We found the same mathematical structure — operator kernels with specific symmetry properties — appearing independently in physics (phase transitions), finance (market crashes), ecology (extinction cascades), neuroscience (neural criticality), and network science (cascade failures).
Each field derived it from first principles. Each named it differently. Minimal cross-citation. The paper traces the convergent discovery and asks: if the same structure keeps emerging, what does that tell us about how we organize knowledge? Freethemath.org is our summary for non-specialists.
The paper isn't arguing this should stop — domain-specific derivation produces genuinely useful adaptations. But the lack of a shared catalog means each field is also rediscovering failure modes and limitations that others already solved.
That's what we're trying to build at freethemath.org — not "here's the abstract math, figure it out," but "here's the same structure as it appears in YOUR field, with worked examples." Appendix B of the paper (page 17) is our first attempt at that bridge.
