Informational Relativity (IR)

Informational Relativity (IR) : A Unified Framework for Dark Matter, Dark Energy, and Quantum Gravity This book presents a unified theoretical framework deriving all fundamental physics from a single axiom: space has d = 3 dimensions. Core Results: Starting from d = 3 and two structural requirements (normalization and multiplicative conservation), we derive analytically: -Mathematical constants: e, π, √2, √3, ζ(2) = π²/6 = π²/3!-The Hertault angle: θ_H = arccos(√(2/3)) = 35.264°-Holographic exponent: β = (d-1)/d = 2/3-Dark sector ratio: Ω_Λ/Ω_m = cot²(θ_H) = 2 (observed: 2.17 ± 0.1) Key Discoveries: 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] 2.The Koide formula Q = 2/3 is not a coincidence—it equals the holographic exponent β 3.Neutrino mass ratio Δm²₂₁/Δm²₃₁ = 1/F₉ = 1/34 (99.5% accuracy with observations) 4.Fibonacci structure underlies particle physics: β = 2/3 = F₃/F₄ 5.Three generations of fermions exist because d = 3 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. 209 pages including complete mathematical derivations, cosmological predictions, and experimental tests. --- Keywords: dark matter, dark energy, quantum gravity, holographic principle, cosmology, unified field theory, Fibonacci, mathematical physics, Koide formula, neutrino physics, dark boson, informational relativity, emergence, fundamental constants, Hertault angle, dimensional analysis