Mathematics – Logic
Scientific paper
Feb 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999afz....42..137p&link_type=abstract
Astrofizika, Tom 42, Vyp. 1, p. 137 - 154
Mathematics
Logic
General Relativity: Time
Scientific paper
The paper is devoted to the description a measurable timeinterval ("proper time") in the Hamilton version of general relativity with the Dirac-ADM metric. To separate the dynamical parameter of evolution from the space metric the authors use the Lichnerowicz conformally invariant variables. In terms of these variables GR is equivalent to the conformally invariant Penrose-Chernicov-Tagirov theory of a scalar field the role of which is played by the scale factor multiplied on the Planck constant. Identification of this scalar field with the modulus of the Higgs field in the standard model of electroweak and strong interactions allows to formulate an example of conformally invariant unified theory where the vacuum averaging of the scalar field is determined by cosmological integrals of motion of the Universe evolution.
Papoyan Vl. V.
Pavlovski M.
Pervushin Victor N.
Smirichinskij V. I.
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