A System and Method for Geometrodynamic State-Mapping of Physical Matter via Fractal Resonant Analysis and Classification Technology (FRACTech)

Abstract This document discloses a novel system and method for the analysis and classification of physical matter, hereinafter referred to as Fractal Resonant Analysis and Classification Technology (FRACTech). The invention comprises a signal acquisition sub-system, a data processing engine, and a user interface. The core inventive step resides in a method that maps a raw, potentially noisy, signal from a physical object (e.g., a spectral signature) to a unique state vector on a proprietary, axiomatically-derived, 11-dimensional geometric manifold, designated . The geometry of this manifold acts as a powerful computational prior, enabling the robust interpretation of complex signals. The output of this method is a novel data object, the Geometrodynamic Signature (GS), which represents the object's holistic state, including its composition, structure, and potential interaction dynamics. A primary embodiment of the invention is presented in the field of personalized nutrition, where the system analyzes food items to provide real-time, actionable guidance to a user, thereby closing the perception-action loop for optimal biological self-regulation.