Strong-Field Tensorial Accessibility and Exponential Exterior Gravity: A Constitutive Completion Beyond the PPN Sector

Arc V — Gravity & Quantum Theory Paper 3 Title Strong-Field Tensorial Accessibility and the Exact Schwarzschild Geometry Zenodo DOI 10.5281/zenodo.18225954 Description This paper extends the finite-accessibility gravity framework beyond the post-Newtonian regime to the exact strong-field Schwarzschild exterior. Taking the tensorial accessibility structure established in Paper V.2 as given, it derives the full Schwarzschild metric as an exact solution arising from accessibility modulation rather than assumed geometric dynamics. The analysis enforces exact conservation of accessible information flux and multiplicative composition of accessibility depletion across radial shells. These operational principles uniquely fix the functional form of the temporal and radial accessibility factors in the exterior region. The resulting effective metric reproduces the Schwarzschild geometry exactly, including horizon formation, without invoking Einstein’s equations as a dynamical postulate. The paper demonstrates that the event horizon corresponds to total collapse of temporal accessibility, reframing horizons as operational limits of record construction rather than causal singularities. This establishes strong-field gravity as a consequence of finite-accessibility constraints rather than geometric axioms. Keywords strong-field gravity; Schwarzschild solution; event horizons; emergent geometry; accessibility collapse; operational spacetime Notes Arc V — Gravity & Quantum Theory (constitutive, strong-field) Exact Schwarzschild exterior recovered without field equations Horizons interpreted as accessibility collapse Sets the stage for inverse-constraint analysis and stability tests