Concentrative Causality: A Theory of Resonant Transformation in Complex Systems at Bifurcation Points

Why does a specific micro-event trigger a large-scale transformation, while another, similar event does not? Existing frameworks—from Lorenz to Prigogine—explain why complex systems are sensitive to small perturbations, but leave a foundational gap: they provide no mechanism linking a particular trigger to a particular transformation scale and direction. This paper introduces Concentrative Causality to fill this gap. We propose that a trigger is not external noise, but a historically structured entity—a node of convergence of the system's own macro-past. Systemic vulnerabilities, shaped by the same path-contingent, macro-historical processes, share a common origin with the triggers that activate them. When they meet at a bifurcation point, their structural fit produces topological resonance—a relational match that determines the scale and direction of the ensuing transformation. We formalize this mechanism through the concepts of trigger profile, vulnerability profile, and positionality, demonstrating that topological resonance always occurs within a common system, thereby ruling out action at a distance. The theory is built on nine axioms, differentiated from five existing frameworks, and includes explicit falsifiability criteria. We illustrate the mechanism through the lens of the 2008 financial crisis.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-13
DOI
https://doi.org/10.5281/zenodo.20544696
Primary Topic
Ecosystem dynamics and resilience
Type
preprint
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preprint

Concentrative Causality: A Theory of Resonant Transformation in Complex Systems at Bifurcation Points

Ekaterina Fialko
Zenodo (CERN European Organization for Nuclear Research)
Ecosystem dynamics and resilience
preprint

Concentrative Causality: A Theory of Resonant Transformation in Complex Systems at Bifurcation Points

Ekaterina Fialko
preprint en

Abstract

Why does a specific micro-event trigger a large-scale transformation, while another, similar event does not? Existing frameworks—from Lorenz to Prigogine—explain why complex systems are sensitive to small perturbations, but leave a foundational gap: they provide no mechanism linking a particular trigger to a particular transformation scale and direction. This paper introduces Concentrative Causality to fill this gap. We propose that a trigger is not external noise, but a historically structured entity—a node of convergence of the system's own macro-past. Systemic vulnerabilities, shaped by the same path-contingent, macro-historical processes, share a common origin with the triggers that activate them. When they meet at a bifurcation point, their structural fit produces topological resonance—a relational match that determines the scale and direction of the ensuing transformation. We formalize this mechanism through the concepts of trigger profile, vulnerability profile, and positionality, demonstrating that topological resonance always occurs within a common system, thereby ruling out action at a distance. The theory is built on nine axioms, differentiated from five existing frameworks, and includes explicit falsifiability criteria. We illustrate the mechanism through the lens of the 2008 financial crisis.

Zenodo (CERN European Organization for Nuclear Research)
Ecosystem dynamics and resilience
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Concentrative Causality: A Theory of Resonant Transformation in Complex Systems at Bifurcation Points — Ekaterina Fialko · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS