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| Format: | Recurso digital |
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Zenodo
2026
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| Accès en ligne: | https://doi.org/10.5281/zenodo.18675110 |
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Table des matières:
- <p><strong>Informational Relativity (IR) </strong>: A Unified Framework for Dark Matter, Dark Energy, and Quantum Gravity</p> <p>This book presents a unified theoretical framework deriving all fundamental physics from a single axiom: space has d = 3 dimensions.</p> <p><strong>Core Results:</strong></p> <p>Starting from d = 3 and two structural requirements (normalization and multiplicative conservation), we derive analytically:</p> <p>-Mathematical constants: e, π, √2, √3, ζ(2) = π²/6 = π²/3!<br>-The Hertault angle: θ_H = arccos(√(2/3)) = 35.264°<br>-Holographic exponent: β = (d-1)/d = 2/3<br>-Dark sector ratio: Ω_Λ/Ω_m = cot²(θ_H) = 2 (observed: 2.17 ± 0.1)</p> <p><strong>Key Discoveries:</strong></p> <p>1.Dark Matter and Dark Energy are unified through a single scalar field (the Dark Boson) with density-dependent mass: m²(ρ) ∝ [1 - (ρ/ρ_c)^β]</p> <p>2.The Koide formula Q = 2/3 is not a coincidence—it equals the holographic exponent β</p> <p>3.Neutrino mass ratio Δm²₂₁/Δm²₃₁ = 1/F₉ = 1/34 (99.5% accuracy with observations)</p> <p>4.Fibonacci structure underlies particle physics: β = 2/3 = F₃/F₄</p> <p>5.Three generations of fermions exist because d = 3</p> <p>The framework connects number theory (primes, Fibonacci, Riemann zeta) to particle physics through holographic geometry, suggesting that the universe computes its own constants from pure mathematics.</p> <p>444 pages including complete mathematical derivations, cosmological predictions, and experimental tests.</p> <p>---</p> <p><strong>Keywords</strong>:</p> <p>dark matter, dark energy, quantum gravity, holographic principle, cosmology, unified field theory, Fibonacci, mathematical physics, Koide formula, <br>neutrino physics, dark boson, informational relativity, emergence, <br>fundamental constants, Hertault angle, dimensional analysis</p>