Question

In: Physics

Suppose you were transported to an alien universe where light traveled instantaneously from place to place (infnite speed).

 

Suppose you were transported to an alien universe where light traveled instantaneously from place to place (infnite speed). In this universe the relativistic effects of length contraction and time dilation

[a] would be the same as in your present world.

[b] become infnitely more pronounced than they are in your present world.

[c] become less pronounced than they are in your present world.

[d] would not exist.

Solutions

Expert Solution

Light traveling instantaneously means the speed of light is infinity.

In the universe where the speed of light is infinity, the relativistic effects

d) would not exist.

This is because the length contraction relation is
In the limit where c is infinity
Hence
Similarly, the time dilation relation becomes
which means the length doesn't get contracted and the time doesn't get dilated at all.

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