Symmetry in Cosmology ☯

Gravity is antisymmetric in a single-body system. Is a symmetric cosmological redshift caused by masses conceivable?
Consider two binary star systems. Let them be separated by such a great distance that their mutual gravitational influence is negligible. Each star is assumed to have the same mass as its counterpart. Consequently, the inner Lagrange points and the centers of mass are located at the midpoint positions A and C. At points A and C, there is no gravity and no local redshift. For an observer at B, however, if the stars possess sufficient mass, a redshift may be observed in the light coming from A or C. A and C lie within the observer's position of the respective other system. Here, too, it is possible to receive redshifted light from the other counterpart.
Yin and Yang, the cosine is a symmetric function, whereas the sine is antisymmetric. These functions differ only in the time component.

Ludwig Resch