Time in quantum gravity by weakening the Hamiltonian constraint

2003/12/11 by Hrvoje Nikolić, H. Nikolic, Nikolic, H. · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #gr-qc #hep-th #quant-ph

paper · pdf · doi:10.48550/arxiv.gr-qc/0312063

4 pages

arxiv created 2003/12/11 · openalex publication_date 2003/12/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We replace the usual Hamiltonian constraint of quantum gravity H|psi>=0 by a weaker one =0. This allows |psi> to satisfy the time-dependent functional Schrodinger equation. In general, only the phase of the wave function appears to be time independent. The resulting quantum theory has the correct classical limit and thus provides a viable theory of quantum gravity that solves the problem of time without introducing additional nongravitational degrees of freedom.

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• Analogue gravity

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