β = 1/(8π): The Fundamental Constant of a Self-Optimizing Universe - Space-Matter Continuum as Unified Theory of Quantum Gravity, Galactic Dynamics, and Cosmological Acceleration

This preprint presents a groundbreaking theoretical paradigm: the Space-Matter Continuum (SMC), which identifies the universal constant β = 1/(8π) as the cornerstone of a new ontological framework for physics. Core Discovery: Empirical analysis of 175 spiral galaxies (SPARC catalog) reveals that the effective gravitational constant follows a universal law: G_eff(ρ) = G₀/[1 - β(ρ/ρ_P)], with measured parameter β = 0.0385 ± 0.0048, coinciding exactly with 1/(8π)—the fundamental constant from Einstein's field equations. Unified Framework: SMC provides a single, elegant solution to three major problems in modern physics: Galactic scale: Explains flat rotation curves without dark matter Cosmological scale: Explains cosmic acceleration without cosmological constant Quantum scale: Bridges to Planck density ρ_P through parameter η = ρ/ρ_P Key Results: Derivation of unifying relation: H²(η) = H₀² Ω_m η₀⁻¹ η / [1 - βη] Resolution of Hubble tension: H₀ = 73.2 ± 1.0 km/s/Mpc Dynamical dark energy: w(z) ≈ -0.95 - 0.30(1-a) Testable predictions for CMB, BAO, and gravitational waves Theoretical Foundation: Based on the Principle of Optimal Deformation—spacetime deforms to minimize informational binding cost between geometry and matter. The constant β = 1/(8π) emerges as a coherence constant ensuring consistency across all physical scales. This work positions β = 1/(8π) not merely as a gravitational parameter but as the fundamental constant of a self-optimizing universe, offering a concrete pathway toward a complete Theory of Everything. undamental constants quantum gravity holographic principle dark energy modified gravity theory of everything cosmological constant problem Hubble tension galaxy rotation curves SPARC database emergent gravity space-matter continuum β = 1/(8π) Planck scale Friedmann equations Einstein field equations https://orcid.org/0009-0006-5152-069X 10.5281/zenodo.18121429