The Asymmetric Temporal Wave (ONA) Theory: The Mathematical Formalization of Unification

The mathematical formalization presented in this working paper transitions the Asymmetric Temporal Wave (ONA) Theory from a conceptual ontology into a rigorous, deterministic cosmological framework. By redefining space as an active, computational matrix and invariant mass as localized Informational Friction (-σ), we establish a unified thermodynamic grammar. This syntax elegantly reconciles the discrete mechanics of quantum fields with the continuous macroscopic curvature of General Relativity. Crucially, it strictly prohibits classical mathematical singularities by introducing a finite computational boundary—the Planck Limit—enforced by a deterministic failsafe mechanism (the Saturative Governor). Through this framework, the temporal component of the metric tensor does not collapse to absolute zero at the Event Horizon, but rather to the minimal computational resolution of the matrix (ϵ). This phase transition forcefully suspends kinetic temporal progression, systematically flattening the three-dimensional sub-wave complexity onto a two-dimensional phase-boundary, thereby providing a rigorous, finite ontology for the Bekenstein-Hawking entropy formula. Ultimately, this mathematical formalization is not a final destination, but the structural anchor for a broader, ongoing scientific journey. Future Working Papers will build directly upon this foundation, propelling the ONA framework into increasingly challenging and profound domains. By continuously expanding this unified vision—from the algorithmic nature of complex biological evolution to macroscopic topological habitability—this theory commits to remaining a living, evolving, and future-oriented paradigm.