ACP Seminar (Astronomy - Cosmology - Particle Physics)

Speaker: Hoi-lai Yu (Academia Sinica)
Title: General Relativity without paradigm of space-time covariance, and resolution of the problem of time
Date (JST): Thu, Nov 29, 2012, 10:30 - 11:30
Place: Seminar Room B
Related File: 833.pdf
Abstract: The framework of a theory of gravity from quantum to classical regimes is presented. Paradigm shift from full space-time covariance to spatial diffeomorphism invariance, together with clean decomposition of the canonical structure, yield transparent physical dynamics and a resolution of the problem of time. The deep divide between quantum mechanics and conventional canonical formulations of quantum gravity is overcome with a Schrodinger equation for quantum geometrodynamics which describes evolution in intrinsic time. Unitary time development with gauge-invariant temporal ordering is also viable. All Kuchar observables become physical; and classical space-time, with direct correlation between its proper times and intrinsic time intervals, emerges from constructive interference. The framework not only yields a physical Hamiltonian for Einstein's theory, but also prompts natural extensions and improvements towards a well-behaved quantum theory of gravity.