Emergent Quantum Dynamics from Frequency-Domain Cosmology: A Perturbative Field Theory Framework

I develop a quantized, frequency-domain cosmological model based on the primary field Φ(k) in momentum space. The free theory yields linear harmonic modes with well-defined dispersion ω(k), leading to an emergent low-energy Ef- fective Field Theory (EFT). Weak nonlinear self-interactions (λ|Φ|4) are treated perturbatively, resulting in well-defined 2 →2 scattering processes and weak quan- tum mode-mixing consistent with energy–momentum conservation. Quantization produces a standard Fock space structure of particle excitations above a stable vacuum. This frequency-domain construction provides a coherent quantum field theoretic description of cosmological fields under stationary backgrounds.

Author: Faruk Alpay

ORCID: 0009-0009-2207-6528