Specular Field Theory: Conceptual Framework and Weak-Field Predictions

The Specular Field Theory (SFT) introduces a minimal geometric extension in which time is endowed with an independent informational geometry, sourced by a scalar coherence field. Within this framework, informational behaviour is not imposed through system-specific dynamical assumptions, but emerges as a consequence of temporal curvature. The theory identifies two complementary dynamical regimes: a weak-field limit, characterized by linear-response behaviour with a structure formally analogous to fidelity decay under small perturbations, and a strong-field limit, marking the approach to an operational boundary of the temporal geometry. In the weak-field regime, the SFT yields a falsifiable, parameter-free prediction for the ratio of scrambling exponents between two circuit configurations, which can be tested on current quantum hardware with minimal resources. The strong-field regime remains an open direction for collaborative investigation. This document establishes the author's priority and paternity over the foundational concepts and structural framework of the SFT, while reserving certain mathematical formulations for collaborative development. It is intended as a conceptual foundation for future research partnerships in the areas of informational dynamics, temporal geometry, and quantum scrambling.