Published April 28, 2026 | Version 1.0
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Geometry of Critical Transition: A New Language for Clinical Cardiology

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Standard clinical markers measure current state but do not estimate system resilience to phase transition. Patients with identical LVEF, heart rate, and blood pressure may be at fundamentally different distances from the decompensation threshold. We apply the geometric framework of Vector Interaction Theory (VIT) to describe the cardiovascular system as a geometric object in multidimensional phase space. In this view, reduced heart rate variability, loss of fractal complexity, and paradoxical patient stability are not isolated phenomena but manifestations of phase volume contraction, fragility accumulation, and approaching a critical threshold. We formulate testable predictions using open PhysioNet data and discuss why aggressive arrhythmia suppression (similar to CAST) may be more dangerous than the symptom itself.

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Geometry of Critical Transition_A New Language for Clinical Cardiology.pdf

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Preprint: 10.5281/zenodo.19321984 (DOI)