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An alternative approach to Einstein's theory of General Relativity (GR) is reviewed, which is motivated by a range of serious theoretical issues inflicting the theory, such as the cosmological constant problem, presence of non-Machian…

General Physics · Physics 2016-07-13 Ram Gopal Vishwakarma

Einstein's theory of Brownian motion is revisited in order to formulate generalized kinetic theory of anomalous diffusion. It is shown that if the assumptions of analyticity and the existence of the second moment of the displacement…

Statistical Mechanics · Physics 2009-11-10 Sumiyoshi Abe , Stefan Thurner

We consider a tracer particle performing a random walk on a two-dimensional lattice in the presence of immobile hard obstacles. Starting from equilibrium, a constant force pulling on the particle is switched on, driving the system to a new…

Statistical Mechanics · Physics 2024-09-05 Dan Shafir , Alessio Squarcini , Stanislav Burov , Thomas Franosch

We explore in stochastic gravity theory whether non-Gaussian noises from the higher order correlation functions of the stress tensor for quantum matter fields when back-reacting on the spacetime may reveal hints of multi-scale structures.…

General Relativity and Quantum Cosmology · Physics 2017-09-13 B. L. Hu

It is generally argued that the combined effect of Heisenberg principle and general relativity leads to a minimum time uncertainty. Most of the analyses supporting this conclusion are based on a perturbative approach to quantization. We…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. Fernando Barbero G. , Guillermo A. Mena Marugan , Eduardo J. S. Villaseñor

We consider the generalized Langevin equation (GLE) in a harmonic potential with power law decay memory. We study the anomalous diffusion of the particle's displacement and velocity. By comparison with the free particle situation in which…

Probability · Mathematics 2023-08-02 Gustavo Didier , Hung D. Nguyen

One of the most basic tasks required for Quantum Information Technology is the ability to connect different components of a Quantum Computer by quantum wires that obey the superposition principle. Since superpositions can be very sensitive…

Quantum Physics · Physics 2009-04-16 Daniel Burgarth

We make the first steps towards a generic theory for energy spreading and quantum dissipation. The Wall formula for the calculation of friction in nuclear physics and the Drude formula for the calculation of conductivity in mesoscopic…

Condensed Matter · Physics 2009-10-31 Doron Cohen

Disorder, noise and interaction play a crucial role in the transport properties of real systems, but they are typically hard to control and study both theoretically and experimentally, especially in the quantum case. Here we explore a…

Quantum Gases · Physics 2013-09-12 C. D'Errico , M. Moratti , E. Lucioni , L. Tanzi , B. Deissler , M. Inguscio , G. Modugno , M. B. Plenio , F. Caruso

We construct both normal and anomalous deterministic biased diffusions to obtain the Einstein relation for their time-averaged transport coefficients. We find that the difference of the generalized Lyapunov exponent between biased and…

Statistical Mechanics · Physics 2013-05-30 Takuma Akimoto

We obtain hydrodynamic descriptions of a broad class of conserved-mass transport processes on a ring. These processes are governed by chipping, diffusion and coalescence of masses, where microscopic probability weights in their…

Statistical Mechanics · Physics 2017-07-06 Arghya Das , Anupam Kundu , Punyabrata Pradhan

Using the covariant approach and conformal transformations, we present a gauge-invariant formalism for cosmological perturbations in generalized Einstein theories (GETs), including the Brans-Dicke theory, theories with a non-minimally…

Astrophysics · Physics 2010-11-01 Toshinari Hirai , Kei-ichi Maeda

In this paper we establish a fractional generalization of Einstein field equations based on the Riemann-Liouville fractional generalization of the ordinary differential operator $\partial_\mu$. We show some elementary properties and prove…

General Physics · Physics 2010-03-26 Joakim Munkhammar

In this work, we investigate cosmologies where the gravitational constant varies in time, with the aim of explaining the accelerated expansion without a cosmological constant. We achieve this by considering a phenomenological extension to…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-18 Ekim Taylan Hanımeli , Brahim Lamine , Alain Blanchard , Isaac Tutusaus

The realization of the Einstein-Podolsky-Rosen effect by the correlation of spin projections of two particles created in the decay of a single scalar particle is considered for particles propagating in gravitational field. The absence of a…

Quantum Physics · Physics 2009-11-06 Horst von Borzeszkowski , Michael B. Mensky

Many disordered systems show a superdiffusive dynamics, intermediate between the diffusive one, typical of a classical stochastic process, and the so called ballistic behaviour, which is generally expected for the spreading in a quantum…

The Brownian motion of a point particle induced by quantum vacuum fluctuations of a massless real scalar field in Einstein's universe is studied. By assuming the small displacement condition, the dispersion in the momentum and position of a…

General Relativity and Quantum Cosmology · Physics 2024-04-09 E. J. B. Ferreira , H. F. Santana Mota

We construct new classes of modified theories in which the matter sector couples with the Einstein tensor, namely we consider direct couplings of the latter to the energy-momentum tensor, and to the derivatives of its trace. We extract the…

General Relativity and Quantum Cosmology · Physics 2023-05-17 Petros Asimakis , Spyros Basilakos , Andreas Lymperis , Maria Petronikolou , Emmanuel N. Saridakis

This work derives the elements of classical Einstein Cartan theory (EC) from classical general relativity (GR) in two ways. (I) Derive discrete versions of torsion (translational holonomy) and the spin torsion field equation of EC from one…

General Relativity and Quantum Cosmology · Physics 2022-05-31 Richard James Petti

Einstein's unified field theory is extended by the addition of matter terms in the form of a symmetric energy tensor and of two conserved currents. From the field equations and from the conservation identities emerges the picture of a…

General Relativity and Quantum Cosmology · Physics 2015-06-25 S. Antoci