Desingularization of Black Hole Space-Times

9.38$

Desingularization of Black Hole Space-Times

Simon Davis

Bulletin of Pure and Applied Science

Physics, Vol.42D No.1,

January-June 2023 P.6-34

DOI: 10.48165/bpas.2023.42D.1.2

Original Research Article
Description

Description

Desingularization of Black Hole Space-Times

Simon Davis

Author’s Affiliations: Research Foundation of Southern California 8861 Villa La Jolla Drive #13595 La Jolla, CA 92039, USA
*Corresponding author: Simon Davis

Research Foundation of Southern California 8861 Villa La Jolla Drive #13595 La Jolla, CA 92039, USA

E-mail:  sbvdavis@outlook.com

Abstract
ABSTRACT The desingularization of a class of black hole space-times arising as solutions to the string equations is considered in connection with the consistency of the quantum theory and the description of nonperturbative states with quantum numbers from the particle spectrum. The geometry arising in an extreme limit of one of the singular solutions to the gravitational field equations is demonstrated to be a background of N = 2 string theory. The positivity of the masses in the particle spectrum is proven through quasilocal integrals near the resolved singularities in these limits of black hole space-times.  
KEYWORDS Desingularization, Algebraic Singularities, Higher Dimensions, Quantum Consistency PACS: 02.40.Xx, 04.20.Dw, 04.60.Cf