73 citations · 200 across the 36 of their papers we have counts for
4 papers · 1 filter
A Cosine Rule-Based Discrete Sectional Curvature for Graphs
J. F. Du Plessis, Xerxes D. Arsiwalla
How does one generalize differential geometric constructs such as curvature of a manifold to the discrete world of graphs and other combinatorial structures? This problem carries s…
On the Operator Origins of Classical and Quantum Wave Functions
Xerxes D. Arsiwalla, David Chester, Louis H. Kauffman
We investigate operator algebraic origins of the classical Koopman-von Neumann wave function as well as the quantum mechanical one . We introduce a formalism of O…
Heaps of Fish: arrays, generalized associativity and heapoids
Carlos Zapata-Carratala, Xerxes D. Arsiwalla, Taliesin Beynon
In this paper we investigate a ternary generalization of associativity by defining a diagrammatic calculus of hypergraphs that extends the usual notions of tensor networks, categor…
An Invitation to Higher Arity Science
Carlos Zapata-Carratala, Xerxes D. Arsiwalla
Analytical thinking is dominated by binary ideas. From pair-wise interactions, to algebraic operations, to compositions of processes, to network models, binary structures are deepl…