Geometric Framework for Unified Field Theory Using Finsler Gauge Transformation

A Unified Framework of Elementary Geometric Transformation Representation

As an extension of projective homology, stereohomology is proposed via an extension of Desargues theorem and the extended Desargues configuration. Geometric transformations such as reflection, translation, central symmetry, central projection, parallel projection, shearing, central dilation, scaling , and so on are all included in stereohomology and represented as modified Householder elementar...

Unified Gauge Field Theoryand Topologicaltransitions

X iv :h ep -t h/ 04 06 04 9v 1 4 J un 2 00 4 UNIFIED GAUGE FIELD THEORYAND TOPOLOGICALTRANSITIONS AJAY PATWARDHAN Physics Department ,St Xavier’s College, Mahapalika Marg, Mumbai, India [email protected] Visitor, Institute of Mathematical sciences, Chennai, India ABSTRACT The search for a Unified description of all interactions has created many developments of mathematics and physics. The role o...

Gauge Field Theory Models

Supersymmetric U(1) Gauge Field Theory With Massive Gauge Field

According to the conventional notion, if a system has strict gauge symmetry, the mass of gauge field in the lagrangian must be zero [1 ]. With the development of the gauge theory, this notion has already been changed. In the gauge theory developed by Wu [2 ], under the precondition that the system has strict gauge symmetry, the theory contains massive gauge bosons. In fact, this result holds no...

Noncommutative Geometric Gauge Theory from Superconnections

Noncommutative geometric gauge theory is reconstructed based on the superconnection concept. The bosonic action of the Connes-Lott model including the symmetry breaking Higgs sector is obtained by using a new generalized derivative, which consists of the usual 1-form exterior derivative plus an extra element called the matrix derivative, for the curvatures. We first derive the matrix derivative...