mathematical-physics

For every non-degenerate rotating Kerr-Newman-de Sitter (KNdS) black hole — any configuration whose radial polynomial $\Delta_r$ admits four simple real roots $r_n < 0 < r_- < r_+ < r_c$ — we prove analytically that the outer-horizon surface gravity

Penrose's strong cosmic censorship conjecture (SCC) asserts that the maximal Cauchy development of generic initial data for Einstein's equations is inextendible. Unlike weak cosmic censorship (WCC), which asks whether horizons form, SCC asks whether singularities are "strong enough" to prevent extension past the Cauchy horizon.

We identify a structural isomorphism connecting seven apparently unrelated threshold phenomena in mathematical physics: the Beale-Kato-Majda blowup criterion for 3D Navier-Stokes, the Gödel CTC condition in general relativity, the Kerr extremality bo

Penrose's weak cosmic censorship conjecture (WCC) — that gravitational collapse from generic initial data cannot produce naked singularities visible to distant observers — remains one of the central open problems in general relativity.