Generalized Crossing
Self-sustaining adoption requires spectral radius of the next-generation matrix exceeding one, not just cost parity.
Impact Score
Score Reasoning
- Importance
- The generalized R_0 crossing is the master activation threshold governing all four hierarchy levels. Core spine result -- nontrivial equilibrium iff cycle product > 1.
- Novelty
- Completely new framework adapting epidemiological R_0 to economic adoption thresholds via next-generation matrix. Cross-level amplification enabling sub-threshold activation is novel.
- Quality
- Excellent: clear NGM formulation, activation threshold theorem, cross-level amplification, calibration table, and five testable predictions. Longest article (7214 chars).