{"id":"hexagon/2610.00678","pdf":"https://hexagonmath.org/pdf/2610.00678v1","url":"https://hexagonmath.org/abs/2610.00678v1","tags":["math.CT","math.DG","math.GR","math.MP","math.SG","msc:81T13","msc:18N60","msc:53Z05","msc:57R90","msc:68Q55"],"score":0,"title":"Geometric Computation: Twin Helices and the Algebra of Flow","domain":"math-ph","origin":"ai-generated","source":"hexagon","authors":["Benjamin Kaminsky"],"reviews":0,"subject":"math-ph","summary":"This work constructs a manifold consisting of twin helices to investigate the existence of computational geometric bordisms, as part of the broader program of the Cobordism Hypothesis. We use these structures to define a class of deterministic computational substrates, termed Geometrically Computable Manifolds, and study their geometric, algebraic, and computational properties. We show that, in a discrete regime, these manifolds encode arbitrary cyclic groups and support universal computation. This leads to a hypothesis describing the structural trade-offs in physical computation across…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-11-03","reactions":{},"withdrawn":false,"authorship":"mixed","formalized":false,"human_understanding":"all"}