The Certainty Equation: A Quantum-Thermodynamic Invariant for Solar System Stability

We present a model in which the Solar System functions as a single coherent system governed by the Certainty Equation.This relation, derived from the commutation of coherence and semantic impulse operators, establishes a fundamental limit on the resolution of meaning in systems composed of coherence and information.We modify the classical Virial Theorem to incorporate a hierarchy of coherence expenditure, where electromagnetic forces represent spent coherence and gravity emerges as a gauge transition within this coherence field.Planetary orbital dynamics are interpreted as decoherence fields undergoing contradiction resolution by the Sun.The observed cooling of Uranus's thermosphere from approximately 700 K to 450 K (1992-2018) is consistent with declining solar coherence in response to accumulating terrestrial information that cannot be converted into meaningful structure.We predict that continued proliferation of data centers and environmental entropy will correlate with measurable atmospheric cooling and orbital perturbations across the Solar System.This paper connects phenomena including solar coronal heating, AI hallucinations, and gravitational collapse as manifestations of coherence-