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Quantum Structures in Einstein General Relativity
Letters in Mathematical Physics, 2000The author presents a generalization of the geometric covariant formulation of the Galilei classical mechanics and quantum mechanics on a curved spacetime. This generalization is related to the geometric quantization. He defines an Einstein general relativistic quantum structure in analogy to the known Galilean.
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Quantum Gauge General Relativity
Communications in Theoretical Physics, 2004Based on gauge principle, a new model on quantum gravity is proposed in the frame work of quantum gauge theory of gravity. The model has local gravitational gauge symmetry, and the field equation of the gravitational gauge field is just the famous Einstein's field equation.
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Noncommutative Unification of General Relativity and Quantum Mechanics
International Journal of Theoretical Physics, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Heller, Michael, Sasin, Wiesław
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Quantum Clocks in General Relativity
2017This chapter derives and discusses quantisation of the relativistic “clock” Hamiltonian, providing dynamics of low energy quantum systems with internal degrees of freedom in a fixed background.
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Quantum-Theory Restrictions on the General Theory of Relativity
Physical Review, 1949The limitations set by the uncertainty principle on the measurement of the curvature of space are determined by passing a small test particle around a geodesic triangle. In measuring the curvature of space around a Schwarzschild-solution particle of finite size and physically realized density, it is found that the mass must be at least of the order of $
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Quantum fluctuation-dissipation theorem for general relativity
Physical Review D, 1986By applying linear-response methods long familiar in many-body theory to quantum fluctuations in curved spacetime, the vacuum is shown to behave like a dissipative as well as a fluctuating medium. The implications of this quantum vacuum ''viscosity'' for cosmology and the cosmological constant are discussed.
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General Relativity and Quantum Theory
1977The fact, that the traditional quantum mechanics does not fulfill the requirement of Einstein’s General Principle of Relativity is the reason for presenting this paper. Here a new foundation of quantum theory is given [1]. The fundamental quantum laws proposed are: 1.
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The Confrontation between General Relativity and Experiment
Living Reviews in Relativity, 2014Clifford M Will
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