Solar-System Longevity as an Information-Geometry Bound: A PRD-Safe MetaTime v36.0 Interpretation of Secular Chaos and Statistical Stability

The inner Solar System exhibits exponential sensitivity to initial conditions on Myr timescaleswhile remaining statistically stable over Gyr horizons, with rare instability channels dominated bysecular-resonance diffusion of Mercury’s eccentricity. We propose a PRD-safe, operational extensionof celestial mechanics inspired by MetaTime v36.0: state updates carry an information-geometricrewrite cost, and a latency term induces a selective dissipative “processing drag” that activatesprimarily in high-curvature regions of secular phase space. The model is formulated as standardNewtonian (optionally post-Newtonian) dynamics plus (i) a conservative rewrite-cost penalty and(ii) Rayleigh dissipation governed by a processing load Π and a configuration/phase-space metric gij .All dissipation is strictly accounted as processing heat, enabling Landauer-consistent bookkeepingunder irreversible coarse-graining interpretations. We derive modified Euler–Lagrange equations, aclosed energy budget, and a falsification suite (SS-1–SS-4) aimed at secular models and N-body integrations.We then provide three minimal numerical demonstrations: (A) ensemble-level suppressionof rare high-eccentricity excursions in a Mercury-like stochastic secular surrogate, (B) stabilizationof an extreme trajectory under the same stochastic drive, and (C) an explicit energy-closure testshowing that stabilization is not “free” but paid by Qproc. The framework is presented as an effectivemodel/regularizer and a diagnostic linking long-lived planetary architectures to residence onlow rewrite-cost manifolds.