The Dirac-Born-Infeld (DBI) Galileons are a generalization of the Galileon terms, which extend the internal Galilean symmetry to an internal relativistic symmetry, and can also be thought of as generalizations of DBI which yield second order field equations. We show that, when considered as local modifications to gravity, such as in the Solar System, there exists a region of parameter space in ...

Under the classical non-relativistic consideration of the space-time we propose the model of the laws of gravity and Electrodynamics, invariant under the galilean transformations and moreover, under every change of non-inertial cartesian coordinate system. Being in the frames of non-relativistic model of the space-time, we adopt some general ideas of the General Theory of Relativity, like the a...

We modify a Lie algebra expansion method recently introduced for the (2 + 1)dimensional kinematical algebras so as to work for higher dimensions. This new improved and geometrical procedure is applied to expanding the (3 + 1)-dimensional Galilei algebra and leads to its physically meaningful ‘expanded’ neighbours. One expansion gives rise to the Poincaré algebra, introducing a curvature −1/c in...

This article investigates an extension of General Relativity based upon a class of lifted metrics on the cotangent bundle of space-time. The dynamics of the theory is determined by a fixed section of the cotangent bundle, representing the momentum of a fluid flow, and Einstein’s equations for the fluid applied to the induced space-time metric on the submanifold of the cotangent bundle defined b...

We establish a construction for the entanglement wedge in asymptotically flat bulk geometries subsystems dual (1+1)-dimensional Galilean conformal field theories context of space holography. In this connection we propose definition cross section bipartite states such non relativistic theories. Utilizing our compute negativity through generalization an earlier proposal, usual AdS/CFT scenario, t...

We propose a new Doubly Special Relativity theory based on the generalization of the κ-deformation of the Poincaré algebra acting along one of the null directions. We recall the quantum Hopf structure of such deformed Poincaré algebra and use it to derive the phase space commutation relations. As in the DSR based on the standard quantum κ-Poincaré algebra we find that the space time is non-comm...

Systems with Hamiltonians of the form Ho(p) + Hi(q, p, t) are considered. A variational principle is proposed for defining that canonical transformation, continuously connected with the identity transformation, which minimizes the residual, coordinate-dependent part of the new Hamiltonian. The principle is based on minimization of the mean square generalized force over phase space and time. The...

The present article reviews the multiple applications of group theory to symmetry problems in physics. In classical physics, this concerns primarily relativity: Euclidean, Galilean, and Einsteinian (special). Going over quantum mechanics, we first note that basic principles imply state space a system has an intrinsic structure pre-Hilbert one completes into genuine Hilbert space. framework, des...

NASA's Galileo mission to Jupiter and improved Earth-based observing capabilities have allowed major advances in our understanding of Jupiter's moons Io, Europa, Ganymede, and Callisto over the past few years. Particularly exciting findings include the evidence for internal liquid water oceans in Callisto and Europa, detection of a strong intrinsic magnetic field within Ganymede, discovery of h...