Endogenous Collapse: Optimising for Fragility — The First Theorem of Possibility Space Theory

A system can be structurally intact and functionally collapsed. The alternatives are still on the map. They are no longer usable. Nothing was destroyed. The system spent them. This paper introduces Possibility Space Theory, a framework for describing dynamic constrained systems using a unified approach. It is substrate independent. It applies wherever constrained actualisation is the relevant dynamic: supply chains, financial networks, institutions, ecologies. And to the articulation between geopolitics and economics that first motivated it. Its central claim is that the board on which entities move is not a static stage. It is a structure reconfigured by the system's own history. Three operators, Access, Friction and Elasticity, capture the three temporal moments of any transition. What was available, what it cost, what remains. A Transition Theorem shows the decomposition is forced. The paper proves a non-trivial result within the framework. Under maintenance-by-use and bounded bandwidth, the strategy that minimises traversal cost monotonically increases the friction of the alternatives it forgoes. Access remains unchanged. Elasticity collapses. The collapse is endogenous, invisible, structural. It requires no external shock. This challenges the assumption that price signals capture systemic risk. Concentration on efficient routes atrophies alternatives and the collapse is invisible to the indicators used to monitor it. The framework does not replace existing tools. It gives them a common language. Written for researchers and practitioners working on systemic risk, complexity, network fragility, resilience and political economy. The framework was first developed in applied analysis of the 2026 Hormuz crisis. Related pieces: Twala, The Game of Hormuz or the Awakening of the Sahelocracy, Twala, 6 May 2026 https://twala.info/en/opinions-en/the-game-of-hormuz-or-the-awakening-of-the-sahelocracy Middle East Eye, How the Strait of Hormuz crisis is reshaping the old world order, 7 June 2026 https://www.middleeasteye.net/opinion/how-strait-of-hormuz-reshaping-world-order Rosa Luxemburg Stiftung, Hormuz in North Africa: The War for the Operators, 2 July 2026 https://rosaluxna.org/publications/hormuz-in-north-africa-the-war-for-the-operators