Proof of Reality: Deterministic Validation of the Enchan Field Equation and Its Potential Connection to Dark Matter Phenomenology

This paper presents the deterministic relaxation framework implemented in the Enchan(cosmic) engine, forming the theoretical basis for patents Enchan001 and Enchan002 filed by M. Kobayashi (Japan, 2025). The publication serves as a public disclosure of the mathematical and computational formulation underlying these patents. This document establishes the deterministic relaxation equation and empirical validation forming the core computational method described in Enchan001 and Enchan002. DOI of prior theoretical framework: 10.5281/zenodo.17979665DOI of Enchan(cosmic) implementation: 10.5281/zenodo.18104955