Remarks on Weyl geometry and quantum mechanics

Abstract

A short survey of some material related to conformal general relativity (CGR), integrable Weyl geometry, and Dirac-Weyl (DW) theory is given which suggests that CGR is essentially equivalent to DW with quantum mass equivalent to conformal mass, and various actions can be reformulated in terms of the quantum potential.

25 pages, Latex, typos fixed, some embellishment, reference added, typos corrected, some reorganization and clarification

References in corpus (1)

• On the quantum potential

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• On physical meaning of Weyl vector
• Generalized Madelung transformations for quantum wave equations I: generalized spherical coordinates for field spaces