2007/11/14 by Laurent Nottale, Marie-Noëlle Célérier · 1 citation
Medicine · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Biofield Effects and Biophysics #Quantum Mechanics and Applications #quant-ph
paper · pdf · doi:10.1088/1751-8113/40/48/012
published as J.Phys.A40:14471-14498,2007 · 30 pages, no figure
openalex publication_date 2007/11/14 · arxiv created 2007/11/15 · arxiv updated 2011/07/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
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.