Some physical implications of the Weyl-Dirac theory

Details Some physical implications of the Weyl-Dirac theory Some physical implications of the Weyl-Dirac theory

Oct 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999cqgra..16.3367a&link_type=abstract

Classical and Quantum Gravity, Volume 16, Issue 10, pp. 3367-3380 (1999).

Mathematics

Logic

5

Scientific paper

The solution of a wave equation in the Gauss-Mainardi-Codazzi formalism of Weyl-Dirac theory is obtained in terms of the elliptic function. In particular, by degenerating the elliptic function, plane-wave, wavepacket, kink and soliton results. Each particular solution corresponds to certain values of the curvature scalar and of the cosmological constant, so that the entity manifests different wave-particle properties in different geometric situations. Associating a superconducting behaviour to matter, by means of the kink solution, we find the dependences on the reduced temperature of the superconducting parameters, in other words, we develop a thermodynamics of the isolated particle. Using the soliton solution we show that for any particle we can define a particular waveguide.

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