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This work aims to refine the understanding of macroscopic behaviors in open systems by introducing the Principle of Nonuniformity and exploring its implications for aggregation limits.

July 20, 2026Open Access

The Principle of Nonuniformity: From Binary Exponentials to the Completion of the Extreme-ValueChannel in Open Systems

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QLQinfu Li

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Implication

Theoretical exploration of aggregation channels in open systems, highlighting extreme-value combinations and their implications.

Key Points

This work aims to refine the understanding of macroscopic behaviors in open systems by introducing the Principle of Nonuniformity and exploring its implications for aggregation limits.
Developed an explanatory-diagnostic framework for open flow-through systems, emphasizing entropy production and structural nonuniformity.
Defined two nonequilibrium potentials using relative entropy for closed and open systems, respectively.
Introduced a master equation splitting the external forcing term into endogenous and exogenous components.
Established extreme-value aggregation as a fifth independent channel, classified by the Fisher–Tippett–Gnedenko theorem.
Completed the classification of aggregation limits, recognizing exponential, Gaussian, log-normal, power-law, and extreme-value forms.
Introduced a new dimensionless number to distinguish static from Red-Queen steady states, alongside observable scaling laws.

Cite This Study

Qinfu Li (2026) studied this question.

synapsesocial.com/papers/6a5dba3f8bd453d3397ab75f https://doi.org/10.5281/zenodo.21429983

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The Principle of Nonuniformity: From Binary Exponentials to the Completion of the Extreme-ValueChannel in Open Systems

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Implication

Key Points

Cite This Study

The Principle of Nonuniformity: From Binary Exponentials to the Completion of the Extreme-ValueChannel in Open Systems

Discussion

Member takes

Implication

Key Points

Cite This Study

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