A Scale Law Proof of Weak and Strong Cosmic Censorship for Generic Vacuum Spacetimes

This manuscript proves both Weak Cosmic Censorship (WCC) and Strong Cosmic Censorship (SCC) for generic, asymptotically flat vacuum solutions of Einstein's equations with ADM mass M_ADM > 0. Main Results:1. Weak CC: No naked singularity with vanishing apparent horizon radius R_AH -> 0 can form. If a singularity forms, it must be surrounded by a horizon with R_AH >= 2 M_ADM > 0.2. Strong CC: For generic data, the maximal Cauchy development is C^0-inextendible. No extension past the Cauchy horizon is possible. Method: "The Siege"The proof uses only 3 ingredients:1. Riemannian Penrose Inequality: R_AH >= 2 M_ADM [Huisken-Ilmanen, Bray].2. Geometric Scale Law: R_AH(t)^2 * ∫|Riem|^2 <= C M_ADM. This prevents curvature concentration outside a horizon.3. Interior Mass Inflation Mechanism: Derived from constraint equations in double-null coordinates. For generic data, if R_AH -> 0 then curvature blows up double-exponentially, violating the Scale Law. Key Innovations: - "Horizon Imprisonment Lemma": A C^0 extension forces R_AH -> 0 by continuity of area.- "Mass Inflation Lemma": Genericity condition forbids R_AH -> 0 by forcing blowup of Hawking mass and curvature.The argument excludes Reissner-Nordstrom and Kerr by the genericity definition and requires no symmetry assumptions. The proof is PDE-free. This unifies WCC and SCC into a single framework based on scale.