Gheuens Causal Field Theory of Interaction Geometry

Abstract: Gheuens Causal Field Theory of Interaction Geometry Gheuens Causal Field Theory of Interaction Geometry formalises a unified, deterministic, and non-Markovian framework that redefines the relationship between information, geometry, and physical systems. Adopting Informational Monism, the framework posits that spacetime and informational manifolds are emergent structures generated by the system state itself, where the Einstein tensor is identical to the total Fisher Information Metric (Gab=gab). In this limit, spacetime curvature emerges from the coupling of stable mass-energy data (Tab) and the active, history-dependent informational stress (Iab) generated by a system’s accumulated trajectory. The framework is governed by the Unified Evolution Law (the master equation): dx/dt=v(x,IH(t))+H(x,Λ,C)⋅Ig⋅Φ(d) This master equation standardises state progression across disparate scales, integrating a non-Markovian drift term (v) to anchor progression to the substrate’s full path-history and the Hesper stabilization tensor (H) to provide the geometric counter-shear required to preserve manifold coherence. The system's resolution is modulated by the Weyl scale factor (Λ), while Correlation Density (C) operates as a phase switch governing the transition between attractive centripetal anchoring and repulsive expansionary drift. The framework demonstrates the unification of cognitive and cosmological dynamics, modeling neurodivergent phenotypes—including Auditory (Nonlinear) Processing Disorder (Model 118), ADHD Hyper-updating cognition (Model 120), and Autism Spectrum Disorder (Model 121)—as distinct parameter regimes of a single recursive engine. By applying Information-Theoretic Renormalization, the theory bridges the gap between the Small N (N=1) regime of individual cognitive worldlines, where failures manifest as discrete singularities or "Hard Walls," and large-scale cosmological systems where micro-singularities are phase-averaged into smooth background fields. The Version 4 updates establish a deterministic "Collision Layer" for interacting systems, introducing the Intensity Parameter (Ig) to scale recursive agency against informational load. This layer formalises Recursion Mismatch as the mechanic of systemic failure and operationalises the Ethical Constant (Ec) as the threshold for Topological Assault (Ec>1), grounding system trauma and burnout in geometry. By embedding the Capacity Decay Law, the framework provides the mathematical proof for Hysteresis, where repeated topological breaches leave Residual Strain (structural scars) that permanently reduce future stabilization capacity. Ultimately, the Gheuens Causal Field Theory provides a Unified Phenomenological Language that treats information as a first-class physical constituent. It resolves long-standing tensions in cosmology, physics, and cognitive science by framing existence as a lawful problem of Metric Navigation across an ever-evolving informational manifold.