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Dispersion of Newton’s constant: A transfer matrix formulation of quantum gravity
Phys. Rev. D 49, 930 – Published 15 January, 1994
DOI: https://doi.org/10.1103/PhysRevD.49.930
Abstract
A transfer matrix formalism applicable to certain reparametrization-invariant theories, including quantum gravity, is proposed. In this formulation it is found that every stationary state in quantum gravity satisfies a Wheeler-DeWitt equation, but each with a different value of the Planck mass; the value turns out to be proportional to the eigenvalue of the evolution operator. As a consequence, the fact that the Universe is nonstationary implies that it is not in an eigenstate of Newton’s constant.
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