What question did this study set out to answer?

To propose that W* = e⁻¹ is a universal critical exponent for a conjectured universality class related to coherence-fragility transitions.

May 22, 2026Open Access

W* = e⁻¹ as a Universal Critical Exponent: Towards a Universality Class for Coherence-Fragility Transitions

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Key Points

To propose that W* = e⁻¹ is a universal critical exponent for a conjectured universality class related to coherence-fragility transitions.
Analytically derived W* from a first-principles entropic flow equation.
Utilized multi-domain empirical evidence from fields such as nuclear safety, oncology, and cognitive science.
Support from various fields reinforces the conjecture of W* as a universal critical exponent, without the need for recalibration.

Abstract

The LESE framework derives W* = e⁻¹ analytically from a first-principles entropic flow equation. This paper proposes a formal conjecture: W* may be the critical exponent of a universality class U(coherence-fragility) that includes physical, biological, cognitive, and infrastructural systems. Multi-domain empirical evidence across nuclear safety, oncology, electricity grids, and cognitive science supports the conjecture without recalibration. Full derivations available upon request. Partial derivations: DOI 10.5281/zenodo.20034598.

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Galliano Brigo

Accenture (Italy)

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W* = e⁻¹ as a Universal Critical Exponent: Towards a Universality Class for Coherence-Fragility Transitions

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