Three-Energy Cosmological Framework (TECF)

This paper presents the Three-Energy Cosmological Framework (TECF), a novel theoretical framework that proposes a unified description of gravity, matter, and quantum vacuum energy. The framework is founded on three foundational postulates: Core Concept: Three primordial vectorial energy fields exist as fundamental constituents of the universe: matter energy (E_m = mc²r̂, outward), gravitational energy (E_g, inward), and quantum vacuum energy (E_v, modeled as a gravitationally polarizable medium). The central postulate is that these three energies satisfy a universal balance equation E_m + E_g + E_v = 0 at all scales. Key Achievements: - Derives Newton's law of gravitation, light deflection (1.75 arcseconds), gravitational redshift, and Mercury's perihelion precession (43″/century) - Predicts a MOND-like galactic acceleration a_v = √(a_N a_0) with a_0 = cH_0/2π = 1.05×10⁻¹⁰ m/s² derived from first principles (within 12% of empirical MOND value, no free parameters) - Explains flat galaxy rotation curves via a 1/r gravitational energy density profile without dark matter particles - Resolves black hole singularities through Planck-scale vacuum saturation, predicting a minimum radius r_min = ℓ_Pl√(M/m_Pl) - Predicts enhanced light deflection near neutron stars (54% exceeding GR) - Reproduces Bullet Cluster lensing peak positions with 2.5% accuracy - Derives a complete action principle S_v = -(a₀²/G)∫f(X)d³x dt with f(X) = X - 2√X + 2ln(1+√X) - The golden ratio φ = (1+√5)/2 appears naturally at the Newtonian-to-vacuum transition point Status: This framework is at a formative stage and represents an alternative approach to understanding gravitational phenomena without invoking dark matter particles at galactic scales. Numerical tests against 175 galaxy rotation curves (SPARC database) are presented in a companion paper. Keywords: Modified gravity, quantum vacuum, dark matter alternative, MOND, cosmology, gravitational polarization, galaxy rotation curves, black hole singularities