A Mathematical Field Theory of Mediated Reality Under Nonlinear Temporal Distortion and Structural Phase Boundaries

This paper introduces a formal mathematical framework—the PTS-RUS model—defining manifestation, alignment, delay, and localized coherence as coupled variables over a non-standard hybrid field manifold M = (T, X, Σ, Λ). Rather than presupposing a neutral physical spacetime, the model represents structural deformation within a field medium experiencing systemic lag, historical hysteresis, and boundary-layer flux saturation. It defines five primitive interacting fields—Alignment (A), Distortion (D), Mediation (M), Disclosure (Δ), and Habitation (H)—and sets out non-linear update laws governing their evolution. A physical proxy layer is then mapped through geospace electrodynamics, where Faraday induction, spherical harmonics, geomagnetic boundary effects, and extreme storm cases such as the 1859 Carrington Event function as macro-scale readouts for field compression, mediation overload, and structural rupture. The framework is presented as a formal-symbolic systems model and not as an empirically calibrated physical law.⁠