Quaternions, Torsion and the Physical Vacuum: Theories of M. Sachs and G. Shipov Compared

  • David Cyganski
  • Page William S. 
Conference paper
Part of the Fundamental Theories of Physics book series (FTPH, volume 126)


Of several developments of unified field theories in the spirit of Einstein’s original objective of a fully geometric description of all classical fields as well as quantum mechanics, two are particularly noteworthy. The works of Mendel Sachs and Gennady Shipov stand apart as major life works comprising tens of papers, several monographs and decades of effort. Direct comparison of these theories is hampered however by differences in notation and conceptual view-point. Despite these differences, there are many parallels between the fundamental mathematical structures appearing in each. In this paper we discuss the main tenets of the two approaches and demonstrate that they both give rise to a factorization of the invariant interval of general relativity.


Covariant Derivative Quaternion Algebra Affine Connection Physical Vacuum Tetrad Field 
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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • David Cyganski
    • 1
  • Page William S. 
    • 2
  1. 1.Worcester Polytechnic InstituteWorcester
  2. 2.Daneliuk & PageKingston

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