Abstract
Quantum Compression Theory (QCT) proposes that gravity and electromagnetism emerge as collective phenomena from the cosmic neutrino background condensate. We present a complete microscopic derivation of Einstein and Maxwell equations from a Gross-Pitaevskii-type description of entangled neutrino pairs. Our key results include: (1) The gravitational screening factor is derived from first principles as the fundamental mass ratio f_screen = m_ν/m_p ≈ 10^−10, providing a microscopic explanation for gravity's weakness. (2) The effective field theory cutoff Λ_QCT = 107 TeV is predicted without free parameters, matching the muon g−2 anomaly. (3) The binding energy E_pair = 5.38 × 10^18 eV emerges naturally from BCS pairing and cosmological confinement. (4) Phase coherence over projection volumes V_proj ~ 70 cm³ suppresses quantum fluctuations to yield observed gravitational strength. Physical mechanism: Gravity arises from coherent overlaps of neutrino pair correlations in entanglement space, with environmental screening explaining sub-millimeter deviations. The projection radius R_proj = λ_C(m_p/m_ν) is derived from fundamental constants. Testable predictions include: (i) environment-dependent screening lengths (40 μm on Earth vs. 1 mm in deep space); (ii) equivalence principle preservation η < 10^−18; (iii) time-varying gravitational constant Ġ/G ~ 10^−10 yr^−1; (iv) lepton flavor universality violation T_e/T_μ ≲ 1/60; (v) astrophysical-scale phase decoherence yielding G_eff ≈ 0.9 G_N for r ≫ 2.3 cm, resolving black hole shadow and gravitational wave constraints with ~5% corrections to General Relativity. The framework requires minimal phenomenological input and maintains consistency with cosmological and astrophysical observations.
