*I prefer this method. s = r * theta, where s is the arclength or separation distance of two galaxies residing on a circle of radius r, where theta is the angle subtended by s. Differentiating, ds/dt = dr/dt * theta + r * d(theta)/dt. Even if the expansion rate, dr/dt, is constant, the RHS is positive since the second term must be positive based on the physical assumption that d(theta)/dt must be positive (since the arclength s must be increasing as the universe expands). So, eventually, ds/dt will exceed the velocity of light, the condition that the galaxies will lose contact. Any flaws in this logic? AG*
*If the parameter r captures size of the universe, and if we assume it's expansion is constant, then dr/dt = 0 and the first term when differentiating s is zero. So the increase of ds/dt is completely captured in the second term. AG* You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/6093db62-898d-4a67-9c90-08b3467bf31bn%40googlegroups.com <https://groups.google.com/d/msgid/everything-list/6093db62-898d-4a67-9c90-08b3467bf31bn%40googlegroups.com?utm_medium=email&utm_source=footer> . -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/893aa7bf-dd6f-4da9-8c89-9a515cf78832n%40googlegroups.com.
