1 citations · 1 across the 3 of their papers we have counts for
5 papers
Non-Commutativity in Geodesic Congruences
Aarav Shah, Louis H. Kauffman
We propose a geometric realization of spacetime non-commutativity where the spacetime manifold remains smooth while the commutation relation between tangent and separation vectors…
Multivariate Quandles as Groupoid Invariants
Xerxes D. Arsiwalla, Louis H. Kauffman
We introduce a new structural framework for constructing multivariate Alexander quandles based on a groupoid , composed of a disjoint union of delooping groupoids of deck…
Knot Logic and Arborescent Links
Louis H Kauffman
This paper introduces a new algebra, the crossing algebra, that is applied to count the number of components for arborescent knots, links, tangles or states (of a state polynomial…
Wormhole Nucleation via Topological Surgery in Lorentzian Geometry
Alessandro Pisana, Barak Shoshany, Stathis Antoniou +2
We construct a model for the nucleation of a wormhole within a Lorentzian spacetime by employing techniques from topological surgery and Morse theory. In our framework, a 0-surgery…
Preons, Braid Topology, and Representations of Fundamental Particles
David Chester, Xerxes D. Arsiwalla, Louis H. Kauffman
In particle phenomenology, preon models study compositional rules of standard model interactions. In spite of empirical success, mathematical underpinnings of preon models in terms…