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Convergent Discovery of Critical Phenomena Mathematics Across Disciplines

arxiv.org

4 points by energyscholar 4 months ago · 3 comments

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energyscholarOP 4 months ago

Author here. We documented how researchers in 6+ fields independently derived equivalent math for detecting tipping points — power grids, markets, cardiac rhythms, neural networks, traffic — mostly without knowing about each other's work.

The interesting question: which fields SHOULD be using this but aren't yet?

Supply chains. Cybersecurity. Software architecture. Chronic disease progression. Insurance. Urban infrastructure. All deal with cascade failures and tipping points. None have imported the formalism.

Plain-language version: Appendix B (page 17). Happy to answer questions.

Paper: https://arxiv.org/abs/2601.22389 Site: https://freethemath.org

  • Kim_Bruning 4 months ago

    The site is low on content and notably doesn't even hyperlink the paper. Your HN post is actually more substantial. ;-)

    Is this an 'Opus Christmas Project'? (It feels like one!)

    What new does this bring to chaos theory and nonlinear dynamics?

Kim_Bruning 4 months ago

more comments https://news.ycombinator.com/item?id=46935104

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