The constancy of the ratio H(z)/(1 + z)asasign of low-energy quantum gravity

Abstract

The model of low-energy quantum gravity by the author is based on the conjecture on an existence of the graviton background with the aver- age graviton energy of the order of 10−3 eV. An interaction of photons and moving bodies with this background leads to small additional effects having essential cosmological consequences. Here, redshifts of remote ob- jects and the additional dimming of them may be interpreted without any expansion of the Universe. The theoretical luminosity distance of the model fits the observational Hubble diagrams with high confidence levels (100% for the SCP Union 2.1, 43% for JLA compilations, 99.81% for long GRBs, and 13.73% for quasars). In the model, the ratio H(z)/(1 + z) should be equal to the Hubble constant. This conclusion is confirmed with 99.9999% C.L. by fitting the compilation of 40 H(z) observations from the paper by Zhang and Xia [arXiv:1606.04398].