three local operators whose fixed point is cyberank
- diffusion — explore via random walks
- springs — structural consistency via screened Laplacian
- heat — adaptation via graph heat kernel
the only operator families that survive the locality constraint required for planetary-scale computation. the tru runs the tri-kernel on the cybergraph in consensus, producing focus per particle
$$\phi^{(t+1)} = \text{norm}\big[\lambda_d \cdot D(\phi^t) + \lambda_s \cdot S(\phi^t) + \lambda_h \cdot H_\tau(\phi^t)\big]$$
- cyber/tri-kernel — formal specification
- tri-kernel architecture — why these three operators
- collective focus theorem — convergence proofs
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