0.017%, and 0.043%. The native spacetime scales are t_Tick = ħ / Z ≈ 1.619×10^(−21) s,a_0 = ħc / Z ≈ 485.26 fm. The gravitational, electromagnetic, and strong-force sectors each match their respective reference observables with settlement ratio 1.00. There are no freely adjustable continuous parameters in the topological sector. The principal falsifiable prediction remains: dark matter and dark energy are not particle-like. All dark matter annihilation, decay, direct-detection, and dark-energy particle signals must be strictly zero. A single confirmed signal would falsify the framework.