Kernel Dynamics under Path Entropy Maximization

ArXi:2603.27880v1 Announce Type: cross We propose a variational framework in which the kernel function k: X x X -> R, interpreted as the foundational object encoding what distinctions an agent can represent, is treated as a dynamical variable subject to path entropy maximization (Maximum Caliber, MaxCal). Each kernel defines a representational structure over which an information geometry on probability space may be analyzed; a trajectory through kernel space. therefore.