tri-kernel.md

trikernel
cyber core pattern cyber
π 0.14% 33 words · 1 min

three local operators whose fixed point is cyberank: diffusion explores via random walks, springs restore structural consistency, heat smooths across scales. the tru runs them on the cybergraph, producing focus

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soft3/tru/docs/explanation/tri-kernel
The Tri-Kernel Architecture Why three operators -- diffusion, springs, heat -- are the minimal, sufficient basis for collective intelligence on authenticated graphs. The Discovery: Elimination Under Locality The tri-kernel was discovered through systematic elimination. Beginning with a…
soft3/tru/specs/tri-kernel
Tri-Kernel Specification Formal definition of the three local operators whose fixed point is cyberank. The convergence and uniqueness result in §3 is the collective focus theorem. Part of the tru specification. 1. The Three Operators 1.1 Diffusion (Markov) The transition matrix $P = D^{-1}A$ (or…
cybics/crystal/tri-kernel
Tri-Kernel Specification formal definition of the three local operators whose fixed point is cyberank. part of the cyber/core specification 1. The Three Primitives 1.1 Primitive M: Markov/Diffusion The transition matrix M = D⁻¹A (or column-stochastic P = AD⁻¹) governs probability flow:…

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