eFTC-240901
Lagrangian and Hamiltonian Formulations of Classical and Quantum Real Gravity |
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Author: Y. Leblanc (eFieldTheory.COM) Email: AbstractThe Lagrangian formulation of Real Gravitational Fields in Einstein General Relativity (EGR) distinguishes the real spacetime curving gravitational force from coordinate-dependent inertial forces. We find here the corresponding Hamiltonian formulation establishing the exact canonical theory of classical gravitational fields. The quantum theory is straightforwardly developed by making use of the usual correspondance between the Poisson brackets and the commutators of the canonical variables. In such a theory, only the real spacetime curving forces need to be quantized since inertial forces are not propagated by quantum particles, a consequence of the observer choice of non-inertial reference frames. Gravitons solely propagate the real or pure gravitational force originating from quantum matter sources. Inertial forces play the role of a classical background field. Copyright © 2024 Yvan Leblanc. All rights reserved
PACS: 4.60.+n, 11.17.+y, 97.60.Lf Cite as: Leblanc, Y., "Lagrangian and Hamiltonian Formulations of Classical and Quantum Real Gravity", Report no. eFTC-240901 (2024). http://www.efieldtheory.com/abs/?eFTC-240901; doi:10.13140/RG.2.2.31845.82401. |
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