On the issue of gravitons

Details On the issue of gravitons On the issue of gravitons

2006-06-26

arxiv.org/abs/gr-qc/0606111v2

Class.Quant.Grav. 23 (2006) 5907-5918

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages. One phrase added

Scientific paper

10.1088/0264-9381/23/20/012

We investigate the problem of whether one can anticipate any features of the graviton without a detailed knowledge of a full quantum gravity. Assuming that in linearized gravity the graviton is in a sense similar to the photon, we derive a curious large number coincidence between the number of gravitons emitted by a solar planet during its orbital period and the number of its nucleons. In Einstein's GR the analogy between the graviton and the photon is ill founded. A generic relationship between quanta of a quantum field and plane waves of the corresponding classical field is broken in the case of GR. The graviton cannot be classically approximated by a generic pp wave nor by the exact plane wave. Most important, the ADM energy is a zero frequency characteristic of any asymptotically flat spacetime and this means that any general relationship between energy and frequency is a priori impossible. In particular the formula $E=\hbar \omega$ does not hold. The graviton must have features different from those of the photon and these cannot be predicted from classical general relativity.

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