Derivation of the postulates of quantum mechanics from the first principles of scale relativity

Details Derivation of the postulates of quantum mechanics from the first principles of scale relativity Derivation of the postulates of quantum mechanics from the first principles of scale relativity

2007-11-15

arxiv.org/abs/0711.2418v1

J.Phys.A40:14471-14498,2007

Physics

Quantum Physics

30 pages, no figure

Scientific paper

10.1088/1751-8113/40/48/012

Quantum mechanics is based on a series of postulates which lead to a very good description of the microphysical realm but which have, up to now, not been derived from first principles. In the present work, we suggest such a derivation in the framework of the theory of scale relativity. After having analyzed the actual status of the various postulates, rules and principles that underlie the present axiomatic foundation of quantum mechanics (in terms of main postulates, secondary rules and derived `principles'), we attempt to provide the reader with an exhaustive view of the matter, by both gathering here results which are already available in the literature, and deriving new ones which complete the postulate list.

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