The Civilizational Equation: V=N/D as a Predictive Model for Human Civilization's Future
Year: 2026
Type: article
Abstract: Every civilization in history has eventually collapsed or transformed. This paper proposes that all theories of civilizational collapse — resource depletion, political corruption, military overextension, climate change — describe the same underlying phenomenon: D (friction) growth exceeding N (productive output) growth, driving V (value) toward zero. Using the formula V=N/D, this paper examines three historical collapses (Rome, Ming Dynasty, Soviet Union), diagnoses contemporary civilization as currently in a D-acceleration phase, and identifies a bifurcation between two mathematically possible futures: a D collapse scenario and a D=0 phase transition scenario. The paper argues that the difference between these futures is not destiny but design — a choice being made in this decade.
Author: Katayama, Yoshihikaru
Language: English
Subfield: Sociology and Political Science
Field: Social Sciences
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W7153354433
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