8 citations · 33 across the 13 of their papers we have counts for
13 papers
Gauge-covariant Hamilton equations for teleparallel equivalents of general relativity
David Chester, Vipul Pandey
We construct a gauge-covariant Hamiltonian formulation for the metric and symmetric teleparallel equivalents of general relativity. When treating torsion and nonmetricity as genera…
Three Dixon-Rosenfeld Planes
David Chester, Alessio Marrani, Daniele Corradetti +1
Rosenfeld postulated ``generalized'' projective planes, which exploit a correspondence between rank-one idempotents of Jordan algebras and points of pr…
Flipped GUT with conformal gravity from a single supermultiplet
David Chester, Alessio Marrani, Michael Rios +1
The Grassmann envelope is used to find the `superquasiconformal' algebra in . The adjoint representation of this algebra is found to contain $\mathfrak{su}_…
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…
A magic approach to octonionic Rosenfeld spaces
Alessio Marrani, Daniele Corradetti, David Chester +2
In his study on the geometry of Lie groups, Rosenfeld postulated a strict relation between all real forms of exceptional Lie groups and the isometries of projective and hyperbolic…
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…
Exploiting Anyonic Behavior of Quasicrystals for Topological Quantum Computing
Marcelo Amaral, David Chester, Fang Fang +1
We show that quasicrystals exhibit anyonic behavior that can be used for topological quantum computing. In particular, we study a correspondence between the fusion Hilbert spaces o…
Character varieties and algebraic surfaces for the topology of quantum computing
Michel Planat, Marcelo M. Amaral, Fang Fang +3
It is shown that the representation theory of some finitely presented groups thanks to their character variety is related to algebraic surfaces. We make use of t…
Octonionic Planes and Real Forms of G2, F4 and E6
Daniele Corradetti, Alessio Marrani, David Chester +1
In this work we present a useful way to introduce the octonionic projective and hyperbolic plane through the use of Veronese vectors. Then we focus on their relation with the excep…
Holographic Code Rate
Noah Bray-Ali, David Chester, Dugan Hammock +3
Holographic codes grown with perfect tensors on regular hyperbolic tessellations using an inflation rule protect quantum information stored in the bulk from errors on the boundary…