Paper MDE v2.0: Executable Rewrite Dynamics and Emergent Carrier Morphology in Ontological Resolution Theory

Paper MDE v2.0 presents the current canonical executable specification of the ORT (Ontological Resolution Theory) carrier.

Part I defines the complete Register-Transfer Level (RTL) microdynamics of the Master Dynamics Equation (MDE). Each carrier node contains a 133-bit state register split into:

P_i ∈ 𝔽_2^{83}, A_i ∈ 𝔽_2^{50}.

Both sectors evolve through Boolean rewrite dynamics over an FCC carrier with coordination number k = 12 and node capacity K_cell = 133. Carrier throttling is implemented by an exact integer phase accumulator realizing Θ_i = K_cell / (K_cell + ρ_i) with no floating-point arithmetic inside the tick loop.

Part II develops the resonance layer of MDE. A local resonance functional R_i measures residual deviation from the Boolean rewrite equation. Resonant transport cavities are defined as low-stress executable regions capable of supporting persistent rewrite structures. Rest mass is interpreted as Ground State Cost.

Part III presents the current transport interpretation of weak-field gravity. The FCC Green kernel produces ρ(r) ∼ 1/r, while canonical throttling reproduces inverse-square weak-field scaling.

Part IV reports the first morphology simulations extracted directly from MDE rewrite dynamics. The simulations demonstrate stable executable vacuum, stress-dependent throttling, structure-dependent executability, spontaneous anisotropic rewrite channels, and emergent void geometry. No external geometric growth rules are imposed.

Current simulations do not yet establish stable long-lived RRL, complete particle spectrum, continuum recovery, or full Grain-derived matter formation. The present status is therefore precise: MDE already demonstrates nontrivial executable morphology generated directly from rewrite dynamics.

"Reality is not unrestricted mathematical possibility. Reality is what survives executable existence on a carrier."