REPARAMETRIZATION INVARIANCE AND ITS IMPLICATIONS FOR PROBLEM OF TIME

Mahendra Joshi

doi:10.30574/ijsra.2026.21.1.1847

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REPARAMETRIZATION INVARIANCE AND ITS IMPLICATIONS FOR PROBLEM OF TIME

Mahendra Joshi ^*

Department of Physics, Dr. Shivanand Nautiyal Government Post Graduate College, Karanprayag, Uttarakhand, India.
* Corresponding Author

Research Article

International Journal of Science and Research Archive, 2026, 21(01), 001–003

Article DOI: 10.30574/ijsra.2026.21.1.1847

DOI url: https://doi.org/10.30574/ijsra.2026.21.1.1847

Publication history

Received on 15 August 2026; revised on 30 September 2026; accepted on 02 October 2026

Abstract

Merging quantum mechanics with general relativity remains one of the central challenges in theoretical physics, primarily manifesting as the “problem of time”. In the canonical quantization approach, general relativity yields the Wheeler-DeWitt equation, where the resulting dynamics exhibit invariance under time reparametrizations, leading to a static, time-independent description of the universe. In this paper we briefly outline the origin of the problem of time and subsequently analyze a deparametrization scheme for a system whose motion is non-linear and coupled between two variables.

Keywords

General Relativity; Quantum Gravity; Problem of Time; Deparametrization

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How to cite this article

Mahendra Joshi. REPARAMETRIZATION INVARIANCE AND ITS IMPLICATIONS FOR PROBLEM OF TIME. International Journal of Science and Research Archive, 2026, 21(01), 001–003. Article DOI: https://doi.org/10.30574/ijsra.2026.21.1.1847.

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