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The research aims to unify quantum dynamics with thermal effects using complex time and geometric principles.

March 15, 2026Open Access

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

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First-principles derivation demonstrates Schrödinger dynamics in Riemannian geometries with implications for thermal effects.

The research aims to unify quantum dynamics with thermal effects using complex time and geometric principles.
Derivation of the CTQTG equation using five fundamental axioms.
Analysis of the equation's properties including conservation and well-posedness on compact manifolds.
Construction of exact analytic solutions such as plane waves and Gaussian packets.
The CTQTG equation reduces to the Schrödinger equation at zero temperature.
It shows gravity-induced modifications to quantum dynamics, including wave-packet broadening.
Predictions made for experimental applications in matter-wave interferometry and ultra-cold atom systems.

Y. Li (2026) studied this question.

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