Gravity An Electromagnetic Effect

If we start with the idea that gravity may be an electromagnetic effect, we are led to the assumption that the graviton may be composed of two photons. A two-photon state could have spin 0,1 and 2. Photons can interact with other photons through virtual electronpositron pairs created in vacuum. The existence of photon-photon interactions was first proposed in 1934 by O. Halpern, see Phys. Rev. 44(1934)855. In non-commutative spaces, photons show a selfinteracting behavior like the one known from QCD, so that photon-photon bound states (spin 0,1 and 2) are possible.(1) Which is exactly the math used behind brane theory is the basis of our idea. We already know that the amplitudes for low energy photon-photon scattering are negative if the outgoing photons have the same polarization(2). In QFT, the exchange of a single particle between two scattering particles is known to result in the Yukawa potential. For massless particle exchange between charged particles the Yukawa potential goes over to a Coulomb-like potential with an 1/r behavior. If the graviton were a twophoton composite, two photons would be coupling at each of the two vertices, giving a potential proportional to

times

where the minus sign would be due to the (even) spin of the exchanged particle. The reason I bring this up is the missing KK series Neutrinos have a certain decay mode in interactions with other SM neutrinos that yield a 2 photon decay product..

An empirical estimate for K is given below. If these ideas would be correct, the Coulomb law would have to be modified to

and the following equality would exist

Therefore for the gravitational interaction between identical and charged, elementary particles we would have

However, in our case this would be modified by the coupling of neutrino charge into the two photon state leaving us with a charged graviton. This would introduce gravomagnetism into the equation and allow us to have a carrier capable of inducing the weyl fluid properties we are after here. In establishing his correspondence between gravity and the electromagnetic field, based primarily on causality and the effects of retardation, Jefimenko8 , in Causality Electromagnetic Induction and Gravity, choses the equivalencies:

And

The term is defined here as the gravitational equivalent to the electrostatic permittivity of the vacuum

as the gravitational equivalent

to the magnetic permeability of the vacuum. are the speed of gravity. This fits well with a lot of our original PV ideas. The gravitational equivalent to Coulomb’s law:

We then can compute the permeability of space to cogravity:

and the permittivity of space to gravity:

But this would all be in keeping with a lot of our PV modeling. However, we already have a non-PV based formula that shows how charge would effect the Weyl Fluid and in turn modify the Israel condition.

REFERENCES 1.) A. H. Fatollahi and A. Jafari, Eur. Phys. J. 46(2006)235 2.) V. B. Berestetskii, E. M. Lifshitz, L. P. Pitaevskii, Quantum Electrodynamics, Pergamon Press, Oxford 1982

3.)