Abstract
Using a formula derived from the Dirac equation, written in Clifford algebra, we prove that either in relativistic or in corpuscular (quantum) mechanics (Bohm, Vigier) free electrons cannot be localized. This makes the corpuscular hypothesis unacceptable, disproving the possibility of a subquantum field.
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References
Hestenes D., “Spacetime Algebra”, New York: Gordon and Breach, (1966).
Casanova G., Sur certains champs magnétiques,CRAS,267, Séries B, 661 (1968); Non-localisation des électrons dans leur onde,Advances in Applied Clifford Algebras,3 (2), 127–132 (1993); L’algèbre de Clifford at la dialectique de Hegel,ibid. 4 (2), 152–164 (1994).
Casanovn G., The Electron’s Double Nature.Advances in Applied Clifford Algebras,7 (S), 162–168 (1997).
Vigier J. P.,Structure des micro-objects, Gauthier-Villars, Paris (1956).
de Broglie L., Etude critique des bases de l’interpretation actuelle de la mècanique ondulatoire. Gauthier-Villars, Paris, 42 (1963). Nouvelle thèoriedes particules, Gauthier-Villars, Paris, 95 (1961).
Messiah, A.,Mécanique quantique, T. 1. Dunod, Paris, 113.
Ivanov B.,Physique Nouvelle, Ed. Mir, Moscu, p. 142–146 (1966).
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Casanova, G. Non localization of free electrons. AACA 10, 39–44 (2000). https://doi.org/10.1007/BF03042007
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DOI: https://doi.org/10.1007/BF03042007