AIM Framework glossary

Network Timescale

Canonical definition

Network Timescale (\tauN\tauN). The Network Timescale is the cross-Individual Evidence-propagation timescale of the network layer of the three-layer formalism, emerging from the coupling strengths λij\lambda{ij} and κij\kappa{ij} rather than entering as a primitive parameter. Under weak-to-moderate coupling, \tauN\tauN satisfies the singular-perturbation ordering \tauM<\tauV<\tauS<\tauB≤\tauN\tauM < \tauV < \tauS < \tauB \leq \tauN and extends from minutes (synchronous communication) to years (institutional consensus). Under strong coupling near ρ(Koff)→\kappac\rho(K{off}) \to \kappac, \tauN\tauN approaches τB\tau_B and the three-scale separation collapses into the critical-slowing-down signature targeted by the Coupling-Decoherence Rate-of-Change Monitor.

Explanation

The Network Timescale tells you how quickly Evidence and Observability propagate across a population. It is not a fixed property of human cognition; it is a property of the network and its couplings. In a weakly-coupled population (sparse network, low-trust Evidence intake), Evidence propagates slowly and the network operates on a timescale that is orders of magnitude slower than within-Individual Belief updating. As coupling intensifies, the network speeds up. The diagnostic signature of approaching the Critical Coupling Strength is the collapse of the timescale separation: the network begins moving as fast as individual Beliefs do, and the critical-slowing-down signature of impending bifurcation becomes detectable in network-level autocorrelation and variance.

Epistemic status

Framework-Specific Parameter. Source: Appendix A.5.7.

Derivation

Appendix A, Section A.5.7.1.

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