Lee-Yang Vector Field and Isotropy of the Universe

Abstract

Lee and Yang suggested that, associated with heavy-particle conservation, there may exist an analog of the electromagnetic field, a field for which nucleons and antinucleons would serve as positive and negative "charges." It is shown that the null result from a recent repetition of the Eötvös experiment implies that, if it exists, the Lee-Yang interaction is at most only ${10}^{-7\mathrm{}}$ of the gravitational interaction. This great weakness does not imply that the field does not exist. However, with the assumption of the isotropy of the average matter distribution of the universe, the Lee-Yang antisymmetric field tensor vanishes when averaged over sufficiently large volumes. This implies that, if the Lee-Yang field exists, nucleons and antinucleons are present in equal numbers in the universe, presumably gathered in matter and antimatter galaxies. However, it is found that the fact that a copious stream of $\gamma$ rays is not present in the cosmic rays can be used to exclude such numbers of antimatter galaxies. It is concluded that the Lee-Yang field probably does not exist.