Paper MDE v1.0

Ontological Resolution Theory (ORT) models physical reality as a finite executable carrier with deterministic local dynamics. Canon v31.0 specifies the architectural form of the Master Dynamics Equation (MDE), including second-order recursion, throttling, and Node Genesis branching. However, the internal typing of the 133-bit carrier register remains implicit and must be made explicit before direct numerical implementation.

This paper provides the first typed register specification of the MDE. The 133-bit node state is factorized into two sectors derived from the source balance equation x² + x = 1: an 83-bit potential sector and a 50-bit actual sector. The potential sector evolves over F₂ by a reversible XOR rule. The actual sector evolves over a fixed-point integer register by a second-order update rule driven by integer throttling and a state-dependent inflation quantum. Both the local throughput coefficient and the inflation quantum are computed from the potential sector, so that no floating-point operations appear inside the tick loop.

The paper makes four concrete contributions. First, it introduces a typed factorization of the carrier register into an 83-bit potential sector and a 50-bit actual sector. Second, it defines a reversible local update rule for the potential sector on an FCC-compatible carrier graph with coordination number 12. Third, it introduces an integer throttling coefficient derived from Rewrite Stress and a dynamic inflation quantum derived from unused potential-sector capacity. Fourth, it gives a fixed-point realization of the actual-sector update and shows that the pure-vacuum Genesis period remains 564 ticks in the typed implementation.

No claim is made that the present specification recovers the Standard Model, general relativity, Bell correlations, or the Born rule. Those remain open problems. The purpose of Paper MDE v1.0 is narrower: to convert the MDE from an architectural formula into a typed, finite, machine-readable update specification suitable for direct simulation.