https://doi.org/10.1140/epjs/s11734-021-00193-y
Regular Article
Long-range screening of gravitational interactions by scattering of particles of Dirac sea
Ladhyx (CNRS UMR 7646), Ecole Polytechnique, 91128, Palaiseau, France
Received:
1
March
2021
Accepted:
4
June
2021
Published online:
11
June
2021
According to observations, there is not enough visible mass to explain the rotation speed of stars in the galactic self-gravitating field. It has been noted that this involves gravity field orders of magnitude smaller than the one observed in our solar system and responsible for its dynamics. Therefore, it is natural to look for the strength of the gravitational interaction at distances much bigger than the size of our solar system. In 1934, Dirac and Heisenberg computed a (small) correction to the electrostatic potential of a proton due to the Dirac sea of electrons. This screening makes one contribution to the Lambshift measured in 1947. A similar “screening” exists when massive fermions are scattered by a gravity field. Amazingly, this introduces a very big “screening length” of astrophysical order of magnitude because of the smallness of Newton’s constant. The net result is a change of Newton’s gravitational forces at large distances. This does not introduce any new parameter like the mass of unseen particles interacting by gravitation only. Neither it implies a change of the laws of motion of Newton and Galileo.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2021
