Present Quantum Gravity

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Abstract

We introduce a novel non-perturbative discrete approach to quantum gravity starting from the assumption that only the present instant exists. The Present is interpreted through the lens of time-symmetric quantum mechanics and holography. It is described as an ontological memory, which evolves in atomic instants and encodes the information of non-locality and undefined causality in a fuzzy Euclidean space. In this contribution, extending previous works on the compatibility of such interpretation of time with Special Relativity, we provide further evidence for minimizing the ontological existence of the time dimension. We suggest a relation between the rest mass and an entanglement in time, and between curvature and an entanglement in the fuzzy space. We mathematically relate the Newtonian potential with this information of entanglement and derive gravitational time dilations. We conclude by suggesting a possible experiment that could provide evidence for our proposal.

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