Dark Matter (DM)

Abstract

This document presents the Dark Matter (DM) component of the Monistic Continuum Model (MCM), a unified geometric framework in which all physical phenomena arise from excitations, stress fields, and spectral structures of a single continuum field C. The aim of this work is to provide a mathematically rigorous and physically consistent reinterpretation of dark matter as residual geometric stress generated by transient vortex modes Wn, rather than as a particulate or field‑based entity. The DM theory developed here integrates: the continuum field C:M×Λ→V, local and nonlocal operators Dloc,Dnl, vortex population dynamics and dissolution rates, the residual stress operator σres, the DM spectral operator DDM, and the effective stress–energy tensor TμνDM. Together, these structures yield a monistic, continuum‑geometric interpretation of dark matter that is compatible with general relativity, provides clear observational signatures, and offers falsifiable predictions for gravitational lensing, halo morphology, background radiation anomalies, and spectral gaps. This reference version is intended for citation in scientific literature, archival repositories, and future extensions of the MCM series. It represents the consolidated and formally harmonized DM theory as Version V01 of the MCM framework.