y] of the non-singular potential appear to diverge in opposite directions, where those of the Newtonian potential exhibit a week periodic motion in time.
5] where in the case of the Newtonian potential we have that [micro][S.
2] by means of a comparision with the Newtonian potential
, but this identification is rather dubious.
When H, V, E' represents gravitational Planck constant, Newtonian potential, and the energy per unit mass of the orbiting body, respectively, and :
Therefore, taking this proposition seriously, then one comes to hypothesis that there shall be coupled Newtonian potential, instead of only equation (3).
It also can be shown that Finsler-Berwald-Moor metric is equivalent with pseudo-Riemannian metric, and an expression of Newtonian potential
can be found for this metric [2a].
There gravity is described by the Newtonian potential
energy field [PHI](r, t), such that g = -[nabla][PHI], and we have for a "free-falling" quantum system, with mass m,
General Relativity predicts the existence of relativistic corrections to the static Newtonian potential which can be calculated and verified experimentally.
The existence of a universal long distance quantum correction to the Newtonian potential should be relevant for a wide class of gravity theories.
Logarithmic potential, Newtonian potential
, balayage, inverse balayage, linear optimization, duality, Chebychev constant, extremal problem.
Furthermore, from astrophysics one knows that spiral galaxies do not follow Newtonian potential
Furthermore, one cannot assign the value of the constant appearing in the Schwarzschild lineelement to the Newtonian potential
in the infinitely far field because Schwarzschild space is asymptotically Minkowski space, not asymptotically Special Relativity and not asymptotically Newtonian dynamics.