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In this paper we consider a large system of Bosons or Fermions. We start with an initial datum which is compatible with the Bose-Einstein, respectively Fermi-Dirac, statistics. We let the system of interacting particles evolve in a…

Analysis of PDEs · Mathematics 2007-05-23 Dario Benedetto , François Castella , Raffaele Esposito , M. Pulvirenti

We studied the low energy motion of particles in the general covariant version of Horava-Lifshitz gravity proposed by Horava and Melby-Thompson. Using a scalar field coupled to gravity according to the minimal substitution recipe proposed…

High Energy Physics - Theory · Physics 2011-12-22 Elcio Abdalla , Alan M. da Silva

The spectral triple approach to noncommutative geometry allows one to develop the entire standard model (and supersymmetric extensions) of particle physics from a purely geometry stand point and thus treats both gravity and particle physics…

High Energy Physics - Theory · Physics 2010-10-27 William Nelson , Joseph Ochoa , Mairi Sakellariadou

We show that the gauge hierarchy problem can be solved in the framework of scalar-tensor theories of gravity very much in the same way as it is solved in the Randall-Sundrum scenario. Our solution involves a fine-tuning of the gravitational…

High Energy Physics - Phenomenology · Physics 2008-11-26 Xavier Calmet

We investigate the relation between quantum nonlocality and gravity at the astrophysical scale, both in the classical and quantum regimes. Considering particle pairs orbiting in the strong gravitational field of ultra-compact objects, we…

General Relativity and Quantum Cosmology · Physics 2023-12-05 Luciano Petruzziello , Fabrizio Illuminati

In this communication we discuss the Weak Field Approach, and in particular the Newtonian limit, applied to f(R)-Gravity. Particular emphasis is placed on the spherically symmetric solutions and finally, it is clearly shown that General…

General Relativity and Quantum Cosmology · Physics 2010-10-04 A. Stabile , S. Capozziello

Gravitational self-interactions are assumed to be determined by the covariant derivative acting on the Riemann-Christoffel field strength. Once imposed on a metric theory, this Yang-Mills gauge constraint extends the equality of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jean-Marc Gerard

We consider a class of nearest-neighbor weakly asymmetric mass conservative particle systems evolving on $\mathbb{Z}$, which includes zero-range and types of exclusion processes, starting from a perturbation of a stationary state. When the…

Probability · Mathematics 2016-08-14 Patrícia Gonçalves , Milton Jara , Sunder Sethuraman

We provide a quantum field theoretic derivation of Einstein's Weak Equivalence Principle of general relativity using a new quantum gravity theory proposed by the authors called Electro-Magnetic Quantum Gravity or EMQG (ref. 1). EMQG is…

General Physics · Physics 2007-05-23 Tom Ostoma , Mike Trushyk

We show that, as a result of non-linear self-interactions, it is feasible, at least in light of the bounds coming from terrestrial tests of gravity, measurements of the Casimir force and those constraints imposed by the physics of compact…

High Energy Physics - Phenomenology · Physics 2008-11-26 David F. Mota , Douglas J. Shaw

Emergent modified gravity is a post-Einsteinian gravitational theory where spacetime geometry is not fundamental but rather emerges from the gravitational degrees of freedom in a non-trivial way. The specific relationship between geometry…

General Relativity and Quantum Cosmology · Physics 2024-12-23 Martin Bojowald , Erick I. Duque , S. Shankaranarayanan

Starting from the unmixed Lagrangian, the electro-weak radiative corrections are recomputed using symmetrical generalised functions. All gauge bosons acquire an indeterminate mass. Electro-weak mixing is obtained by diagonalization of the…

High Energy Physics - Phenomenology · Physics 2008-02-03 J. J. Lodder

We analyze the features of the Minkowskian limit of a particular non-analytical f(R) model, whose Taylor expansion in the weak field limit does not hold, as far as gravitational waves (GWs) are concerned. We solve the corresponding Einstein…

General Relativity and Quantum Cosmology · Physics 2014-10-24 Donatella Fiorucci , Orchidea Maria Lecian , Giovanni Montani

The weak equivalence principle is studied in a space with noncommutativity of coordinates and noncommutativity of momenta. We find conditions on the parameters of noncommutativity which give the possibility to recover the equivalence…

General Relativity and Quantum Cosmology · Physics 2017-06-27 Kh. P. Gnatenko , V. M. Tkachuk

Interest has focussed recently on low energy implications of a nontrivial scale invariant sector of an effective field theory with an IR fixed point, manifest in terms of ``unparticles'' with peculiar properties. If unparticle stuff exists…

High Energy Physics - Phenomenology · Physics 2008-12-30 Haim Goldberg , Pran Nath

A fundamental spacetime scale in the universe leads to noncommutative spacetime and thence to a modified energy - momentum dispersion relation or equivalently to a modification of Lorentz symmetry as shown by the author and others. This…

General Physics · Physics 2009-01-27 Burra G. Sidharth

In the framework of special relativity, all particles are point-like or string-like. This nature of particles has caused the divergence difficulties in quantum field, string and superstring theories. In the framework of special relativity,…

General Physics · Physics 2007-05-23 Jian-Miin Liu

Gauging of space translations for nonrelativistic point particles in one dimension leads to general coordinate transformations with fixed Newtonian time. The minimal gauge invariant extension of the particle velocity requires the…

High Energy Physics - Theory · Physics 2009-10-31 P. C. Stichel

The standard argument for the validity of Einstein's equivalence principle in a non-relativistic quantum context involves the application of a mass superselection rule. It is surprising that the consistency between such an important…

Quantum Physics · Physics 2014-02-17 H. Hernandez-Coronado , E. Okon

In this paper, based on the Standard Model Extended gauge sector, we made a non-minimal coupling in the Klein-Gordon equation which characterizes the Lorentz symmetry violation and, through this nonminimal CPT-odd coupling, we investigate…

High Energy Physics - Theory · Physics 2019-08-13 Ricardo L. L. Vitória , Humberto Belich