Deep Structural Theory and the Modular Thermodynamic Formulation of the KAGURA Cycle -- An Information- Dissipative Approach toward Spacetime Emergence --

This paper presents the Deep Structural Theory (DST) and the formulation of the KAGURA Cycle, establishing a novel mathematical framework that unifies quantum mechanics and general relativity through the mechanism of information dissipation. We redefine spacetime not as a fundamental background, but as an emergent phenomenon arising from open quantum dynamics. By bridging the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) master equation for microscopic decoherence with Ted Jacobson's thermodynamic derivation of the Einstein field equations, we introduce the "Generative Gap (Δ)" as the primary source of macroscopic irreversibility and the arrow of time. The KAGURA Cycle operates as a non-linear feedback loop consisting of four elements: Quantum Information Potential (C), Interaction Dynamics (D), the Generative Gap (Δ), and Classical Spacetime Structure (R). Through this framework, the microscopic information loss quantified by von Neumann entropy production is instantly mapped onto the boundary thermodynamics of a local Rindler horizon, driving spacetime emergence in a background-independent manner. Finally, we propose concrete, laboratory-scale empirical protocols using optical lattice clocks and Accelerator Mass Spectrometry (AMS) to falsify the predicted metric fluctuations, offering a highly verifiable alternative to conventional quantum gravity models.