Date of Publication
5-1994
Document Type
Master's Thesis
Degree Name
Master of Science in Physics
Subject Categories
Physics
College
College of Science
Department/Unit
Physics
Thesis Adviser
Robert Roleda
Defense Panel Chair
Reuben Quiroga
Defense Panel Member
Daniel Garcia
Emmanuel Rodulfo
Abstract/Summary
This thesis attempts to formulate a SU (4) x SU (4) Grand Unified Theory incorporating known leptons and coloured quark into a common multiplet representation utilizing a set of four (4) anticommuting Grassmann coordinates appended to space-time coordinates and field states expressed in quaternion form. Two sets of SU (4) generators, one in terms of Grassmannian coordinates and their partial derivatives while the other in terms quaternion imaginaries, were used to portray the SU(4) x SU(4) gauge symmetry of the theory. Electromagnetic, strong nuclear interactions of fermions as well as weak interaction of a left-handed type covering 3 generations of the particle spectrum were generated.
Abstract Format
html
Format
Accession Number
TG02247
Shelf Location
Archives, The Learning Commons, 12F Henry Sy Sr. Hall
Physical Description
54 leaves
Keywords
Quaternions; Numbers, Complex; Grand unified theories; Grassmann manifolds; Differential topology; Manifolds (mathematics); Gauge fields (Physics)
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Recommended Citation
Palisoc, C. P. (1994). Quaternionic grassmannian approach to SU (4) x SU (4) grand unified theory. Retrieved from https://animorepository.dlsu.edu.ph/etd_masteral/1560
