The Problem of Time in Canonical Quantum Gravity: A Model Study

Mahendra Joshi

doi:10.30574/ijsra.2025.17.3.3286

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The Problem of Time in Canonical Quantum Gravity: A Model Study

Mahendra Joshi ^*

Department of Physics, Radhey Hari Government Post Graduate College, Kashipur.

Short Communication

International Journal of Science and Research Archive, 2025, 17(03), 807-809

Article DOI: 10.30574/ijsra.2025.17.3.3286

DOI url: https://doi.org/10.30574/ijsra.2025.17.3.3286

Publication history

Received 11 November 2025; revised on 20 December 2025; accepted on 22 December 2025

Abstract

The incorporation of quantum mechanics with general relativity has remained one of the greatest challenges in theoretical physics, fundamentally manifest in the problem of time. This problem appears primarily in the canonical quantization of general relativity. For example, in Wheeler-DeWitt equation the resulting dynamics are invariant under time reparameterizations which leads to a static, time-independent description of the universe. In this paper we briefly outline the origin of the problem of time and then discuss the 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. The Problem of Time in Canonical Quantum Gravity: A Model Study. International Journal of Science and Research Archive, 2025, 17(03), 807-809. Article DOI: https://doi.org/10.30574/ijsra.2025.17.3.3286.

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