Quantum Foundations of the Big Bang: A Unified Pre-Quantum Field Model

This work develops a unified pre-quantum field framework describing the physical and mathematical foundations of the Big Bang within a pre-geometric regime. The model introduces a massless, metric-free oscillatory field composed of coupled gravitational and quantum wave functions, whose self-interaction leads to the emergence of matter, dark components, and spacetime geometry. Assuming a finite pre-field total energy E_total ≈ 10^90 joules and an initial characteristic radius R ≈ 4 × 10^−9 meters, the framework naturally recovers a Big Bang temperature of order T ≈ 10^33 kelvin and yields cosmological energy fractions consistent with observations (approximately 4 percent baryonic matter, 23 percent dark matter, and 73 percent dark energy). A semiclassical Lagrangian formulation links wave dynamics to emergent curvature, providing a consistent bridge between general relativity and quantum mechanics. Future developments will address explicit metric quantization and quantum–vacuum coupling. The Unified Pre-Quantum Field Model proposes that the Big Bang originated from a self-consistent oscillatory field existing prior to spacetime, mass, and classical energy definitions. This pre-field is expressed as CQ = Psi(x) times Phi_s(x), coupling a primordial gravitational emission to a proto-quantum resonance. When wave propagation reaches the invariant speed c, localized probabilistic collapses arise, forming discrete nuclei referred to as pre-quarks. Non-collapsed wave modes persist as residual degrees of freedom associated with dark energy and dark matter. The model introduces an emergent spatial metric of the form g_ij(x) = [1 + lambda_M times M(x)] times delta_ij, linking pre-field density to spacetime geometry. The total pre-field energy remains finite and constant across the transition into the Big Bang regime, ensuring a consistent global energy budget of approximately 10^90 joules. This mechanism reproduces the observed cosmological energy balance without invoking additional exotic fields.