Universal fractal structure and the infinite universe

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The discussion explores the concept of the universe potentially having a universal fractal structure, suggesting that both the infinitely large and small may exhibit self-similar patterns. It posits that continuous subdivision could allow for infinite structures within finite spaces, challenging the notion of finite space itself. The idea is presented that our universe could be just one layer in a hierarchy of larger, self-similar structures, akin to how galaxies are nested within super-universes. Additionally, the conversation touches on the possibility that subatomic particles may also possess fractal-like structures. Overall, the theory invites further exploration into the implications of fractals in understanding the universe's nature.
Iam.HG
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Disclaimer: I am a science buff – not a scientist.

I am curious to know if there has ever been a theory developed about the infinite nature of the universe, large and small, relating to a fractal structure.

I was pondering fractal subdivision, and how it offers at least the theoretical possibility for infinity to exist within a seemingly finite space through continuous subdivision. Which if true, would in fact, render the whole idea of finite space, a myth.

I know that it has been jokingly said that inside each atom - could be a universe, and so, our universe could be just an atom ect.. ect. That is not what I am asking about.

However, it does seem obvious to the casual observer that the very small and the very large structures in our known universe seem to have a self similar and repetitive appearance. So if we are seeing a universal fractal structure, it possible that “the universe” is an ever enlarging set of structures that are self similar and repeating, continuing the similar design of our planetary systems, solar systems and galaxies?

Could the universe as we conceive of it, a mass of galaxies in an expanding space, merely be the next structure up? And then above that there is a super universe with a self similar in structure, which in turn is just one of billions of super-universes making up the next level?.. you see where I am going.

I seem to remember that the Milky Way Galaxy was once thought to be THE Universe. It was not that long ago. But then advanced telescopes revealed that what we thought of as THE UNIVERSE – was merely the next structure up from our solar system.

If it were true, that there is a universal fractal structure, of course it would follow that like the universe, the atom is infinitely structured downward - into sub particles which have a self similar structure. By that theory, quarks, not only would have, but must have sub particles, and those particles must have sub structure and so on.

I understand that these tiny substructures, like the massive ones, might not be subject to the same laws of physics as we understand, or as we have defined them - but that would be more of function of our understanding rather than anything else.

Anyway, I am just throwing this out for dissection and discussion.
 
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I was pondering fractal subdivision, and how it offers at least the theoretical possibility for infinity to exist within a seemingly finite space through continuous subdivision. Which if true, would in fact, render the whole idea of finite space, a myth.

I don't think your conclusion follows from your statement. But the whole area of fractals IS enough to give one considerable pause...

See this article as an example...

http://en.wikipedia.org/wiki/How_Lo...ical_Self-Similarity_and_Fractional_Dimension

You might also find this read of interest:
http://en.wikipedia.org/wiki/Fractal_geometry

Also, NOVA (PBS science TV in the USA) is currently running an hour program on fractals ..I only saw a biological segment but it was interesting...has the word FRACTALS in the title,,,

enjoy
 
We know with fair certainty the universe is observationally finite - at least back to the surface of last scattering [~ 400,000 years after the big bang]. All bets are off at that point. Extrapolating beyond that is currently little more than speculation.
 
I always thought it was odd that we know dark energy expands our universe, and that we know it has been increasing over time, yet no one ever expressed a "true" size of the universe (not "observable" universe, the ENTIRE universe) by just reversing the process of expansion based on our understanding of its rate through history, to the point where everything would've been in an extremely small region. The more I've looked into it recently, I've come to find that it is due to that "inflation"...

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