Modified Weyl theory and extended elementary objects

Foundations of Physics 19 (12):1479-1497 (1989)
  Copy   BIBTEX

Abstract

To represent extension of objects in particle physics, a modified Weyl theory is used by gauging the curvature radius of the local fibers in a soldered bundle over space-time possessing a homogeneous space G/H of the (4, 1)-de Sitter group G as fiber. Objects with extension determined by a fundamental length parameter R0 appear as islands D(i) in space-time characterized by a geometry of the Cartan-Weyl type (i.e., involving torsion and modified Weyl degrees of freedom). Farther away from the domains D(i), space-time is identified with the pseudo-Riemannian space of general relativity. Extension and symmetry breaking are described by a set of additional fields ( $(\tilde \xi ^a (x),R(x)) \in {G \mathord{\left/ {\vphantom {G H}} \right. \kern-0em} H}x R^ +$ , given as a section on an associated bundle $\tilde E(B,{G \mathord{\left/ {\vphantom {G H}} \right. \kern-0em} H}x R^ + ,\tilde G)$ over space-time B with structural group $\tilde G$ = G ⊗ D(1), where D(1) is the dilation group. Field equations for the quantities defining the underlying bundle geometry and for the fields $\tilde \xi ^a (x)$ are established involving matter source currents derived from a generalized spinor wave function. Einstein's equations for the metric are regarded as the part of the $\tilde G$ -gauge theory related to the Lorentz subgroup H of G exhibiting thereby the broken nature of the $\tilde G$ -symmetry for regions outside the domains D(i)

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 90,221

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Mass Generation by Weyl Symmetry Breaking.Wolfgang Drechsler - 1999 - Foundations of Physics 29 (9):1327-1369.
Broken Weyl Invariance and the Origin of Mass.W. Drechsler & H. Tann - 1999 - Foundations of Physics 29 (7):1023-1064.
Hermann Weyl on Minkowskian Space–Time and Riemannian Geometry.Yvon Gauthier - 2005 - International Studies in the Philosophy of Science 19 (3):261 – 269.
Classical versus quantum gravity.Wolfgang Drechsler - 1993 - Foundations of Physics 23 (2):261-276.
Wesson’s Induced Matter Theory with a Weylian Bulk.Mark Israelit - 2005 - Foundations of Physics 35 (10):1725-1748.
On Measuring Standards in Weyl’s Geometry.Mark Israelit - 2005 - Foundations of Physics 35 (10):1769-1782.

Analytics

Added to PP
2013-11-22

Downloads
23 (#581,732)

6 months
1 (#1,028,709)

Historical graph of downloads
How can I increase my downloads?