Sub-Per-Cent Precision Orbit Calibration and Schwarzschild Metric Corrections Around Sagittarius A* Under the Screened Dewhirst Operator

Abstract

This monograph applies the mathematically continuous scalar-tensor formulation of the Dewhirst Horizon Relation to analyze the orbital kinematics and relativistic corrections of test stars orbiting Sagittarius A* (Sgr A*) at the center of the Milky Way. Mainstream Schwarzschild metric calculations achieve sub-per-cent mass precision but require an infinite-density point singularity, introducing severe mathematical divergences. By applying the density-dependent screening loop of the Dewhirst operator, this paper demonstrates that the hyper-dense baryonic environment (rho -> high) of the galactic center forces the effective mass of the scalar field to infinity. This completely screens out field interactions, smoothly driving phi -> 0. Operating strictly within this continuous limit, the framework natively recovers classical Einsteinian relativity (E=mc²) inside the central core. This seamless transition accounts for all measured dominant relativistic corrections—including gravitational redshift, the transverse Doppler effect, and prograde Schwarzschild precession—with sub-per-cent precision, while physically tracking the central mass as a stable, non-singular Planck Star core configuration. This file forms Document 30 of the ongoing independent physics library.