High School Is an infinite universe compatible with cyclic models?

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SUMMARY

The discussion centers on the compatibility of an infinite universe with cyclic models, specifically the Big Bounce theory. The Big Bounce posits that the universe undergoes alternating periods of expansion and contraction, leading to a continuous series of Big Bangs. However, the concept of an infinite universe raises questions about the feasibility of an infinite amount of matter contracting into a singular point, which appears impossible. The theory suggests that quantum phenomena could facilitate the bounce while maintaining finite density throughout an infinite spatial universe.

PREREQUISITES
  • Understanding of Big Bounce theory
  • Familiarity with concepts of cosmic expansion and contraction
  • Knowledge of quantum mechanics and its implications for cosmology
  • Basic grasp of the structure of the universe and its infinite nature
NEXT STEPS
  • Research the implications of quantum mechanics on cosmological models
  • Explore alternative cyclic models beyond the Big Bounce
  • Investigate the concept of infinite density in cosmology
  • Study the relationship between cosmic expansion and contraction in theoretical physics
USEFUL FOR

Astronomers, theoretical physicists, cosmologists, and anyone interested in the fundamental nature of the universe and its cyclical behavior.

TheHeraclitus
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TL;DR
If space is flat and infinite are cyclic models possible? The answer seems intuitively no but I wonder if it's correct.
Cyclic models for reference.
I will take simple Big Bounce as an example of what I have in mind.
In Big Bounce there periods of expansion and periods of contraction which result in a never-ending series of Big Bangs. However if Universe is infinite in extent this would require infinite amount of matter would have to contract into one point but that seems impossible.
 
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The big bounce implies that quantum things cause the bounce while the universe still has finite density. That could happen everywhere in a spacially infinite universe - in the same way that a big bang can.
 
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