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Quaternion wave equations in curved space-timeThe quaternion formulation of relativistic quantum theory is extended to include curvilinear coordinates and curved space-time in order to provide a framework for a unified quantum/gravity theory. Six basic quaternion fields are identified in curved space-time, the four-vector basis quaternions are identified, and the necessary covariant derivatives are obtained. Invariant field equations are derived, and a general invertable coordinate transformation is developed. The results yield a way of writing quaternion wave equations in curvilinear coordinates and curved space-time as well as a natural framework for solving the problem of second quantization for gravity.
Document ID
19750053253
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Edmonds, J. D., Jr. (NASA Ames Research Center Moffett Field; Stanford University, Stanford, Calif., United States)
Date Acquired
August 8, 2013
Publication Date
January 1, 1974
Publication Information
Publication: International Journal of Theoretical Physics
Volume: 10
Issue: 2, 19
Subject Category
THEORETICAL MATHEMATICS
Distribution Limits
Public
Copyright
Other