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On the issue of gravitons

Leszek M. Sokolowski·Andrzej Staruszkiewicz
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Abstract

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 $E=\hbar ω$ 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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Leszek M. Sokolowski, Andrzej Staruszkiewicz. 2006-10-06. On the issue of gravitons. https://doi.org/10.1088/0264-9381%2F23%2F20%2F012

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