Time in quantum gravity by weakening the Hamiltonian constraint

H. Nikolic

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arXiv · gr-qc/0312063

Time in quantum gravity by weakening the Hamiltonian constraint

H. Nikolic

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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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H. Nikolic. 2003-12-11. Time in quantum gravity by weakening the Hamiltonian constraint. https://arxiv.org/abs/gr-qc/0312063

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