Intrinsic time gravity, heat kernel regularization, and emergence of Einstein’s theory

DOI10.1088/1361-6382/abcb0ezbMath1479.83212arXiv1707.02720OpenAlexW2735983553MaRDI QIDQ5162503

Hoi-Lai Yu, Eyo Eyo III Ita, Chopin Soo

Publication date: 2 November 2021

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.02720

zbMATH Keywords

Einstein's theoryCotton-York tensorintrinsic timeheat kernel regularization

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Dimensional analysis and similarity applied to problems in fluid mechanics (76M55) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Geometrodynamics and the holographic principle (83E05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Eta-invariants, Chern-Simons invariants (58J28) Linear and affine connections (53B05) Heat kernel (35K08)

Cites Work

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• Heat kernel expansion: user's manual
• General Relativity without paradigm of space-time covariance, and resolution of the problem of time
• Intrinsic time quantum geometrodynamics
• Quantum geometrodynamics with intrinsic time development
• The Cotton tensor in Riemannian spacetimes
• Intrinsic time gravity and the Lichnerowicz–York equation
• Characterizations of selfadjoint operators
• A Note on Square Roots of Positive Operators
• The square root of a positive self-adjoint operator
• Quantum Theory of Gravity. I. The Canonical Theory

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