boud, 1 year ago

@cartographer @stephenserjeant @NatureAstronomy

Could galaxy motions detect #CosmicTopology ?

Yes: #TopologicalAcceleration is known since 2007 [1]. But Newtonian approx. to gravity in S^3 requires replacing

F ∝ 1/r^2

by

F ∝ 1/(sin r)^2

and 1/(sin r)^2 in S^3 gives paradox: repulsive point mass @antipode [2]. A better Newtonian-like limit is needed. For a hint see [3][4]. :)

[1] https://ui.adsabs.harvard.edu/abs/2007A%26A...463..861R

[2] https://ui.adsabs.harvard.edu/abs/2009A%26A...502...27R

[3] https://arxiv.org/abs/2201.09102

[4] https://codeberg.org/boud/topoaccel