Four Dimensional Spherical Space-Times and String Theory

TL;DR

This paper proposes that string theory should fundamentally describe four-dimensional symmetric space-times, analyzing the two-dimensional equivalent action and its conformal invariance in the pressureless regime, with connections to black hole quantization.

Contribution

It introduces a new perspective that string theory underpins four-dimensional space-times and explores the properties of the associated two-dimensional action, linking to black hole studies.

Findings

Two-dimensional equivalent action is conformal invariant in pressureless regime

Connections established between string theory, black hole quantization, and 2D black hole solutions

Proposes a conceptual framework to address shortcomings in string theory understanding

Abstract

Some shortcomings in regard to our lack of conceptual understanding of string theory are displayed and prescription to untangle them is proposed. String theory should be a fundamental dynamics of four dimensional symmetric space-times. Properties of the two dimensional equivalent action are studied, in the hydrodynamic approximation. In the pressureless regime it is conformal invariant. Correlation of our proposal to 't Hooft work on quantization of black holes[7] and work on 2D black hole solutions established by Witten [14] are pointed out as perspectives of the present work.