From the Weyl theory to a theory of locally anisotropic spacetime
Abstract
It is shown that Weyl ideas, pertaining to local conformal invariance, find natural embodiment within the framework of a relativistic theory based on a viable Finslerian model of spacetime. This is associated with the peculiar property of the conformal invariant Finslerian metric which describes a locally anisotropic space of events. The local conformal transformations of the Riemannian metric tensor leave invariant rest masses as well as all observables and thus, appear as local gauge transformations. The corresponding Finslerian theory of gravitation turns out, as a result, to be an Abelian gauge theory. It satisfies the principle of correspondence with Einstein theory and predicts a number of nontrivial physical effects accessible for experimental test under laboratory conditions.
 Publication:

Unknown
 Pub Date:
 1991
 Bibcode:
 1991fwtt.rept.....B
 Keywords:

 Anisotropy;
 Conformal Mapping;
 Field Theory (Physics);
 Gauge Invariance;
 Gravitation Theory;
 Quantum Theory;
 Relativistic Theory;
 Relativity;
 Riemann Manifold;
 SpaceTime Functions;
 Metric Space;
 Tensors;
 Transformations (Mathematics);
 Thermodynamics and Statistical Physics