---
alias: probability of observation, prob
tags: cyber, core
crystal-type: measure
crystal-domain: cyber
---
the probability that the collective intelligence observes a particle, given the equilibrium of [[diffusion]] (exploration), [[springs]] (structure), and [[heat]] (context)
the Boltzmann distribution at the tri-kernel fixed point:
$$\phi^*_i \propto \exp(-\beta[E_{\text{spring},i} + \lambda E_{\text{diff},i} + \gamma C_i])$$
particles at lower free energy get higher prob. applies to all particles β content-particles and axon-particles alike
prob answers: given everything the system knows about structure, flow, and context β how likely is this particle to matter?
cyberank is the rank score. prob is the number. value is prob Γ cap. karma is prob aggregated per neuron
see prob for the derivation from the tri-kernel functional
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