ARTICLE | doi:10.20944/preprints202205.0327.v1
Subject: Physical Sciences, General & Theoretical Physics Keywords: Wave-black hole duality; nonmetricity; corrections to gravitational potential; minimum gravitational potential; geometry of implicit line elements; corrected Schwarzschild metric; energy-momentum tensor of spacetime; wavefunction of a black hole; Hamiltonian dynamics of a manifold; tensor Poisson bracket
Online: 24 May 2022 (09:30:41 CEST)
There is no formal difference between particles and black holes. This formal similarity lies in the intersection of gravity and quantum theory; quantum gravity. Motivated by this similarity, `wave-black hole duality' is proposed, which requires having a proper energy-momentum tensor of spacetime itself. Such a tensor is then found as a consequence of `principle of minimum gravitational potential'; a principle that corrects the Schwarzschild metric and predicts extra periods in orbits of the planets. In search of the equation that governs changes of observables of spacetime, a novel Hamiltonian dynamics of a Pseudo-Riemannian manifold based on a vector Hamiltonian is adumbrated. The new Hamiltonian dynamics is then seen to be characterized by a new `tensor bracket' which enables one to finally find the analogue of Heisenberg equation for a `tensor observable' of spacetime.