Physics
Scientific paper
Dec 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet.1073h&link_type=abstract
"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R
Physics
Scientific paper
Growing experimental confirmation of Einstein's general theory of relativity and its perfect mathematical structure convinces many physicists that its predictions should apply even to extreme situations for which direct observation becomes ambiguous. It is, however, in the very nature of a good mathematical theory that it cannot identify physical objects in all extremes with its axiomatic creations. The limitations of the applicability of general relativity in microscopic domains is accepted, yet the implications for macroscopic situations is often left unconsidered. We take here the conceptual difficulties of the theory associated with the collapse of matter to a point as serious as we would take any observational discrepency. We thus search for alternatives that may become manifest only in extreme situations but which will modify the theory somewhat everywhere. Field equations with higher than second derivatives of the metric are required to achieve such modifications. Quantum field theory suggests covariant equations with up to fourth derivatives. These additional terms are related to the zero-point energy.1,2,3 The modified equations still have all solutions of Einstein's vacuum equations but also other solutions may exist; no truly physical examples of such solutions have been found. We shall not deal with this possibility here but newer results are in preparation...
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