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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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First Principles Derivation of the CTQTG Master Equation

Authors: li, yuanjian;

First Principles Derivation of the CTQTG Master Equation

Abstract

We present a rigorous, first principles derivation of the Complex Time Quantum Thermal Geometric (CTQTG) master equation,a unified dynamical law that consistently combines quantum unitary evolution, thermodynamic irreversibility, and Riemannian gravitational geometry within a single holomorphic structure. The derivation relies solely on fundamental axioms: complex-time holomorphy, Kähler geometric consistency, probability conservation, dimensional completeness, and stability. The geometric coupling coefficient is uniquely fixed by the Planck scale,leaving no free parameters beyond an order-one dimensionless constant. We analyze the well-posedness, regularity, uniqueness, and positivity of solutions, construct explicit analytic solutions including plane waves and Gaussian wave packets, and explore their profound physical implications. From the exact solutions, we derive bold, testable predictions that bridge quantum mechanics, general relativity, thermodynamics, and the Standard Model. This equation represents a novel, mathematically consistent, and physically completecandidate for the fundamental master equation of a Theory of Everything.

Keywords

Complex Time Quantum Thermal Geometric, probability conservation, dimensional completeness, master equation, complex-time holomorphy, Kähler geometric consistency, CTQTG

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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