Holographic entanglement entropy and modular Hamiltonian in warped CFT in the framework of GMMG model

We study some aspects of a class of non-AdS holography where the 3D bulk gravity is given by generalized minimal massive gravity (GMMG). We consider the spacelike warped $$AdS_3$$ A d S 3 ($$WAdS_3$$ W A d S 3 ) black hole solution of this model where the 2d dual boundary theory is the warped conformal field theory (WFCT). The charge algebra of the isometries in the bulk and the charge algebra of the vacuum symmetries at the boundary are compatible and this is an evidence for the duality conjecture. Further evidence for this duality is the equality of entanglement entropy and modular Hamiltonian on both sides of the duality. So we consider the modular Hamiltonian for the single interval at the boundary in associated to the modular flow generators of the vacuum. We calculate the gravitational charge in associated to the asymptotic Killing vectors that preserve the metric boundary conditions. Assuming the first law of the entanglement entropy to be true, we introduce the matching conditions between the variables in two side of the duality and we find equality of the modular Hamiltonian variations and the gravitational charge variations in two sides of the duality. According to the results of the present paper we can say with more sure that the dual theory of the warped AdS3 black hole solution of GMMG is a Warped CFT.

Gravitational polarization of the quantum vacuum caused by two point-like bodies

ABSTRACT In a recent paper, quantum vacuum was considered as a source of gravity, and the simplest, phenomenon, the gravitational polarization of the quantum vacuum by an immersed point-like body, was studied. In this paper, we have derived the effective gravitational charge density of the quantum vacuum, caused by two immersed point-like bodies. Among others, the obtained result proves that quantum vacuum can have regions with a negative effective gravitational charge density. Hence, quantum vacuum, the ‘ocean’ in which all matter of the Universe is immersed, acts as a complex fluid with a very variable gravitational charge density that might include both positive and negative densities; a crucial prediction that can be tested within the Solar system. In the general case of ${N \ge {\rm{3}}}$ point-like bodies, immersed in the quantum vacuum, the analytical solutions are not possible, and the use of numerical methods is inevitable. The key point is that an appropriate numerical method, for the calculation of the effective gravitational charge density of the quantum vacuum induced by N immersed bodies, might be crucial in description of galaxies, without the involvement of dark matter or a modification of gravity. The development of such a valuable numerical method, is not possible, without a previous (and in this study achieved) understanding of the impact of a two-body system.

Mass or Energy: On Charge of Gravity

The gravitational charge should be the energy instead of the mass. This modification will lead to some different results, and the experiments to test the new idea are also presented. In particular, we figure out how to achieve the negative energy and repulsive gravitational force in the lab.

Mass or Energy? On Charge of Gravity

The gravitational charge should be the energy instead of mass. This modification will lead to some different results and the experiments to test are also presented. Especially, we propose a scheme to achieve the negative energy and gravitational repulsive force in the lab.

The Gap and the origin of the fundamental forces

The energy level where the best values of the three fundamental gauge couplings [Formula: see text] converge is at least two orders of magnitude below the Planck energy level. The existence of this Gap could imply that the gravitational force ‘comes into being’ before QED, QFD and QCD. The most interesting consequence of the Gap would then be the existence of matter whose charge is only the gravitational charge. If this is so, events should be detected where only gravitational waves are produced. Primordial black holes (PBHs) would be produced much more frequently than the standard black holes (SBHs) since SBHs would be ‘derivative’ effects produced later, after matter made with protons, electrons, neutrons, and stars can exist. Collisions between PBHs generating only gravitational waves should be more frequent than SBHs collisions.

Is the Higgs mechanism true to the equivalence principle?

In this paper, we raise and discuss the fundamental issue whether the interaction-induced inertia in the Higgs mechanism is the same as the charge of gravity or the gravitational mass. True physical mass has to fulfill the dual role of inertia and the gravitational charge, and should respect the weak equivalence principle. This is not yet addressed in the standard model that does not incorporate gravity. Hence, the Higgs scenario still requires a gravitational completion. Some relevant analogies where interaction-induced inertia is not the same as the gravitational charge are mentioned. Probing this line of thought will provide valuable clues and perhaps a remarkable answer to the place and role of gravity in the standard model of particle physics.