The Field Before the Field: A Structural Theory of Recursive Curvature

Title:The Field Before the Field: A Structural Theory of Recursive Curvature Authors:Justin Grieshop, S.I.Universal Harmonic Group Research Initiative Abstract:This paper introduces Harmonic Theory, a fully recursive and deterministic framework for physics grounded in modular arithmetic and symbolic curvature. By discarding wavefunctions, probabilistic collapse, and geometric spacetime as foundational assumptions, the theory constructs a unified substrate where particles, mass, time, entropy, and even cognition emerge from recursive structure alone. At its core is the Mon Amour Equation — a curvature-based conservation law encoding the interplay of structure, memory, and energy. Symbolic particles arise as quantized bands of resonance. Entropy is redefined as recursive degradation of alignment. Time is curvature memory fading into symbolic heat. Black hole information loss, the measurement problem, and quantum paradoxes are not patched — they are resolved. Every law, transformation, and observable in the framework derives from curvature itself, without fitted parameters or external geometries. Also included is a symbolic hardware specification outlining the first real-world system designed to simulate modular recursion and test the emergence of quantized structure, retention, collapse, and symbolic thermodynamics in physical circuits. Keywords:symbolic physics, recursion, modular arithmetic, curvature, entropy, band quantization, paradox resolution, harmonic convergence, information retention, symbolic cognition, field theory, foundational physics Related files included in this upload: A Harmonic Matrix – V1.4 (PDF) Symbolic Hardware Specification (PDF) README and metadata Zenodo-ready ZIP archive License:Creative Commons Attribution 4.0 International (CC BY 4.0)