Quantum Einstein equations
Autor: | Ward Struyve, Detlef Dürr |
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Jazyk: | angličtina |
Rok vydání: | 2020 |
Předmět: |
Physics and Astronomy (miscellaneous)
Physics Multidisciplinary Quantum potential FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) Astronomy & Astrophysics 01 natural sciences General Relativity and Quantum Cosmology Physics Particles & Fields Gravitation High Energy Physics::Theory 0103 physical sciences Einstein field equations Quantum field theory Bohmian mechanics 010306 general physics Wave function Mathematical physics Physics Quantum Physics De Broglie–Bohm theory Science & Technology 010308 nuclear & particles physics Quantum Science & Technology quantum gravity Physical Sciences ADM formalism Quantum gravity Quantum Physics (quant-ph) |
Popis: | We derive the quantum Einstein equations (which are the quantum generalisation of the Einstein equations of classical gravity) from Bohmian quantum gravity. Bohmian quantum gravity is a non-classical geometrodynamics (in the ADM formalism) which describes the time evolution of a 3-geometry and of a matter field (or other matter degrees of freedom) on a three manifold. The evolution is determined by a velocity law which is defined by the wave function. The wave function itself satisfies the Wheeler-DeWitt equation. We cast the Bohmian dynamics into the form of the Einstein field equations, where the interesting novelty is a contribution to the energy-momentum tensor that depends on the quantum potential. Comment: 17 pages, LaTeX; v2 typos corrected |
Databáze: | OpenAIRE |
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