17 citations · 135 across the 31 of their papers we have counts for
5 papers · 1 filter
Quantization of a New Canonical, Covariant, and Symplectic Hamiltonian Density
David Chester, Xerxes D. Arsiwalla, Louis Kauffman +2
We generalize Koopman-von Neumann classical mechanics to poly-symplectic fields and recover De Donder-Weyl theory. Comparing with Dirac's Hamiltonian density inspires a new Hamilto…
Dixon-Rosenfeld Lines and the Standard Model
David Chester, Alessio Marrani, Daniele Corradetti +2
We present three new coset manifolds named Dixon-Rosenfeld lines that are similar to Rosenfeld projective lines except over the Dixon algebra $\mathbb{C}\otimes\mathbb{H}\otimes\ma…
Quantum Gravity at the Fifth Root of Unity
Marcelo Amaral, Raymond Aschheim, Klee Irwin
We consider quantum transition amplitudes, partition functions and observables for 3D spin foam models within quantum group deformation symmetry, where the deformation para…
Off-Diagonal Deformations of Kerr Metrics and Black Ellipsoids in Heterotic Supergravity
Sergiu I. Vacaru, Klee Irwin
Geometric methods for constructing exact solutions of motion equations with first order corrections to the heterotic supergravity action implying a non-trivial Yang-Mi…
Quantum walk on a spin network
M. M. Amaral, R. Aschheim, Klee Irwin
We apply a discrete quantum walk from a quantum particle on a discrete quantum spacetime from loop quantum gravity and show that the related Entanglement Entropy can drive a entrop…