The Civilizational Equation: V=N/D as a Predictive Model for Human Civilization's Future
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.
Authors
- Yoshihikaru Katayama
Institutions
- Genesis Research Institute (JP)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-04-10
- DOI
- https://doi.org/10.5281/zenodo.19491156
- Primary Topic
- World Systems and Global Transformations
- Type
- article
- Field-Weighted Citation Impact
- 0.00