A model of integral quantum

The author thinks that the existing quantum mechanics is incomplete in nature and that a new model of quantum needs to be created to resolve this problem of incompleteness. The author would approach this by the principle of least action, or exactly Hamilton’s principle, which has the characteristic of completeness in itself. According to Hamilton’s principle, the author proposes the postulate of completeness and then defines the new integral quantum that can explain the simultaneous existence of a particle at different locations due to its form of action integral. Furthermore, the author formulates the new Hamilton’s principle as the motion equation of quantum by the direct application of Hamilton’s principle to the integral quantum, which can determine a real path from all the possible paths of a particle. Finally, the author addresses some fundamental problems in quantum and gravity with this new quantum, and thus, the theory of superrelativity is summarized and proposed.

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Publication Details

Journal
AIP Advances
Published
2026-02-01
DOI
https://doi.org/10.1063/5.0283434
Primary Topic
Quantum Mechanics and Applications
Type
article
Field-Weighted Citation Impact
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article

A model of integral quantum

Guangzhou Ge
AIP Advances
Quantum Mechanics and Applications
article

A model of integral quantum

Guangzhou Ge
article en

Abstract

The author thinks that the existing quantum mechanics is incomplete in nature and that a new model of quantum needs to be created to resolve this problem of incompleteness. The author would approach this by the principle of least action, or exactly Hamilton’s principle, which has the characteristic of completeness in itself. According to Hamilton’s principle, the author proposes the postulate of completeness and then defines the new integral quantum that can explain the simultaneous existence of a particle at different locations due to its form of action integral. Furthermore, the author formulates the new Hamilton’s principle as the motion equation of quantum by the direct application of Hamilton’s principle to the integral quantum, which can determine a real path from all the possible paths of a particle. Finally, the author addresses some fundamental problems in quantum and gravity with this new quantum, and thus, the theory of superrelativity is summarized and proposed.

AIP AdvancesVol. 16(2)
Harbin Institute of Technology (CN), Heilongjiang Institute of Technology (CN)
Reduced inequalities
Openalex Percentile: Top 58%
Quantum Mechanics and Applications
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