The Governance of the Mock Theta in the Universe of Finite States: Algorithmic Dissipation and Resolution of Quantum Coherence

This paper establishes the governance of the Mock Theta functions as the definitive mechanism for managing information saturation and quantum collapse in a finite-state universe. We introduce the Hernández-Valdivia Limit (εHV) as the hardware resolution of spacetime and redefine antimatter as a logical balance operator (+1/-1). By formulating the Schrödinger-Hernández-Valdivia (SHV) equation, we resolve the "Map-Territory Confound" and provide a deterministic framework for the Yang-Mills Mass Gap and Navier-Stokes singularities. We demonstrate that the universe operates as a self-correcting finite-state machine where topological friction arrests mathematical divergences through algorithmic dissipation.