  In this paper we propose a weaker version of Penrose's much heeded Strong
Cosmic Censorship (SCC) conjecture, asserting inextentability of maximal Cauchy
developments by manifolds with Lipschitz continuous Lorentzian metrics and
Riemann curvature bounded in $L^p$. Lipschitz continuity is the threshold
regularity for causal structures, and curvature bounds rule out infinite tidal
accelerations, arguing for physical significance of this weaker SCC conjecture.
The main result of this paper, under the assumption that no extensions exist
with higher connection regularity $W^{1,p}_\text{loc}$, proves in the
affirmative this SCC conjecture with bounded curvature for $p$ sufficiently
large, ($p>4$ with uniform bounds, $p>2$ without uniform bounds).
