17 citations · 135 across the 31 of their papers we have counts for
5 papers · 1 filter
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…
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…
Jordan algebras over icosahedral cut-and-project quasicrystals
Daniele Corradetti, David Chester, Raymond Aschheim +1
In this paper we present a general setting for aperiodic Jordan algebras arising from icosahedral quasicrystals that are obtainable as model sets of a cut-and-project scheme with a…
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…
Three Fibonacci-Chain Aperiodic Algebras
Daniele Corradetti, David Chester, Raymond Aschheim +1
Aperiodic algebras are infinite dimensional algebras with generators corresponding to an element of the aperiodic set. These algebras proved to be an useful tool in studying elemen…