Mathematics
Scientific paper
Mar 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988cqgra...5..491c&link_type=abstract
Classical and Quantum Gravity (ISSN 0264-9381), vol. 5, March 1, 1988, p. 491-506. NSERC-supported research.
Mathematics
1
Deviation, Electromagnetism, Gravitation Theory, Invariance, Covariance, Dirac Equation, Equations Of Motion, Lagrange Multipliers, Lie Groups, Vectors (Mathematics)
Scientific paper
The equation of deviation is derived for a conformally invariant theory of gravitation and electromagnetism in which scale is generated by a topological constraint. Compared with its counterpart in the Einstein-Maxwell theory, the equation contains some extra terms proportional to the electromagnetic potential indicating the existence of linear and nonlinear Bohm-Aharonov effects. These are present also in the related theories of Weyl and Dirac. From the same equation one can derive an expression for the quantization of geometry which further illustrates the topological mechanism for the genesis of scale. As a by-product, the magnitudes of some Einstein-Maxwell corrections in Weber-type experiments are estimated.
Cai Yong Q.
Papini Giorgio
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