2006/06/30 by Leszek M. Sokolowski, Leszek M Sokołowski, Andrzej Staruszkiewicz · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Field (mathematics) #General relativity #Gravitational wave #Graviton #Photon #Plane (geometry) #Quantum #Quantum and Classical Electrodynamics #Spacetime #gr-qc
paper · pdf · doi:10.1088/0264-9381/23/20/012
published as Class.Quant.Grav. 23 (2006) 5907-5918 · 14 pages. One phrase added
openalex publication_date 2006/09/20 · arxiv created 2006/10/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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=ℏ ω does not hold. The graviton must have features different from those of the photon and these cannot be predicted from classical general relativity.