Mathematics – Logic
Scientific paper
Aug 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984zhetf..87..375s&link_type=abstract
Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki (ISSN 0044-4510), vol. 87, Aug. 1984, p. 375-383. In Russian.
Mathematics
Logic
53
Big Bang Cosmology, Quantum Theory, Space-Time Functions, Unified Field Theory, Universe, Continuum Mechanics, Dimensions, Euclidean Geometry, Gravitation Theory, Gravitational Collapse, Macroscopic Equations, Relativity, Time Functions
Scientific paper
Hypotheses are suggested concerning the nature of the space-time continuum: (1) that there exists a series of states within the space-time continuum which includes regions with different metric signatures; and (2) that the observable universe and an infinite number of other universes are created as a result of quantum transitions involving the alteration of the metric signature. According to these hypotheses, the gravitational Lagrangian must satisfy conditions of nonnegativity in regions with even signature. An induced gravitational Lagrangian is found which satisfies this requirement and yields effective equations corresponding to general relativity theory. Some implications for conventional cosmological theories are discussed on the basis of the calculations.
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