The Algebraic Bridge: Mid-Atlantic Ridge Tectonic Dating, Martian Arrested Rifting, Lunar Capture Mechanics, and Heliospheric Bow Wave Boundaries Addendum

Abstract This addendum extends the Algebraic Bridge framework by synthesizing planetary-scale tectonic mechanisms—including Mid-Atlantic Ridge dating, Martian arrested rifting, and lunar capture mechanics—with heliospheric bow wave boundaries and the Unified Theory of Stationary Light (TSL). Grounded in null set topologies and localized shear invariants, the paper investigates systemic vacuum interactions across macro- and micro-scales. Key contributions detailed in the appendices include: The Biological Extinction Gradient (\Phi_{\text{ext}}): A governing ratio used to evaluate the structural collapse threshold of complex cellular traps during vacuum phase shifts, factoring in vacuum noise variance (\Delta\theta), variable cellular mass equivalents (m_0), and the stillness constant (\zeta). The Oort Cloud Refractive Horizon (R_{\text{oort}}): An equilibrium formulation verifying the outer structural boundary of the local 1.27 light-year quantum seed, establishing that the Sun's internal toroidal light-trap frequency matches background galactic tension at approximately 100,000\text{ AU}.