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 timescales
while remaining statistically stable over Gyr horizons, with rare instability channels dominated by
secular-resonance diffusion of Mercury’s eccentricity. We propose a PRD-safe, operational extension
of celestial mechanics inspired by MetaTime v36.0: state updates carry an information-geometric
rewrite cost, and a latency term induces a selective dissipative “processing drag” that activates
primarily in high-curvature regions of secular phase space. The model is formulated as standard
Newtonian (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 bookkeeping
under irreversible coarse-graining interpretations. We derive modified Euler–Lagrange equations, a
closed 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 suppression
of rare high-eccentricity excursions in a Mercury-like stochastic secular surrogate, (B) stabilization
of an extreme trajectory under the same stochastic drive, and (C) an explicit energy-closure test
showing that stabilization is not “free” but paid by Qproc. The framework is presented as an effective
model/regularizer and a diagnostic linking long-lived planetary architectures to residence on
low rewrite-cost manifolds.