TORUS Theory: Foundations of Structured Recursion and Unified Physics

Abstract

We present the foundational theoretical framework of TORUS Theory (Topologically Organized Recursion of Universal Systems), a unified model of fundamental physics based on a discrete, 14-phase structured recursion (0D–13D). This manuscript details the derivation of physical laws and fundamental constants from a self-consistent recursive action, proposing that the universe operates as a closed, self-referential topological loop. We define the harmonic relationships between quantum, thermodynamic, and cosmological scales, offering a geometric resolution to the hierarchy problem, dark sector phenomena, and the unification of forces. Note on Theoretical Evolution: This monograph establishes the core axiomatic architecture of TORUS. Subsequent and ongoing empirical validation campaigns—specifically TORUS Ladder Dynamics (I–XIV), Phase A validations testing and the Trust Framework for Computational Physics—have empirically corroborated the predicted structural invariants while necessitating refinements to the topological closure mechanism (e.g., the Controller Dimension) which extend beyond the baseline definitions presented in this text.

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