Preprint Article Version 4 Preserved in Portico This version is not peer-reviewed

The Conservation Laws in Quantum Mechanics

Version 1 : Received: 17 March 2023 / Approved: 20 March 2023 / Online: 20 March 2023 (02:36:45 CET)
Version 2 : Received: 27 March 2023 / Approved: 27 March 2023 / Online: 27 March 2023 (08:49:52 CEST)
Version 3 : Received: 31 March 2023 / Approved: 31 March 2023 / Online: 31 March 2023 (05:28:31 CEST)
Version 4 : Received: 6 April 2023 / Approved: 6 April 2023 / Online: 6 April 2023 (09:29:12 CEST)

A peer-reviewed article of this Preprint also exists.

Oldani R. The Conservation Laws in Quantum Mechanics. J Biomed Res Environ Sci. 2023 Apr 08; 4(4): 654-659. doi: 10.37871/jbres1722, Article ID: JBRES1722, Available at: https://www.jelsciences.com/articles/jbres1722.pdf Oldani R. The Conservation Laws in Quantum Mechanics. J Biomed Res Environ Sci. 2023 Apr 08; 4(4): 654-659. doi: 10.37871/jbres1722, Article ID: JBRES1722, Available at: https://www.jelsciences.com/articles/jbres1722.pdf

Abstract

It is often claimed that Einstein is wrong about quantum mechanics. However, when comparisons are made with respect to theoretical foundations rather than experimental results Einstein’s theories are found to be superior. Although quantum mechanics correctly predicts what it is possible to observe (the emissions) it ignores the other half of natural phenomena, what cannot be observed (the absorptions), thereby violating the conservation laws. By describing only one-half of radiation processes conceptual difficulties such as wave function collapse, infinite paths, and inscrutable mathematics seem to be insoluble mysteries. The deficiencies are corrected by introducing Hamilton’s principle S = ∫ Ldt and applying the methods of quantum field theory to derive relativistic equations of motion. The calculus of variations is used to show that the wave function represents an incomplete equation of motion because it equals twice the allowable action minimum.

Keywords

conservation laws; Hamilton's principle; energy; momentum; path integral formulation; matrix mechanics

Subject

Physical Sciences, Theoretical Physics

Comments (1)

Comment 1
Received: 6 April 2023
Commenter: Richard Oldani
Commenter's Conflict of Interests: Author
Comment: A new abstract is included.  Equation 2) is corrected. Content is added to improve understanding.
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