2020-02-19|Sunatori's Hypothesis (Closed Universe with Non-Inverse-Square Law)
Potential Discovery or Invention
As for the "Dark Matter", would it be possible that if the universe were not flat but curved in space-time, then one of the following equations for the "inverse-square law" could explain the rotation of galaxies?
1 / (r ^ 1.999999...X)
1 / (r ^ 2.000000...X)
This is analogous to a curved triangle whose sum of 3 angles is not pi radian (180 degrees) in 2-dimensional space.
The equation also explains that there is no negative energy, and that the arrow of time and the arrow of entropy are in positive direction only.
I have recently learned that in the 19th century, Simon Newcomb and Asaph Hall determined that if Newton's inverse-square law were replaced with a law that says gravity falls off as one over the distance to the power of 2.0000001612, then Mercury's motion could be explained.
If the universe turned out to be curved, then this old theory could be resurrected?