Quaternions and the heuristic role of mathematical structures in physics

Details Quaternions and the heuristic role of mathematical structures in physics Quaternions and the heuristic role of mathematical structures in physics

1992-08-11

arxiv.org/abs/hep-ph/9208222v2

Phys.Essays 6 (1993) 308-319

Physics

High Energy Physics

High Energy Physics - Phenomenology

39 pages, LaTeX, UM-P-92/61

Scientific paper

One of the important ways development takes place in mathematics is via a process of generalization. On the basis of a recent characterization of this process we propose a principle that generalizations of mathematical structures that are already part of successful physical theories serve as good guides for the development of new physical theories. The principle is a more formal presentation and extension of a position stated earlier this century by Dirac. Quaternions form an excellent example of such a generalization, and we consider a number of the ways in which their use in physical theories illustrates this principle.

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