The Sørensen Leadership Constant: Energetic and Informational Scaling in the Renewal of Civilization
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| Format: | Recurso digital |
| Sprache: | Englisch |
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2025
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| _version_ | 1866902191047966720 |
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| author | Sørensen, Christopher B. |
| author_facet | Sørensen, Christopher B. |
| contents | <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> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17338575 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Sørensen Leadership Constant: Energetic and Informational Scaling in the Renewal of Civilization Sørensen, Christopher B. Sørensen Constant, leadership renewal, scaling laws, complexity science, energy flow, information theory, cultural evolution, systems theory, entropy, resilience modeling, anthropological physics, sustainability transitions, historical dynamics, civilization cycles, statistical regularities <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> |
| title | The Sørensen Leadership Constant: Energetic and Informational Scaling in the Renewal of Civilization |
| topic | Sørensen Constant, leadership renewal, scaling laws, complexity science, energy flow, information theory, cultural evolution, systems theory, entropy, resilience modeling, anthropological physics, sustainability transitions, historical dynamics, civilization cycles, statistical regularities |
| url | https://doi.org/10.5281/zenodo.17338575 |