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On the space‐time structure and its relation to quantum mechanics
Author(s) -
Kasper U.
Publication year - 1986
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.2113070518
Subject(s) - wkb approximation , connection (principal bundle) , covariant transformation , mathematical physics , physics , dirac equation , dirac (video compression format) , space (punctuation) , quantum field theory , riemann hypothesis , type (biology) , space time , classical mechanics , theoretical physics , quantum mechanics , mathematics , pure mathematics , geometry , philosophy , neutrino , ecology , linguistics , chemical engineering , biology , engineering
The Weyl covariant formulation of Dirac's equation by means of a rest mass the Weyl type of which is — 1, implies the introduction of a Riemann structure in addition to the Weyl structure. The Ehlers‐Pirani‐Schild attempt to specify the space‐time structure and the lowest order of the WKB approximation are compatible with each other. Only the requirement that the connection to which the Dirac field couples minimally is identical to the connection the autoparallels of which are the world lines of structure‐less test particles, leads to a reduction of the Weyl structure to the Riemannian one.