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Register a new userGravitational redshift and the vacuum index of refraction
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A physical process of the gravitational redshift was described in an earlier paper (Wilhelm & Dwivedi 2014) that did not require any information for the emitting atom neither on the local gravitational potential U nor on the speed of light c. Although it could be shown that the correct energy shift of the emitted photon resulted from energy and momentum conservation principles and the speed of light at the emission site, it was not obvious how this speed is controlled by the gravitational potential. The aim of this paper is to describe a physical process that can accomplish this control. We determine the local speed of light c by deducing a gravitational index of refraction nG as a function of the potential U assuming a specific aether model, in which photons propagate as solitons. Even though an atom cannot locally sense the gravitational potential U (cf. Muller et al. 2010), the gravitational redshift will nevertheless be determined by U (cf. Wolf et al. 2010)- mediated by the local speed of light c.
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In the seventies, scientists observed discrepancies of the bending of light around the Sun based on Einsteins prediction of the curvature of star light due to the mass of the Sun. We claim that the interior electromagnetic properties of the Sun influence the curvature of the light path outside the Sun as well. In this paper, we investigate the additional deflection of light in the vacuum region surrounding the Sun by its electromagnetic parameters. Starting with Maxwells equations, we show how the deflection of light passing the Sun depends on the electric permittivity and the magnetic permeability of the interior of the Sun. The electromagnetic field equations in Cartesian coordinates are transformed to the ones in an appropriately chosen Riemannian space. This coordinate transform is dictated by the introduction of a refractional potential. The geodetic lines with the shortest propagation time are constructed from this potential. As far as the deflection of light propagating along these geodetic lines is concerned, we show that the existence of a refractional potential influences the light path outside any object with a typical refractive index. Our results add new aspects to the bending of star light explained by general relativity. Some astrophysical observations, which cannot be explained by gravity in a satisfactory manner, are justified by the electromagnetic model. In particular, the frequency dependency of the light deflection is discussed. We show that the additional bending due to the refractive index is proportional to the third power of the inverse distance. The general relativity predicts that the bending due to the mass is proportional to the inverse distance.
The cosmological constant problem is the principal obstacle in the attempt to interpret dark energy as the quantum vacuum energy. We suggest that the obstacle can be removed, i.e. that the cosmological constant problem can be resolved by assuming that the virtual particles and antiparticles in the quantum vacuum have the gravitational charge of the opposite sign. The corresponding estimates of the cosmological constant, dark energy density and the equation of state for dark energy are in the intriguing agreement with the observed values in the present day Universe. However, our approach and the Standard Cosmology lead to very different predictions for the future of the Universe; the exponential growth of the scale factor, predicted by the Standard Cosmology, is suppressed in our model.
The far-reaching gravitational force is described by a heuristic impact model with hypothetical massless entities propagating at the speed of light in vacuum and transferring momentum and energy be- tween massive bodies through interactions on a local basis. In the original publication (Wilhelm et al. 2013), a spherical symmetric emission of secondary entities had been postulated. The potential energy problems in gravitationally and electrostatically bound two-body systems have been studied in the framework of this im- pact model of gravity and of a proposed impact model of the electrostatic force (Wilhelm et al. 2014). These studies have indicated that an anti-parallel emission of a secondary entity - now called graviton - with respect to the incoming one is more appropriate. This article is based on the latter choice and presents the modifications resulting from this change. The model has been applied to multiple interactions of gravitons in large mass conglomerations in several publications. They will be summarized here taking the modified interaction process into account. In addition, the speed of photons as a function of the gravitational potential are considered in this context together with the dependence of atomic clocks and the redshift on the gravitational potential.
The understanding of the gravitational properties of the quantum vacuum might be the next scientific revolution.It was recently proposed that the quantum vacuum contains the virtual gravitational dipoles; we argue that this hypothesis might be tested within the Solar System. The key point is that quantum vacuum (enriched with the gravitational dipoles) induces a retrograde precession of the perihelion. It is obvious that this phenomenon might eventually be revealed by more accurate studies of orbits of planets and orbits of the artificial Earth satellites. However, we suggest that potentialy the best laboratory for the study of the gravitational properties of the quantum vacuum is the Dwarf Planet Eris and its satellite Dysnomia; the distance of nearly 100AU makes it the unique system in which the precession of the perihelion of Dysnomia (around Eris) is strongly dominated by the quantum vacuum.
Gravitational redshift is generally reported by most of the authors without considering the influence of the energy of the test particle using various spacetime geometries such as Schwarzschild, Reissner-Nordstrom, Kerr and Kerr-Newman geometries for static, charged static, rotating and charged rotating objects respectively. In the present work, the general expression for the energy dependent gravitational redshift is derived for charged rotating body using the Kerr-Newman geometry along with the energy dependent gravitys rainbow function. It is found that the gravitational redshift is influenced by the energy of the source or emitter. One may obtain greater correction in the value of gravitational redshift, using the high energy photons. Knowing the value of gravitational redshift from a high energy sources such as Gamma-ray Bursters (GRB), one may obtain the idea of upper bounds on the dimensionless rainbow function parameter ($xi$). Also there may be a possibility to introduce a new physical scale of the order of $frac{xi}{E_{Pl}}$.
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