Quantum conformal fluctuations near the classical space-time singularity

Details Quantum conformal fluctuations near the classical space-time singularity Quantum conformal fluctuations near the classical space-time singularity

Nov 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980qcfn.rept.....n&link_type=abstract

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Mathematics

Conformal Mapping, Quantum Theory, Relativity, Singularity (Mathematics), Space-Time Functions, Big Bang Cosmology, Divergence, Einstein Equations, Green'S Functions, Variations

Scientific paper

Quantum conformal fluctuations around a classical space-time geometry is investigated. A quantized version of Einstein's general relativity is used. The approach to quantum gravity is via path integrals. The root cause of the quantum fluctuation divergence near the singularity is shown to be in the fact that the Green's function for the conformally invariant scalar wave equation diverges at the singularity. The limitations on the validity of classical general relativity near the space-time singularity are discussed and it is argued that the notion of singularity needs to be modified once the quantum effects are taken to account. The universe as a whole may not have a unique big-bang origin at all. Rather it is made of a large (probably infinite) number of compact regions which at times go through highly dense phases.

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