Titlebook: Quantum Gravity; M. A. Markov,P. C. West Book 1984 Plenum Press, New York 1984 cosmology.gauge theory.general relativity.geometry.law of t

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On High-Frequency Background Quantisation of Gravityn describing the back reaction of fluctuations on the background. It is shown that such an approach leads to limitations for the quantum procedure which occur at distances larger than Planck’s elementary length . = (hG/c.)..

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Can De Sitter Spacetime be a Final State of the Contracting Universe?thermodynamic potentials into the thermodynamic relations. It is shown that this trick leads to “softening” of the equation of state. It is demonstrated, using a model equation of state, that during a cosmological contraction a de Sitter spacetime may be produced.

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Self-Consistent Treatment of Vacuum Quantum Effects in Isotropic Cosmology that quantum theory may yield the resolution of one of the main problems of modern theoretical physics — the problem of gravitational singularities. Here we shall make an attempt to eliminate the cosmological singularity in the framework of the theory of quantum fields in curved space-time.

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Grand Unified Phase Transitions and the Early Universeking into account the effects of the phase transitions. The possibility of the existence of vacuum domains with different gauge symmetries is suggested. We discuss cosmological implications of this phenomenon.

Introduction

The Loss of Quantum Coherence due to Virtual Black Holest cannot be factored into an ordinary Feynman diagram for an amplitude and its complex conjugate diagram. Such diagrams seem to occur when the gravitational field has non-trivial topology. They cause pure initial states to evolve into mixed final states.

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