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July 3, 2026Open Access

R-layer Mode Theory (RLMT) LXX: Scattering Theory, Thermodynamics, and Quantum Information Flow

Key Points

This work aims to develop a framework integrating scattering theory, thermodynamics, and quantum information flow within the R-layer Mode Theory (RLMT).
Developed the scattering theory and constructed an S-matrix for R-wave scattering.
Built an interacting R-layer quantum field theory linking mode imbalance to effective couplings.
Established a thermodynamic framework incorporating entanglement currents and modular free energy.
Derived a universal quantum computational structure from R-wave processes interpreted as quantum gates.
Developed a second law of thermodynamics relevant to entanglement currents.
Described the R-layer code subspace, highlighting its quantum error-correcting properties.

Abstract

This volume develops the scattering theory, thermodynamics, and quantum information flow of R-layer Mode Theory (RLMT).It formulates R-wave scattering, constructs a bulk-to-boundary S-matrix, and derives an LSZ-type reduction formula for R-layer perturbations.An interacting R-layer quantum field theory is built, linking mode imbalance to effective couplings.R-wave processes are interpreted as quantum gates, and modular flow is shown to generate a universal quantum computational structure.A thermodynamic framework is developed, including entanglement currents, a second law, and modular free energy.Finally, the R-layer code subspace is described, revealing its quantum error-correcting structure and unifying scattering, thermodynamics, and information processing in RLMT.

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