Field-Universe Cosmological Model: A Complete Chain from Axioms to Observations

Abstract

The Field Theory System (energy-field universe) derives, from four axioms (E primary -> boundary = grad-E residence -> force ratio R' -> fluctuation capacity C) combined with the hypothesis 'matter = gaps in the energy field', a quantitative derivation chain for core cosmological observations: (1) gravitational constant G = omega^2/(8*pi*rho) via the secondary Bjerknes force of oscillating cavities, coefficient 8*pi = 4*pi (3D solid angle) x 2 (time average) strictly derived, aligned with observed matter density (7.5% deviation); (2) dark matter / deep-MOND: a0 = GM_m/R_H^2 = cH0/6 (surface gravity of the total cosmic matter mass); multiplicative coupling kappa_eff^2 = kappa*omega0 derives a_eff = sqrt(a0*a_N), hence v^4 = GMa0 (Tully-Fisher, exponent exactly 4.0); (3) redshift: phonon redshift E ~ 1/a in adiabatic expansion, full (1+z) effects without spatial expansion, dissipation component <= 10%; (4) dimension: five independent chains to 3D; (5) black holes: process pole, time asymmetry 5.45e58 direction from FDNE limit-cycle asymmetric breathing, magnitude from endpoint physics; T_H = CMB crossing at lunar mass; (6) unified deviation: five independent derivations sharing one anchor deviation (Omega_m = 1/3 vs 0.31). Prediction list and unsolved anchors honestly marked.