Theorem demonstrates environmental coverage in collective systems, implying optimization in team composition.
Theorem (Diversity Coverage) + Proposition (Instability Propagation) + 3 Falsifiable Predictions. Extends receiver framework to collective systems C = {R_1, ..., R_n} with explicit inter-receiver coupling W. The collective stability potential V_C = sum V(R_i, E) + kappa_C * sum W_ij * V(R_i,E)*V(R_j,E). Theorem: environmental coverage is monotonically increasing in receiver diversity sigma_R, saturating at critical sigma_R*. Proposition: a receiver in overload increases effective entropy for adjacent receivers through behavioral noise injection; cascade conditions identified. Three Predictions about team composition matching, diversity outperformance in high-entropy environments, cascade thresholds. Applications: family dynamics, workplace teams, multi-agent reinforcement learning, educational settings. Three structural limitations documented (coupling matrix unspecified, coupling dynamics not modeled, receiver adaptation not modeled). Inherits from Paper 9.
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Travis Bergen (2026) studied this question.
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