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Since the early days of search for a quantum theory of gravity the attempts have been mostly concentrated on the quantization of an otherwise classical system. The two most contentious candidate theories of gravity, sting theory and quantum…

General Relativity and Quantum Cosmology · Physics 2009-07-24 Houri Ziaeepour

Development of quantum gravity theories rarely takes inputs from experimental physics. In this letter, we take a small step towards correcting this by establishing a paradigm for incorporating putative quantum corrections, arising from…

High Energy Physics - Theory · Physics 2018-01-30 Suddhasattwa Brahma , Michele Ronco

I propose a new and direct connection between classical mechanics and quantum mechanics where I derive the quantum mechanical propagator from a variational principle. This variational principle is Hamilton's modified principle generalized…

Quantum Physics · Physics 2009-12-15 John Hegseth

One of the predictions of quantum gravity phenomenology is that, in situations where Planck-scale physics and the notion of a quantum spacetime are relevant, field propagation will be described by a modified set of laws. Descriptions of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Luca Bombelli , Oliver Winkler

Among the available quantum gravity proposals, string theory, loop quantum gravity, non-commutative geometry, group field theory, causal sets, asymptotic safety, causal dynamical triangulation, emergent gravity are among the best motivated…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Aurélien Barrau

We investigate the cosmological background evolution and perturbations in a general class of spatially covariant theories of gravity, which propagates two tensor modes and one scalar mode. We show that the structure of the theory is…

General Relativity and Quantum Cosmology · Physics 2016-02-09 Tomohiro Fujita , Xian Gao , Jun'ichi Yokoyama

External gravitational fields induce phase factors in the wave functions of particles. The phases are exact to first order in the background gravitational field, are manifestly covariant and gauge invariant and provide a useful tool for the…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Giorgio Papini

En nous laissant guider par la notion de champ qui en fait domine toute la physique nous d\'efinissons la nature physique d'un syst\`eme, ses propri\'et\'es et ses \'etats possibles. Nous proposons alors un cadre tr\`es g\'en\'erale…

General Physics · Physics 2007-05-23 Constantin Piron

We discuss the theory of knots, and describe how knot invariants arise naturally in gravitational physics. The focus of this review is to delineate the relationship between knot theory and the loop representation of non-perturbative…

High Energy Physics - Theory · Physics 2008-11-26 Tomas Liko , Louis H. Kauffman

The inherent properties of specific physical systems can be used as metaphors for investigation of the behavior of complex networks. This insight has already been put into practice in previous work, e.g., studying the network evolution in…

Disordered Systems and Neural Networks · Physics 2014-08-15 Marco Alberto Javarone , Giuliano Armano

While the use of spin networks has greatly improved our understanding of the kinematical aspects of quantum gravity, the dynamical aspects remain obscure. To address this problem, we define the concept of a `spin foam' going from one spin…

General Relativity and Quantum Cosmology · Physics 2009-10-30 John C. Baez

A classical spin network consists of a ribbon graph (i.e., an abstract graph with a cyclic ordering of the vertices around each edge) and an admissible coloring of its edges by natural numbers. The standard evaluation of a spin network is…

Geometric Topology · Mathematics 2013-06-17 Stavros Garoufalidis , Roland van der Veen

We give a short review of the spin foam models of quantum gravity, with an emphasis on the Barret-Crane model. After explaining the shortcomings of the Barret-Crane model, we briefly discuss two new approaches, one based on the 3d spin foam…

High Energy Physics - Theory · Physics 2017-08-23 A. Mikovic

The last decade has witnessed substantial interest in protocols for transferring information on networks of quantum mechanical objects. A variety of control methods and network topologies have been proposed, on the basis that transfer with…

Quantum Physics · Physics 2012-08-14 Chris Godsil , Stephen Kirkland , Simone Severini , Jamie Smith

The propagation of an external transverse magnetic signal acting locally on a 1d chain of spins generates a disturbance which runs through the system. This quantum effect can be interpreted as a classical traveling wave which contains a…

Quantum Physics · Physics 2015-05-30 Jean Richert , Tarek Khalil

This paper is twofold. First of all a complete unified picture of $n$-dimensional quantum gravity is proposed in the following sense: In spin foam models of quantum gravity the evaluation of spin networks play a very important role. These…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Manuel Garcia-Islas

We study the dynamics of a particle in continuous time and space, the displacement of which is governed by an internal degree of freedom (spin). In one definite limit, the so-called quantum random walk is recovered but, although quite…

Quantum Physics · Physics 2009-11-10 Claude Aslangul

We introduce a model of a quantum walk on a graph in which a particle jumps between neighboring nodes and interacts with independent spins sitting on the edges. Entanglement propagates with the walker. We apply this model to the case of a…

Quantum Physics · Physics 2021-03-30 Kevissen Sellapillay , Alberto D. Verga

We describe explicitly how entanglement between quantum mechanical subsystems can lead to emergent gauge symmetry in a classical limit. We first provide a precise characterisation of when it is consistent to treat a quantum subsystem…

High Energy Physics - Theory · Physics 2022-09-12 Josh Kirklin

We expand a set of notions recently introduced providing the general setting for a universal representation of the quantum structure on which quantum information stands. The dynamical evolution process associated with generic quantum…

Quantum Physics · Physics 2009-11-10 Annalisa Marzuoli , Mario Rasetti