agreement between independent descriptions of the same thing
in the cybergraph, consistency means: when two neurons link the same particle, their signals either reinforce each other (increasing cyberank) or contradict (diluting focus across competing claims). the tri-kernel resolves every contradiction into a single collective focus distribution — no ambiguity survives convergence
why consistency is inevitable
three forces make inconsistency unsustainable:
costly signal: every cyberlink costs focus. maintaining a false claim burns finite resources against a graph that will eventually down-rank it. truth is cheap to maintain, lies are expensive
bayesian truth serum: rewards predictions that match the crowd's private distribution. neurons who report honestly earn karma, neurons who distort lose it. honesty is the dominant strategy
contraction mapping: the tri-kernel is a proven contraction (κ < 1). regardless of initial state, the graph converges to a unique fixed point π*. inconsistent signals get absorbed into the equilibrium — they shift it slightly but cannot prevent convergence
the result: consistency across the cybergraph is a nash equilibrium maintained by game theory, computed by mathematics, and enforced by economics
see consensus for the process that produces consistency. see collective focus theorem for the convergence proof
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