The Death of Orbital Chaos: A Mathematical Resolution to the N-Body Problem and Jupiter's Momentum Paradox (Part 2)

The assumption of an empty, non-interacting geometric vacuum has led classical celestial mechanics into insurmountable dead ends—most notably the chaotic instability of the N-Body problem and the extreme angular momentum misdistribution within the Solar System. This paper, Part 2 of the "Gallyamov Celestial Mechanics" series, completely resolves these paradoxes by modeling the physical vacuum as a macroscopic Superfluid Spinor Bose-Einstein Condensate (SBEC). 

Key findings in this paper:

• The Death of Orbital Chaos: By applying the invariant limits of the quantum fluid, we mathematically prohibit N-Body orbital chaos. The Gallyamov Negative Exponent (Topological Lyapunov Limit) proves that the maximum Lyapunov exponent is strictly negative, ensuring absolute and eternal system stability without relying on fragile perturbation models.

• Jupiter's Momentum Paradox Resolved: Classical astrophysics struggles to explain why the Sun contains 99.8% of the system's mass but only ~4% of its angular momentum. We prove this is a strict thermodynamic necessity of macroscopic topological eversion. Using the Gallyamov Fractal Core Retention Fraction, we demonstrate that the solar core can mathematically retain exactly \Phi^{-7} (\approx 3.44\%) of the momentum, deterministically transferring the remaining \approx 96.56\% to the outer resonant node (Jupiter).

This framework eliminates the need for arbitrary accretion disk friction models, replacing them with quantized thermodynamic laws of the superfluid vacuum.

Part 1: The End of Orbital Anomalies: A Mathematical Resolution to the Titius-Bode Paradox and Mercury's Precession (Part 1). DOI: 10.5281/zenodo.19336866