Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

The Conservation Laws in Quantum Mechanics

Version 1 : Received: 12 May 2023 / Approved: 12 May 2023 / Online: 12 May 2023 (13:38:11 CEST)
Version 2 : Received: 23 June 2023 / Approved: 30 June 2023 / Online: 3 July 2023 (13:36:33 CEST)
Version 3 : Received: 27 October 2023 / Approved: 27 October 2023 / Online: 30 October 2023 (12:19:56 CET)
Version 4 : Received: 21 November 2023 / Approved: 22 November 2023 / Online: 23 November 2023 (16:36:39 CET)
Version 5 : Received: 11 December 2023 / Approved: 12 December 2023 / Online: 13 December 2023 (06:11:17 CET)
Version 6 : Received: 29 December 2023 / Approved: 29 December 2023 / Online: 29 December 2023 (10:37:10 CET)
Version 7 : Received: 2 April 2024 / Approved: 3 April 2024 / Online: 5 April 2024 (03:54:56 CEST)

How to cite: Oldani, R. The Conservation Laws in Quantum Mechanics. Preprints 2023, 2023050952. https://doi.org/10.20944/preprints202305.0952.v2 Oldani, R. The Conservation Laws in Quantum Mechanics. Preprints 2023, 2023050952. https://doi.org/10.20944/preprints202305.0952.v2

Abstract

Using arguments originally introduced by Einstein we show that the reductionist philosophy of quantum mechanics reverses the natural order. In quantum mechanics emission is followed by observation and interpreted classically with the collapse of the wave function, whereas in nature classical absorptions of energy precede emission. Also momentum transfers leading to emissions are asymmetric with respect to spatial orientation and time, but are disregarded in quantum mechanics because molecular impulses cannot be observed. Thus despite irrefutable physical evidence that microscopic processes evolve asymmetrically the wave function is assumed to apply symmetrically in time. The deficiencies are corrected by introducing Hamilton’s principle and deriving relativistic equations of motion. The calculus of variations is then applied to the wave function to show that it is an incomplete equation of motion because it yields twice the allowable action minimum thereby allowing the concept of reality to be redefined.

Keywords

Non-relativistic quantum mechanics; relativistic quantum mechanics; reality; reductionism; Hamilton’s principle; energy; momentum

Subject

Physical Sciences, Theoretical Physics

Comments (1)

Comment 1
Received: 3 July 2023
Commenter: Richard Oldani
Commenter's Conflict of Interests: Author
Comment: Version 5: new abstract, new conclusion, addition of new material in second  half,  improved derivation of relativistic quantum mechanics
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