At what distance does the rate of expansion exceed the speed of light in the universe? Using Hubble's law.

Question

To nyphdinmd (Thank you):

You used a lower rate of expansion at 55 km/sec/Mpc than I did. I used 71 km/sec/Mpc (44 miles).
I tried to convert your answer to non-Metric (English) and came up with 16.3 billion lightyears.
I came up with 12.68 billion lightyears, again using a higher rate of expansion.
So this would mean an object in the universe emitting light that is presently at a distance of 12.68 - 16.3 billion lightyears would never reach our telescopes. Is that correct?

Could you (anyone) figure out....
At first light after the big bang (some 13-15 billion years ago), what is the most distant object's light that would reach the earth if given an infinite amount of time?

Answer 1

If you take H0 = 55 km/s/Mpc and v = H0*d letting v = c

d = c/H0 = 5.5 Gpc = 17.8 kly = 1.68 x 10^20 m

Answer 2

This "typical velocity shrink" purely applies to rely. no longer something with a mass can attain are exceed the cost of light. particular relativity proves that some relatively unusual issues might happen if any mass have been sped up in the direction of the cost of light. Its mass might become countless, as might the potential mandatory to develop up it. So its very impossible. Massless debris, like easy, can easily pass swifter than the de facto velocity of light in a vacuum. in laboratory settings physicists have sped up a beam of light previous "c" shifting by a chamber ob super cooled cesium gas. the develop of the universe has no longer something to do with rely easily shifting. you need to think of of the universe as composed of no longer purely rely and potential, yet of area and time. area and time are relatively issues. The early develop of the universe, the era regular as inflation, become a ramification of area, no longer a pass of rely. Its like drawing 2 dots on a rubber band after which stretching the rubber band. The dots are nevertheless placed on the comparable spot on the rubber band, however the gap between them has greater. this is how the universe expands.

Answer 3

The answer is just about 14 billion Light years.
The differential of speed from Hubble's Law is about 71 kilometers per second per Megaparsec.