The 1.0857 Geometric Anchor in Proximal Systems: Resolving the Mass-Inclination of Proxima b and the Vanishing Orbital Phase of Alpha Centauri A-S1

LEGAL NOTICE: Patent Pending. This work is an integral component of the logic filed under U.S. Provisional Patent Application #63/990,933 (Filed Feb 25, 2026). Title: Spacecraft Hull Design and Universal Scaling Constant 1.0857.

Observational anomalies in the Alpha Centauri triple star system—specifically the fluctuating mass estimates of Proxima Centauri b and the "disappearance" of the Saturn-mass candidate S1 in 2025—suggest a fundamental mismatch between linear gravity models and causal reality. This paper applies the 1.0857 scaling constant (The 1.085 Frame) to synchronize these proximal metrics. We demonstrate that the shift from the 2016 mass estimate of 1.27M⊕ to the 2020/2024 ESPRESSO minimum of ∼1.17M⊕ is a predictable result of metric synchronization. Furthermore, we provide a corrected visibility window for the "vanishing" planet S1, identifying the synchronization lag that caused its non-detection in February and April 2025.