Hydrodynamic Vacuum Structure, the 10^9 -Meter Coherence Scale, and the Deterministic Origin of Sun–Earth–Moon Orbital Resonances
Year: 2026
Type: article
Abstract: This work establishes a rigorous hydrodynamic foundation for the long-term dynamical architecture of the Sun–Earth–Moon system. Modeling the physical vacuum as a compressible fluid condensate governed by discrete spectral geometry, the theory proves the existence of a fundamental macroscopic vacuum coherence scale of approximately one billion meters. This scale emerges directly from the ratio of microscopic filament tension to vacuum acoustic stiffness and matches the outer boundary of the terrestrial gravitational Hill sphere to within a fraction of a percent. Because the lunar orbit is deeply nested within this coherent domain while the heliocentric orbit traverses its outer boundary, the interface acts as an acoustic impedance barrier that induces subtle metric birefringence and non-Newtonian boundary potentials. During syzygy alignments, such as total solar eclipses, the intersecting acoustic shadows of the Sun and Moon generate localized metric cavitation, providing a first-principles hydrodynamic derivation for observed gravimetric anomalies and pendulum precessions (the Allais effect) without empirical mass tuning. Furthermore, analyzing the spectral topology of the modular curve of level eight hundred sixty-one reveals that its eight arithmetic cusps govern the discrete phase space of orbital intersections. Applying Dirichlet's simultaneous Diophantine approximation theorem proves that the classical Saros and Exeligmos eclipse cycles are the unique, optimal rational convergents that minimize topological phase slip on the modular torus. This demonstrates that multi-body orbital resonances and secular lunar stability are deterministic hydrodynamic limit-cycle attractors of the underlying vacuum lattice rather than accidental outcomes of chaotic celestial mechanics.
Author: Aksman, Michael
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223453842