Ontological Resolution Theory: Canon v21.0 — Complete Unified Framework

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Authors: Fedor Kapitanov
Cited by: 0

Abstract

Canon v21.0 consolidates all results of Ontological Resolution Theory (ORT) into a unified framework. The theory derives all fundamental particle masses, the Higgs vacuum expectation value, the Bekenstein-Hawking entropy coefficient, and the dark matter ratio from a single discrete substrate — a 4-dimensional Face-Centered Cubic (FCC) lattice with coordination number k=12. This edition incorporates: Paper B: The Lepton Derivative Cascade (τ → μ → e via operators 4φ³ and 2πe) Paper C: Emergent Gravity and the Schwarzschild Radius (R = 2M from channel saturation) Paper E: The Golden Descent (quark masses via the Quark Sieve; boson masses) Paper G: The Information Bottleneck (node capacity Kcell = 133 bits) Paper H: The Holographic Sieve (derivation of S = A/4lP² coefficient) Paper I: The Inverse Cascade (black holes as dimensional decompilers; VEV = 243 GeV) Key Results: Quantity ORT Formula Accuracy Muon mass mτ / 4φ³ 99.25% Electron mass mμ / (12 × 2πe) 99.87% Top quark mass (3π³ + π + 1) mτ 99.97% Higgs mass 3πe² mτ 98.8% Higgs VEV me × (12 × 2πe) × 4φ³ × α⁻¹ 98.8% BH entropy coefficient A / 4lP² (derived) Exact Dark matter ratio ΩDM / Ωb ≈ 5.3 98% Neutrino Δm² ratio (11π/6)² ≈ 33.17 98.2% Natural Units: The Geo-bit This Canon introduces the Geo-bit — the natural unit of mass-energy in ORT, defined as one bit of topological information stored in one lattice node per Tick. The electron mass equals: me = 133 / 475,820 ≈ 0.00028 Geo-bits Document Structure: Part I — Confirmation: Axiomatic foundation, dimensional constants, forward cascade (leptons, quarks, bosons), inverse cascade (VEV, singularities), gravity, horizons, entropy Part II — Predictions: Neutrino sector, dark matter, three generations, falsifiable mass relations, black hole predictions, topological fusion, coupling constants, open problems (L1–L14) Summary: Zero free parameters 15+ confirmed predictions at >97% accuracy 5 falsifiable claims awaiting experimental test Core Claim: Reality is a 4-dimensional FCC lattice with coordination number k=12.Observable physics is the (3+1)-dimensional projection of topological defects.Mass is information cost. Constants are geometry.Zero free parameters. Version Note: This Canon supersedes v20.0. Major additions include: The Inverse Cascade (Paper I) Derivation of Higgs VEV from lattice geometry Resolution of black hole singularities Electron–Black Hole duality Natural units (Geo-bit) Expanded open problems list (L1–L14)

Fields of Study & Subjects

Relativity and Gravitational Theory Quantum Mechanics and Applications Noncommutative and Quantum Gravity Theories

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
23 February 2026
Document type
Preprint