## The Constancy of the Ratio H(z)/(1 + z) as a Sign of Low-Energy Quantum Gravity

**Authors:** Michael A. Ivanov

The model of low-energy quantum gravity by the author is based on
the conjecture on an existence of the graviton background with the
average 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 objects 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].

**Comments:** 5 pages; poster contribution to the Xth International Conference on the Interconnection between Particle Physics and Cosmology (PPC 2016), 11-15 July 2016, São Paulo, Brazil

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### Submission history

[v1] 2016-10-01 09:27:55

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