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Preprint demonstrates coherence observables capturing operator structure in diffusion geometry, indicating new diagnostic potential.
This preprint introduces basis-sensitive coherence observables for self-adjoint generators and benchmarks them against spectral dimension, disorder localization, and modular-Hamiltonian structure. The results show that the proposed observables capture operator structure not visible to eigenvalue-only diagnostics and can distinguish modular architectures even when entanglement entropy is nearly matched.
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James Bowling (2026) studied this question.
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