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

This work develops a unified pre-quantum field model describing the physical and mathematical foundations of the Big Bang. The framework introduces a pre-geometric field composed of coupled gravitational and quantum wave functions, whose self-interaction gives rise to matter, dark components, and spacetime geometry. By assuming an initial total energy E_total ≈ 10⁹⁰ J ( The PDF might show 10^90, but it's actually 10⁹⁰, just a formatting error.) and radius R ≈ 4 × 10⁻⁹ m, the model reproduces the expected Big Bang temperature T ≈ 10^33 K  (The PDF might show 10^33, but it's actually 10³³, just a formatting error.)  and the observed cosmic energy fractions (4 % baryonic matter, 23 % dark matter, 73 % dark energy). A semiclassical Lagrangian formalism links wave dynamics and emergent curvature, providing a natural bridge between general relativity and quantum mechanics. Future extensions will incorporate 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 before spacetime itself. This pre-field, expressed as CQ = Ψ(x) Φ_s(x), couples a primordial gravitational emission with a proto-quantum resonance. When the wave velocity reaches the speed of light, local collapses form probabilistic nuclei — the pre-quarks — while uncollapsed waves remain as dark energy and dark matter. The model introduces an emergent metric g_ij = [1 + λ_M M(x)] δ_ij, ensuring conservation of total energy E_total = 10^90 J and reproducing the cosmological energy balance. This first version (V1) presents the semiclassical formulation of the pre-quantum field and its correspondence with general relativity. A future version (V2) will include the quantization of the metric tensor and the integration of the quantum-vacuum formalis