English

Wheeler-DeWitt equation in Null-foliated spacetimes

General Relativity and Quantum Cosmology 2020-05-04 v4 High Energy Physics - Theory

Abstract

In this paper, the Wheeler-DeWitt (WDW) equation is derived in null-foliated 4D spacetimes. WDW equation written in null-foliated spacetime presents an enormous simplification compared to the spacelike-foliated spacetime as the null-foliations are 2D. These can be solved exactly and uniquely to give the vertex operators of non-critical strings as a solution. A correspondence is established between null surfaces in 4D to string worldsheet geometry. Attempts are made to derive the physical consequences of this correspondence.

Keywords

Cite

@article{arxiv.1912.13038,
  title  = {Wheeler-DeWitt equation in Null-foliated spacetimes},
  author = {Abhishek Mehta},
  journal= {arXiv preprint arXiv:1912.13038},
  year   = {2020}
}

Comments

15 pages, A complete revision of arguments in v4

R2 v1 2026-06-23T12:59:11.241Z