176 citations · 1.3k across the 156 of their papers we have counts for
6 papers · 1 filter
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…
A Construction for Clifford Algebras
Louis H. Kauffman
This paper is dedicated to the memory of Zbigniew Oziewicz, to his generosity, intelligence and intensity in the search that is science and mathematics. The paper begins with a bas…
Eigenforms and Quantum Physics
Louis H. Kauffman
This essay is a discussion of Heinz von Foerster's concept of eigenform and its relationship with the foundations of physics.
Non-Commutative Worlds and Classical Constraints
Louis H. Kauffman
This paper reviews results about discrete physics and non-commutative worlds and explores further the structure and consequences of constraints linking classical calculus and discr…
Octonions
Jonathan Hackett, Louis H. Kauffman
In this paper we review the topological model for the quaternions based upon the Dirac string trick. We then extend this model, to create a model for the octonions - the non-associ…
Virtual Extension of Temperley--Lieb Algebra
Yong Zhang, Louis H. Kauffman, Mo-Lin Ge
The virtual knot theory is a new interesting subject in the recent study of low dimensional topology. In this paper, we explore the algebraic structure underlying the virtual braid…