Cosmic horizon of 42-billion light-years?

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The observable universe extends to a distance of 42 billion light-years, despite the Big Bang occurring about 14 billion years ago, due to the expansion of space. As the universe expands, light from distant objects travels towards us, and the distance light has traveled is greater than the time since the Big Bang. The mathematical relationship defining the radius of the observable universe incorporates the speed of light and the age of the universe, confirming the 42 billion light-year measurement. This expansion allows us to observe regions of space that were once much closer to us. Understanding this concept is crucial for grasping the nature of cosmic distances and the universe's expansion.
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I recently read the new Scientific American and in one of the articles it says that the observable universe can see a distance of 42 billion light-years away but my question is that the big bang is predicted to have occurred at approximately 14 billion years ago, so how can the observable universe be 42 billion light-years?
 
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There is a well written FAQ on this:

https://www.physicsforums.com/showthread.php?t=506987

In mathematical terms, the radius of the observable universe is (REF: Introduction to Modern Cosmology, Eqn. A1.12):

ro = 3 c to

ro = radius of observable universe
c = speed of light in vacuum
to = age of universe

This formula will match your numbers.
 
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