CF Theory Math Foundation

This monograph establishes the mathematical foundations of the Cosmic Flux (CF) Theory. Building on six previous publications, it consolidates the framework into a coherent and testable structure. Spacetime is modeled as a Universal Medium (UM), with gravitation, quantum phenomena, and cosmological dynamics emerging as effective properties. General Relativity (GR) is recovered as the macroscopic limit. The work develops the CF theory systematically: definition of fundamental variables, equations of state with nonlinear stiffening and gradient corrections, covariant dynamics with causal dissipation, and wave propagation in Minkowski and FRW backgrounds. It demonstrates the regularization of singularities into finite-density cores and capped cosmological densities, provides a scalar–tensor embedding, and ensures consistency with stability, causality, and post-Newtonian constraints. Explicit Go/No-Go criteria are formulated, ensuring falsifiability. Predictions include flat galaxy rotation curves without particulate dark matter, finite vacuum energy matching the observed dark-energy density, and a narrowband scalar resonance in the nanohertz band consistent with pulsar-timing array observations.