41 citations · 241 across the 34 of their papers we have counts for
19 papers · 1 filter
Qubits and oriented matroids in four time and four space dimensions
J. A. Nieto
We establish a connection between 4-rebits (real qubits) and the Nambu-Goto action with target `spacetime' of four time and four space dimensions ((4+4)-dimensions)). We motivate t…
Complexified sigma model and duality
J. A. Nieto
We show that the equations of motion associated with a complexified sigma-model action do not admit manifest dual SO(n,n) symmetry. In the process we discover new type of numbers w…
Qubits and chirotopes
J. A. Nieto
We show that qubit and chirotope concepts are closely related. In fact, we prove that the qubit concept leads to a generalization of the chirotope concept, which we call qubitope.…
Oriented matroid theory and loop quantum gravity in (2+2) and eight dimensions
J. A. Nieto
We establish a connection between oriented matroid theory and loop quantum gravity in (2+2) (two time and two space dimensions) and 8-dimensions. We start by observing that supersy…
SL(2,R)-Symmetry and Noncommutative Phase Space in (2+2) Dimensions
J. A. Nieto
We generalize the connection between 2t physics and noncommutative geometry. In particular, we apply our formalism to a target spacetime of signature (2+2). Specifically, we comput…
Towards a Background Independent Quantum Gravity in Eight Dimensions
J. A. Nieto
We start a program of background independent quantum gravity in eight dimensions. We begin by considering canonical gravity \textit{a la} "Kaluza-Klein" in dimensions. We s…