Psychohistory and the Mathematics of Collapse: Fisher-Geometric Informational Realism Applied to the Iran–Israel/US Conflict System

This report presents the elaborated technical application of Fisher-Geometric Informational Realism (FGIR) and Fisher Information Field Theory (FIFT) to the Iran–Israel–US conflict system, diagnosed at Day Five of kinetic operations (4 March 2026), following the confirmed killing of Supreme Leader Khamenei on 28 February 2026 and the subsequent constitutional collapse of the Islamic Republic of Iran.

The document delivers two contributions. First, it provides a systematic mathematical formulation of FGIR/FIFT as a unified framework for metacybernetics, anticipatory systems modelling, and the quantitative diagnosis of collective agency, fulfilling Ludwig von Bertalanffy's unrealised ambition to develop a rigorous mathematics of general systems, through a deeper ontological foundation in Fisher Information geometry (Frieden, 1998), Bohm's implicate/explicate order, Maturana's autopoiesis, and Floridi's Informational Structural Realism. The framework is pre-quantum in ontological depth: quantum mechanics emerges as a residence invariant of FGIR rather than constituting its foundation.

Second, it applies this formalism to a psychohistorical case analysis — understood as the anticipatory modelling of collective behavioural dynamics across civilisational-scale informational geometries. The analysis characterises Iran's constitutional collapse as a Type IV/III hybrid: a sudden holographic rupture at the constitutional axis (the R(6) Supreme Leader node), pre-conditioned by prolonged Type III sustentative failure across the J, I, and K informational fields. The governing diagnostic object is the imperative curvature λ_imp = J/I, a Todd (time-irreversible) ratio whose asymptotic rise (combined with fragility curvature τ exceeding 1.5× baseline and symbolic pressure Π breaching the viability inequality) triggered the rupture flag before the first kinetic strike.

The report constructs anticipatory manifolds — probability distributions over trajectories, not point predictions — characterising three post-collapse configurations: Configuration A (Controlled Transition, ≈31%), Configuration B (Regional Escalation Cascade, ≈46%), and Configuration C (Global Order Fracture, ≈23%), with decade-ahead anticipations to 2036. A Day Six progression update (5 March 2026) is included. All diagnostic readings are proxy-inferred per the Proxy Principle (P17, FIFT) from a calibrated dataset including Reuters, CNN, NYT, Al Jazeera, ILTV, AP, BBC, Institute for the Study of War, Amnesty International, Human Rights Watch, and UN Human Rights Monitoring.