The Moving Lights: Solar–Lunar Height Variation, Angular Synchronization, Finite-Domain Eclipse Geometry, Calendar Closure, and the 273 K Structural Threshold

Abstract

Nine independent astronomical observables are derived from torus knot topology on S³ with zero free parameters: the tropical year (0.0002%), four lunar months (worst 0.013%), both angular diameters (0.02% after medium dressing), the solar circuit angle (0.048%), and the lunar orbital inclination (0.043%). The baseline refractive index of the transmission medium is identified as n₀ = 1 + Γ = 1 + 4/3549, resolving the systematic angular residual. Eclipse geometry is derived from finite-domain aperture overlap, and the totality condition is closed by the topological mass parameter M = dP/d = 8/3. The altitude law is shown to be mathematically identical to the standard astronomical prediction, with the circuit angle ε = arctan(13/30) replacing the measured obliquity as a derived quantity. Mean deviation across all nine observables: 0.018%. Maximum deviation: 0.048%. Free parameters fitted to astronomical data: zero.