I tiakina i:
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Kaituhi matua: Sørensen, Christopher B.
Hōputu: Recurso digital
Reo:Ingarihi
I whakaputaina: Zenodo 2025
Ngā marau:
Urunga tuihono:https://doi.org/10.5281/zenodo.17338575
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Rārangi ihirangi:
  • <p>Abstract</p> <p>Civilizations appear to renew themselves at a characteristic rhythm—through new rulers, institutions, and shared symbols.</p> <p>This study introduces an empirical relation, the Sørensen Leadership Constant, linking that rhythm to two measurable flows: energy and information.</p> <p>Across twelve societies from Rapa Nui to France and a modern post-industrial example (United States), the normalized renewal rate</p> <p> </p> <p>C_L = \frac{M}{TN}</p> <p> </p> <p>The result suggests that the tempo of cultural renewal behaves like a metabolic process—accelerating with surplus energy and strong communication, slowing when either dwindles.</p> <p> </p> <p>The model is falsifiable: if dispersion exceeds 25% under consistent normalization, the constant fails.</p> <p>When cross-cultural variance remains ≤15% under exponent perturbation (γ ∈ [0.20, 0.33]), it demonstrates law-grade behavior.</p> <p>This work extends allometric and information-scaling frameworks from biology and physics to human civilizations, offering a testable bridge between energy, information, and cultural resilience.</p>