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Events in Minkowski space-time can be obtained from the intersection of two twistors with no helicity. These can be represented within the geometric (Clifford) algebra formalism, in a particular conformal space that is constructed from a…

Mathematical Physics · Physics 2007-05-23 Elsa Arcaute , Anthony Lasenby , Chris Doran

We investigate a model in which spinors are considered as being embedded within the Clifford algebra that operates on them. In Minkowski space $M_{1,3}$, we have four independent 4-component spinors, each living in a different minimal left…

High Energy Physics - Theory · Physics 2013-02-05 Matej Pavsic

We generalize the notion of a dielectric analog Schwarzschild black hole model to analog models of arbitrary space-times; in particular, the approach is not restricted to static space-times. This is done by establishing a correspondence…

General Relativity and Quantum Cosmology · Physics 2011-01-20 Robert T. Thompson , Jörg Frauendiener

Suppose we assume that (a) information about a black hole is encoded in its Hawking radiation and (b) causality is not violated to leading order in gently curved spacetime. Then we argue that spacetime cannot just be described as a manifold…

High Energy Physics - Theory · Physics 2017-11-22 Samir D. Mathur

It is well known that nonrelativistic quantum mechanics presents a clear asymmetry between space and time. Much of this asymmetry is attributed to the lack of Lorentz invariance of the theory. Nonetheless, a recent work [Phys. Rev. A…

Quantum Physics · Physics 2017-12-12 Ricardo Ximenes , Eduardo O. Dias

We investigate one of the consequences of the twisted Poincare symmetry. We derive the charge conservation law and show that the equivalence principle is satisfied in the canonical noncommutative spacetime. We applied the twisted Poincare…

High Energy Physics - Theory · Physics 2008-11-26 Youngone Lee

We interpret, in the realm of relativistic quantum field theory, the tangential operator given by Coleman, Mandula as an appropriate coordinate operator. The investigation shows that the operator generates a Snyder-like noncommutative…

Mathematical Physics · Physics 2018-08-29 Albert Much , José David Vergara

It is shown that properties of a discrete space-time geometry distinguish from properties of the Riemannian space-time geometry. The discrete geometry is a physical geometry, which is described completely by the world function. The discrete…

General Physics · Physics 2012-01-17 Yuri A. Rylov

We note that the existence of physical states which are coherent superpositions of states with even and odd numbers of fermions means the existence, together with x,y,z,t, of additional spinor dimensions of space-time. A system with…

High Energy Physics - Theory · Physics 2009-11-10 A. F. Andreev

Introducing a class of SU(2) invariant quantum unitary circuits generating chiral transport, we examine the role of broken space-reflection and time-reversal symmetries on spin transport properties. Upon adjusting parameters of local…

Statistical Mechanics · Physics 2025-05-21 Lenart Zadnik , Marko Ljubotina , Žiga Krajnik , Enej Ilievski , Tomaž Prosen

We offer further evidence that discreteness of the sort inherent in a causal set cannot, in and of itself, serve to break Poincar{\'e} invariance. In particular we prove that a Poisson sprinkling of Minkowski spacetime cannot endow…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Fay Dowker , Rafael D. Sorkin

We revisit the construction of models of quantum gravity in d dimensional Minkowski space in terms of random tensor models, and correct some mistakes in our previous treatment of the subject. We find a large class of models in which the…

High Energy Physics - Theory · Physics 2024-08-26 Tom Banks , Willy Fischler

We extend the non-perturbative time-dependent bosonic string action of [3] to a N=1 supersymmetric world sheet action with graviton background, and assume a superpotential, function of the time super coordinate.

High Energy Physics - Theory · Physics 2007-05-23 Jean Alexandre

Spacetime manifolds that are not time orientable play a key role in a gravitational explanation of quantum theory. Such manifolds allow topology change, but also have fascinating additional properties such as net charge from source-free…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mark J Hadley

We write down a general action principle for spinning strings in 2+1 dimensional space-time without introducing Grassmann variables. The action is written solely in terms of coordinates taking values in the 2+1 Poincare group, and it has…

High Energy Physics - Theory · Physics 2016-09-06 B. Harms , A. Stern

We show a gravitational spin-orbit interaction that can potentially modify the space-time geometry naturally emerges in the framework of Poincar\'e gauge theory. For this purpose, we derive the field equations of a particular model with…

General Relativity and Quantum Cosmology · Physics 2026-01-23 Sebastian Bahamonde , Jorge Gigante Valcarcel

A unified description of all interactions could be based on a higher-dimensional theory involving only spinor fields. The metric arises as a composite object and the gravitational field equations contain torsion-corrections as compared to…

High Energy Physics - Theory · Physics 2009-02-20 A. Hebecker , C. Wetterich

This relativistic, time-travel spacetime is everywhere metrically flat, excepting a conical singularity. Observers following timelike geodesics can eventually encounter their past selves, aging in the opposite time sense. The spacetime is…

General Relativity and Quantum Cosmology · Physics 2024-12-24 John D. Norton

This paper establishes two things in an asymptotically (anti-)de Sitter spacetime, by direct computations in the physical spacetime (i.e. with no involvement of spacetime compactification): (1) The peeling property of the Weyl spinor is…

General Relativity and Quantum Cosmology · Physics 2020-04-30 Vee-Liem Saw , Freeman Chee Siong Thun

The conservation law for the orbital plus spin angular momentum of a free Dirac particle in curved spacetime requires that the affine connection has the antisymmetric part: the torsion tensor, which extends general relativity to the…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Nikodem Popławski
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