Spectral kernel dynamics on fixed-topology surface graphs require distinction dynamics to restore conservation, and retaining at least beta_0 + beta_1 modes under a spectral-ordering assumption preserves all Betti numbers.
Irreversibility and heat generation in the computing process,
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Maximum Caliber on graph spectral kernels yields self-consistent fixed-point solutions, log-linear Fisher-Rao geodesics, and spectral entropy signals for structural phase transitions.
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Spectral Kernel Dynamics for Planetary Surface Graphs: Distinction Dynamics and Topological Conservation
Spectral kernel dynamics on fixed-topology surface graphs require distinction dynamics to restore conservation, and retaining at least beta_0 + beta_1 modes under a spectral-ordering assumption preserves all Betti numbers.
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Spectral Kernel Dynamics via Maximum Caliber: Fixed Points, Geodesics, and Phase Transitions
Maximum Caliber on graph spectral kernels yields self-consistent fixed-point solutions, log-linear Fisher-Rao geodesics, and spectral entropy signals for structural phase transitions.