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The research aims to derive a master equation that unifies quantum dynamics, thermal effects, and Riemannian geometry.

March 15, 2026Open Access

Complex Time Quantum Thermal Geometry: A First-Principles Derivation of Unified Dynamics

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First-principles derivation finds a master equation uniting quantum and thermal dynamics, suggesting new implications.

The research aims to derive a master equation that unifies quantum dynamics, thermal effects, and Riemannian geometry.
Developed a master equation using five fundamental axioms including complex-time holomorphy and probability conservation.
Constructed exact analytic solutions such as plane waves and Gaussian wave packets.
Explored implications in matter-wave interferometry and ultra-cold atom systems.
Derived the Complex Time Quantum Thermal Geometric equation with a conserved norm.
Showed that the equation reduces to the Schrödinger equation in flat-space at zero temperature.
Revealed gravity-induced modifications to quantum dynamics, affecting wave-packet behavior.

Y. Li (2026) studied this question.

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