Key result
Universal Polarity Condition provides a mathematically consistent framework for polarity in open dynamical systems.
Why the study?
Descriptions of polarity across physics, biology, and complex systems are typically domain-specific and lack a unifying structural condition that applies across scales.
Opens a new modeling lens for polarity; leaves open validation in cardiovascular systems.
Across physics, biology, and complex systems, polarity is often described as an emergent property arising from interaction between components. However, such descriptions are typically domain-specific and lack a unifying structural condition that applies across scales. This document proposes a minimal, domain-agnostic formulation — termed the Universal Polarity Condition — describing when polarity can arise in an open dynamical system. The condition does not assert truth, proof, or completeness. Instead, it presents a mathematically consistent structural requirement observed to recur across multiple domains, including magnetism, fertilization, and general dynamical systems. The formulation distinguishes between the presence of components and the existence of a future-bearing polarity, emphasizing the role of symmetry, impulse, and axis locking. The framework is intended as a conceptual and operational lens rather than a definitive theory.
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Tess Fries (2026) studied this question. The Universal Polarity Condition provides a mathematically consistent framework for understanding polarity in open dynamical systems across various domains.
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