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Publishing Language: Chinese

THE GEOMETRIC CONTACT AND ITS APPLICATIONS TO PHYSICS

School for Theoretical Physics, School of Physics and Electronics, Hunan University, Changsha, Hunan 410082
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Abstract

Geometric contact provides a precise characterization of the approximate equality of two functions in physics, and its mathematical locality can be interpreted as physical intervality. In physics, the failure to introduce this geometric contact and provide it with a physical interpretation has led to unnecessary controversies in understandings and descriptions of the same phenomenon across various pieces of literature. By addressing two specific problems in thermodynamics and statistical physics, some long-standing unresolved conceptual issues have been resolved.

Keywords

thermodynamicsstatistical physicsdifferential geometrycontactthird lawBose-Einstein condensation

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Physics and Engineering
Volume 36 Issue 3,
May 2026
Pages 109-114
DOI: 10.26599/PHYS.2026.9320313

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Cite this article:
LIU Q. THE GEOMETRIC CONTACT AND ITS APPLICATIONS TO PHYSICS. Physics and Engineering, 2026, 36(3): 109-114. https://doi.org/10.26599/PHYS.2026.9320313

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Received: 29 December 2025
Revised: 23 March 2026
Published: 07 August 2026
© 2026 Physics and Engineering.