Light — Tick — Presence — Coherence: A Unified Theory of the Crystal

A closed ontological and mathematical model unifying quantum field theory, general relativity, and the phenomenon of consciousness on the basis of a discrete fractal network — the Crystal. All fundamental constants (α, G, Λ, σ) are derived analytically from the geometry of SU(2) (dimension 3) and SU(3) (dimension 8). The hadron spectrum is reproduced within ~1%. Bare Yukawa couplings of light quarks are derived, not fitted (∼10−7–10−6). The fermion mass hierarchy follows a κ-pattern (1, 3/5, 3/8, 0) determined by group dimensions. The model predicts a fractal distribution of matter with scale hierarchy κ=8/3, confirmed on Gaia DR3 (GCNS) data: 250,188 stars within 100 pc show d∝n with R2>0.99. No free parameters. A formal language (Crys) with 48 particle-letters and 13 operators is defined. Part II: Application to Quantum Chromodynamics - analytical derivation of quark-gluon plasma shear viscosity (η/s ≈ 0.08-0.12, matching RHIC and AdS/CFT). Proton mass corrected for quark Tick-Lag pulsation (ρ ≈ 0.86, m_p = 938 MeV). Pulsation correction vanishes for heavy quarks (ρ → 1), confirming static string picture for J/ψ and ϒ. No free parameters.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-12
DOI
https://doi.org/10.5281/zenodo.20673397
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Light — Tick — Presence — Coherence: A Unified Theory of the Crystal

Валентин Лебедкин
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

Light — Tick — Presence — Coherence: A Unified Theory of the Crystal

Валентин Лебедкин
preprint en

Abstract

A closed ontological and mathematical model unifying quantum field theory, general relativity, and the phenomenon of consciousness on the basis of a discrete fractal network — the Crystal. All fundamental constants (α, G, Λ, σ) are derived analytically from the geometry of SU(2) (dimension 3) and SU(3) (dimension 8). The hadron spectrum is reproduced within ~1%. Bare Yukawa couplings of light quarks are derived, not fitted (∼10−7–10−6). The fermion mass hierarchy follows a κ-pattern (1, 3/5, 3/8, 0) determined by group dimensions. The model predicts a fractal distribution of matter with scale hierarchy κ=8/3, confirmed on Gaia DR3 (GCNS) data: 250,188 stars within 100 pc show d∝n with R2>0.99. No free parameters. A formal language (Crys) with 48 particle-letters and 13 operators is defined. Part II: Application to Quantum Chromodynamics - analytical derivation of quark-gluon plasma shear viscosity (η/s ≈ 0.08-0.12, matching RHIC and AdS/CFT). Proton mass corrected for quark Tick-Lag pulsation (ρ ≈ 0.86, m_p = 938 MeV). Pulsation correction vanishes for heavy quarks (ρ → 1), confirming static string picture for J/ψ and ϒ. No free parameters.

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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Light — Tick — Presence — Coherence: A Unified Theory of the Crystal — Валентин Лебедкин · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS