Moiré Photon Fluctuations A Phenomenological Two-Mode Framework for Open Optical Dynamics, Exceptional Points, and Future hBN Spin Interfaces

This preprint develops a testable theoretical framework for quantumfluctuations of optical modes localized within a Moiré-patterned photonicstructure. Two localized modes are represented by bosonic operators aand b, with coherent coupling g, resonance detuning, and mode-dependentloss rates. The model yields an effective non-Hermitian two-mode matrixand an exceptional-point (EP) condition. Quantum fluctuations aredescribed using input-output Langevin equations and correlation functions,with explicit attention to the distinction between classical branchingpatterns, polarization trajectories on the Poincaré sphere, photon statistics,and quantum entanglement. A previously describedconcentration-dependent optical branching pattern is treated as motivationfor a possible control parameter, not as evidence of Moiré localization ornonclassical light. A future interface to an optically addressable hBN spin isoutlined. Finally, the manuscript states a falsifiable route for comparingindependently derived optical spectral functions with the Riemann xifunction, while emphasizing that no Riemann-zero correspondence followsfrom the present finite-dimensional model.