Information-Cascade Amplification Effect

Canonical definition

The Information-Cascade Amplification Effect is the mechanism whereby PM-captured information infrastructure actively accelerates Confabulation Cascade convergence toward the criticality threshold (Pc), because editorial incentives optimised for M-engagement, rather than A-I function, produce systematically PM-inflated reference points that synchronise cascade direction across the population, with each cycle of PM-inflated reference-point propagation generating demand for further PM-captured information, creating a recursive amplification loop. At the network scale (Appendix A.5.7.5), the Information-Cascade Amplification Effect is the architectural consequence of the network-density dependence of the critical threshold: a denser graph of Evidence couplings has a larger spectral radius $\rho(K{off})$ at any given per-edge coupling weight, which carries the population toward the Critical Coupling Strength $\kappac$ without moving it, and a denser graph of observation raises $\rho(\Lambda)$ and lowers the threshold itself, both without any change in per-Individual receptivity. The density dependence holds while the Thinker's intake budget is slack; where it binds, the spectral radius is fixed by the budget, and the Effect operates by capturing a larger share of that budget for PM-captured channels rather than by density as such (Appendix A.5.7.4).