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#ultrametric — Public Fediverse posts

Live and recent posts from across the Fediverse tagged #ultrametric, aggregated by home.social.

  1. New paper: "The Tree and Its Echo" — ultrametric organization from pre-numeric first principles.

    Before numbers: marks on a bone. Three primitives: correspondence, order, nesting. Hierarchy without metrics.

    The independence assumption is the fallacy. Baseline convergence: similarity is the default, not the exception. Tree = residual. P0 PASSED (p<0.001).

    DOI: 10.5281/zenodo.20348370

    #Mathematics #Physics #ComplexSystems #SpinGlasses #Ultrametric #Phylogenetics #Science

  2. New: "The Primordial Mark" — one operation (drawing a distinction) generates the ultrametric tree underlying spin glasses, p-adic numbers, QCD jets, and the Classification of Finite Simple Groups.

    The CFSG is exhaust. The engine is the Mark.

    🔗 doi.org/10.5281/zenodo.20369071

    #LawsOfForm #SpencerBrown #ultrametric #pAdic #CFSG #consilience

  3. New: "The Primordial Mark" — one operation (drawing a distinction) generates the ultrametric tree underlying spin glasses, p-adic numbers, QCD jets, and the Classification of Finite Simple Groups.

    The CFSG is exhaust. The engine is the Mark.

    🔗 doi.org/10.5281/zenodo.20369071

    #LawsOfForm #SpencerBrown #ultrametric #pAdic #CFSG #consilience

  4. New: "The Primordial Mark" — one operation (drawing a distinction) generates the ultrametric tree underlying spin glasses, p-adic numbers, QCD jets, and the Classification of Finite Simple Groups.

    The CFSG is exhaust. The engine is the Mark.

    🔗 doi.org/10.5281/zenodo.20369071

    #LawsOfForm #SpencerBrown #ultrametric #pAdic #CFSG #consilience

  5. The same ultrametric tree—where every triangle is isosceles—appears in spin glasses, QCD jets, phylogenetics, p-adic numbers, and cognition. New synthesis traces one pattern from physics to perception: "More become one; one becomes more; repeat." doi.org/10.5281/zenodo.20329583

    #Physics #Mathematics #Consilience #Ultrametric #Hierarchy #Cognition