TRANSFORMATION-THEORETIC PROBLEMS IN VARIANT FIELD THEORY I: FUNDAMENTALS

摘要

The theory of Variant Fields, as set forth in R-392-PR, The Structure of Field Space, is based upon a Lagrangian formulation in which the Lagrangian function is assumed to have no reassigned transformation properties. The explicit implications of this assumption are examined in the context of the transformation properties and the structure of the variant field equations. The salient results of the previous exposition are given, as modified by the transformation-theoretic considerations. The results establish the underlying transformation-theoretic problems of geometrizable field theories.