How can the universe be infinite, if it has a finite age?

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SUMMARY

The discussion centers on the paradox of an infinite universe existing within a finite age of approximately 13.7 billion years. Participants explore the concept that the universe may have had infinite spatial volume at the Big Bang, despite its observable universe being finite and expanding. Key points include the distinction between the "observable universe" and the entirety of the universe, which may extend infinitely beyond our observational limits. The conversation also touches on the implications of a finite yet boundless universe, as described by Carl Sagan, and the ongoing expansion of the universe as predicted by NASA.

PREREQUISITES
  • Understanding of cosmology concepts, including the Big Bang theory.
  • Familiarity with the terms "observable universe" and "infinite spatial volume."
  • Basic knowledge of the universe's expansion and its implications.
  • Awareness of Carl Sagan's contributions to popular science regarding the universe.
NEXT STEPS
  • Research the concept of "observable universe" and its limitations in cosmology.
  • Study the implications of the universe's expansion as outlined in NASA's findings.
  • Explore Carl Sagan's theories on finite but boundless universes.
  • Investigate the mathematical models that describe infinite universes in cosmology.
USEFUL FOR

Students of cosmology, astrophysicists, and anyone interested in the philosophical implications of the universe's size and expansion.

Thomas1989
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Morning everyone,

I apologize for bringing up a topic that has probably been discussed to death here in the past. I've been reading the FAQ, and a few old threads about finite vs infinite universe, but I'm still struggling to grasp both of these ideas. I'd be really grateful if someone could help me better understand them, I have just a few questions.

My first question is, how is it possible to have an infinite universe if we know it has only been around for 13.7 billion years? Is it possible that the universe had infinite spatial volume even during the Big Bang, as it was first expanding? How does this make sense? This is something that actually kept me awake last night. :shy:

I'm also stuck on the idea of a finite universe, though this seems a bit easier to comprehend than an infinite one. I watched a YouTube video of Carl Sagan explaining a finite but boundless universe, followed by a video on how the universe is expanding. I also read an article by NASA which predicted that the universe will expand forever! Here is the link, just in case. http://www.dailymail.co.uk/sciencetech/article-1304684/Nasa-scientists-discover-Universe-expand-forever.html

What I'd like to know is, does it even make sense to say the universe is finite, even though it is still expanding and will continue to expand forever? I have a mental picture of a sphere constantly inflating, but this is probably very wrong. I suppose while I'm at it, I'd like to throw in the question, does the universe need to be curved to be finite?

Thanks for your time.
 
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Its possible that the universe was infinite at the big bang and so it will still be infinite now. When cosmologists say the universe is expanding what they mean is the distance between galaxies is growing over time; not that the universe has a certain known size which is growing over time. When they say the universe was small at the big bang they mean the "observable universe" which does have a known size and is growing over time. But we can't say that for what is beyond our horizon. The universe is bigger than what we can see, infinitely bigger? Maybe.
 

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