the conserved quantity of cyber — the mechanism through which relevance emerges
attention is finite. the sum of all focus equals 1 — emphasizing one thing defocuses everything else. focus is the input: a probability distribution $\pi$ over particles that flows, regenerates, and is consumed. relevance is the output: the judgment that emerges when focus reaches equilibrium
the stationary vector of the token-weighted random walk, computed by the tri-kernel. regenerates proportionally to stake, consumed by cyberlinks. threshold sets the minimum focus a link needs to affect ranking
focus serves three roles simultaneously:
| Role | Mechanism |
|---|---|
| Attention | High-focus computations scheduled first |
| Fuel | Computation consumes focus |
| Consensus weight | Focus distribution = agreement signal |
conservation makes every allocation a real choice. polarization is mechanically limited because amplifying one particle defocuses all others. cognitive overload is filtered because the threshold ensures only particles with sufficient collective backing affect ranking
when focus converges, it produces relevance: cyberank per particle, karma per neuron, syntropy of the whole. the tru is the relevance machine that performs this computation
see relevance for what focus computes. see collective focus theorem for convergence proofs. see tri-kernel for the operators. see focus flow computation for full protocol specification
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