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How can something be 12 billion light years away in a 14 billion year old universe?

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How can something be 12 billion light years away in a 14 billion year old universe?

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Upon first glance, it would seem that the light has been traveling for 12 billion years from something that started off 12 billion light years away in a 14 billion year old universe. That would leave only two billion years for the object to separate 12 billion light years from us, which means it would have to travel 6 times faster than the speed of light (on average), which is against the “law” of relativity. This seems to be a paradox. The answer is that space itself expands. This can be explained using a two-dimensional analogy to try to explain the effect (which actually occurs in three dimensional space). This analogy just illustrates the point – it is not to meant to be taken literally. Picture a balloon that is deflated. Now, draw two dots 2 centimeters apart on the surface of the balloon. Now, pretend light travels at a speed of 1 centimeter per second on this balloon. Let’s say at some time, a signal gets emitted from one of the “dots”. (This is analogous to the source emitting

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