March 3, 2026Open Access

The Computational Architecture of Reality: A Unified Theory of Emergent Physics (Tamesis Kernel v3)

Key Points

The computational model derives structural relationships between fundamental constants with 93.3% accuracy, significantly enhancing consistency.
Key metrics include the fine structure constant α = 137.036 and dark energy Ω_Λ ≈ 0.704, both within a few percent error.
The theory employs a discrete informational graph and achieves a 50-60% reduction in theoretical parameters compared to the Standard Model.
This unified theory provides testable predictions for forthcoming experimental setups, indicating potential advancements in our understanding of the universe.

Abstract

We present a unified model of the universe as a distributed computational system operating on a discrete informational graph, termed the "Tamesis Kernel" — characterized by graph connectivity k ≈ 54, which is phenomenologically determined by requiring consistency with the observed fine structure constant α ≈ 1/137. From this framework, we derive structural relations between 12 fundamental constants with 93. 3% overall accuracy. IMPORTANT CLARIFICATION: We distinguish clearly between genuinely derived quantities, self-consistent constraints, and phenomenological fits. The theory has 7-10 effective parameters (compared to Standard Model's 19+), representing a ~50-60% reduction in theoretical arbitrariness. Key Quantitative Results: - Fine Structure Constant: α = 2π/ (dₛ · k · ln k) — origin: ratio of U (1) holonomy to phase space volume. Result: α⁻¹ = 137. 036 (0. 02% error). Note: This is a self-consistency equation, not independent derivation. - Fermion Masses: Derived from Froggatt-Nielsen hierarchy with phenomenological parameters ε, β, γ. - Gauge Couplings: g₁, g₂, g₃ from graph topology (0. 8% error). sin²θW (GUT) = 3/8 from SU (5) normalization. - Higgs Mass: mH = 125. 5 GeV from vacuum stability (0. 4% error). - Dark Energy: Ω_Λ = (2/π) (1 + Ωₘ/3) ≈ 0. 704 — holographic projection resolves the 10¹²² cosmological constant problem (2. 7% error). The factor 2/π is a universal geometric constant from circular projection integrals. - Critical Mass: Mc = mP × (a₀/aP) ^ (1/8) ≈ 5. 3×10⁻¹⁶ kg — derived from 8-dimensional phase space geometry. Coherence time τc = ℏ·Rc/ (G·Mc²) ≈ 2. 18 seconds from Penrose-Diósi gravitational self-energy. - Continuum Limit: Rigorously proven via Gromov-Hausdorff convergence. Executive Summary: Tamesis reconfigures physics as a computational process. Spacetime (g_μν), Matter (πₙ), and Gravity (T_μν (info) ) emerge statistically from a discrete informational graph minimizing processing cost. Unlike previous unifications, we document both achievements and limitations with scientific honesty. The Mc prediction provides a falsifiable test for next-generation interferometry (MAQRO, TEQ). References: Verlinde (2011), 't Hooft (1993), Susskind (1995), Penrose (1996), Diósi (1987). DOI: 10. 5281/zenodo. 18407409

The Computational Architecture of Reality: A Unified Theory of Emergent Physics (Tamesis Kernel v3)

Key Points

Abstract

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