3 papers
math.RA2023
All Hurwitz Algebras from 3D Geometric Algebras
Daniele Corradetti, Richard Clawson, Klee Irwin
Hurwitz algebras are unital composition algebras widely known in algebra and mathematical physics for their useful applications. In this paper, inspired by works of Lesenby and Hit…
gr-qc2023
Quasicrystalline Spin Foam with Matter: Definitions and Examples
Marcelo Amaral, Richard Clawson, Klee Irwin
In this work, we define quasicrystalline spin networks as a subspace within the standard Hilbert space of loop quantum gravity, effectively constraining the states to coherent stat…
quant-ph2001
Dynamic and Geometric Phase Formulasin the Hestenes-Dirac Theory
David W. Dreisigmeyer, Richard Clawson, R. Eykholt +1
We examine the dynamic and geometric phases of the electron in quantum mechanics using Hestenes' spacetime algebra formalism. First the standard dynamic phase formula is translated…