Triadic Mesh Dynamics: A Dynamical Ontology of Space and Its Physical Consequences

This work presents the first dynamical formulation of Triadic Mesh Dynamics (TMD), an ontological framework in which space is represented as an oriented network of 2-simplices (triads). Previous publications introduced the static and orientational structure of the triadic mesh and its relation to particles, fields, and quantum correlations. In this paper, a new dynamical layer is added through the introduction of a network energy functional E and a state‑evolution equation F. The symmetric part of E stabilizes composite configurations such as the proton, while a weak CP‑violating component introduces small but structured asymmetries. The dynamics F transfers this bias into the internal state variables of triads, enabling stationary solutions with residual asymmetry. Within this framework, several key physical phenomena emerge naturally: stable composite configurations (e.g., the proton) as minima of E/F, geometric relations such as the Koide relation as properties of specific layers of the mesh, Bell‑type quantum correlations as consequences of orientational and state coupling, coherence attenuation (including the characteristic 1/2 factor) as a network transition, a non‑zero neutron electric dipole moment (EDM) as a residual asymmetry of the stationary solution. The goal of this work is not to provide precise numerical predictions, but to demonstrate that TMD yields physically realistic orders of magnitude and structural features without fine‑tuning. This establishes TMD as a dynamical ontology with testable consequences and lays the foundation for subsequent papers on the proton, neutron, baryons, atomic structure, and the forthcoming TMD 2.0 framework.