Four papers introduce a new poset algebra, revealing relations and predictions in combinatorial structures, suggesting new insights into algebraic properties.
Four papers and computational engine establishing the Poset Algebra A(P) — a new algebraic family generated by Bender-Knuth toggles on linear extensions, with universal relation D(D-2)(D+2)=0. Contains: (1) V-shape characterization of the braid relation, (2) Poset Algebra definition and universal functor, (3) obstruction cohomology with quantized eigenvalues and spectral hierarchy, (4) physical observables including parameter-free mass predictions. Includes ladder.rs computational engine with 765x benchmark speedup.
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Juan Pablo Silva Alvarado (2026) studied this question.
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