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This work aims to derive a master equation that combines principles of quantum mechanics, thermodynamics, and geometry.

March 15, 2026Open Access

First Principles Derivation of the CTQTG Master Equation

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This work aims to derive a master equation that combines principles of quantum mechanics, thermodynamics, and geometry.
Utilized first principles and fundamental axioms to derive the CTQTG master equation
Analyzed properties such as well-posedness and regularity of solutions
Constructed explicit analytic solutions including plane waves and Gaussian wave packets
Established a uniquely fixed geometric coupling coefficient related to the Planck scale
Demonstrated the uniqueness and positivity of the solutions derived
Derived testable predictions linking quantum mechanics, general relativity, and thermodynamics

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The derivation of a master equation unifying quantum evolution and thermodynamics suggests bold predictions for physics.

Y. Li (2026) studied this question.

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