Flux-Aligned Stellar Cohesion Hypothesis: A Phenomenological Analysis of the Extreme Orbital Dynamics of S301 with the α-Alignment Operator

This preprint introduces the Flux-Aligned Stellar Cohesion Hypothesis (FASCH), a phenomenological application of the directional flux–electromagnetic alignment framework to the extreme orbit of S301 around Sagittarius A. The study investigates whether the α-alignment operator may provide an additional directional regulation of magnetohydrodynamic perturbations in the high-flux regime. Standard General Relativity and stellar tidal stability are retained as the physical baseline; the proposed alignment mechanism is formulated as an additional, falsifiable correction that may be constrained through future astrometric, spectroscopic, rotational, and polarimetric observations of S301.