ABSTRACT: “All is Number”—the universe follows a few profound mathematical rules, and pure thought can grasp reality. This paper explores the first principles of fundamental physics, focusing on the ...

Abstract: The Landau–Lifshitz–Gilbert (LLG) equation for magnetization dynamics is recast into spinor form using the real-valued Clifford algebra (geometric algebra) of three-space. We show how the ...

The son of Creedence Clearwater Revival drummer Doug Clifford is accused of killing his girlfriend after her body was found this week off the side of a highway in Nevada, according to police and media ...

ABSTRACT: In this paper, from the spacetime algebra associated with the Minkowski space ℝ 3,1 by means of a change of signature, we describe a quaternionic representation of the split-tetraquaternion ...

This paper introduces an application of complex Clifford algebra in a representation of the quantum prisoner's dilemma. The authors propose a novel modification of the Eisert–Lewenstein–Wilkens ...

Is there more to Dirac’s gamma matrices than meets the eye? It turns out that gamma zero can be factorized into a product of three operators. This revelation facilitates the expansion of Dirac’s space ...

There are two ways to use this library. In both ways we first create a GeometricAlgebra instance given a metric. Then we can either work on torch.Tensor instances directly where the last axis is ...

We introduce Clifford Group Equivariant Neural Networks: a novel approach for constructing \(E(n)-\) equivariant networks. We identify and study the \(Clifford\) \(group\), a subgroup inside the ...