AI RESEARCH
Spectral Kernel Dynamics for Planetary Surface Graphs: Distinction Dynamics and Topological Conservation
arXiv CS.LG
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ArXi:2604.20887v1 Announce Type: cross The spectral kernel field equation R[k] = T[k] lacks a conservation-law analog. We prove (i) the fixed-point flow is strictly volume-expanding (tr DF > 0), precluding automatic conservation, and (ii) the conservation deficit per mode equals the Hessian stability margin exactly: D_m = -Delta'. Closing the deficit requires a scene-side compensating contribution, which we formalise as the distinction dynamics equation dc/dt = G[c, h_t], with MaxCal-optimal realisation G_opt.