Relationship between Conformal Geometrodynamics and Dirac Equations

Details Relationship between Conformal Geometrodynamics and Dirac Equations Relationship between Conformal Geometrodynamics and Dirac Equations

2009-07-27

arxiv.org/abs/0907.4558v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages

Scientific paper

The paper describes a unique phenomenon -- the possibility of establishing, in certain space regions, the one-to-one correspondence between equations related to absolutely different physical phenomena: (1) phenomena associated with the Weyl degrees of freedom in plane space; (2) phenomena, which can be described in terms of half-integer spin particles and observed quantities corresponding to a full set of bispinors. The phenomenon established opens wide prospects for resolving in future the ``old'' disputable issue concerning the physical meaning of the Weyl vector. The paper discusses, in particular, the possibility of identifying the Weyl vector with the current density vector of bispinors constituting a bispinor matrix included in the Dirac equation. Some other issues are also discussed.

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