Is the Universe Truly Unbounded?

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Discussion Overview

The discussion revolves around the concept of whether the universe is truly unbounded or if it has some form of boundary. Participants explore various mathematical and philosophical implications of bounded versus unbounded spaces, referencing models from geometry and cosmology.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification
  • Mathematical reasoning

Main Points Raised

  • Some participants argue that geometric shapes like triangles, squares, and spheres imply the existence of something outside of them, suggesting a bounded nature.
  • Others introduce the idea of finite yet unbounded spaces, citing examples like the 2D surface of the Earth and the concept of a spherical Flatland.
  • A theory is mentioned that posits our universe may exist within a black hole, which could imply the existence of parallel universes.
  • Some participants express skepticism about the black hole theory, emphasizing that it is not widely accepted in the current standard model of cosmology.
  • There are discussions about the implications of mathematical limits at infinity and how they relate to the concept of boundaries in the universe.
  • Participants debate the validity of the Big Bang theory as a starting point for the universe, with some suggesting it may not be the first event in a cosmic cycle.
  • Critiques are made regarding popular science communication, particularly concerning the ideas presented by physicist Michio Kaku.
  • Some participants emphasize the importance of scientific methods and philosophical inquiry in understanding these concepts.

Areas of Agreement / Disagreement

There is no clear consensus among participants. While some express agreement on certain points, significant disagreement remains regarding the nature of the universe, the validity of the Big Bang theory, and the interpretations of speculative ideas presented by popular science figures.

Contextual Notes

Participants reference various mathematical and philosophical concepts, but there are unresolved assumptions regarding the definitions of boundedness and unboundedness. The discussion also reflects differing levels of familiarity with cosmological theories and mathematical reasoning.

Who May Find This Useful

This discussion may be of interest to those exploring cosmology, geometry, philosophical implications of scientific theories, and the intersection of mathematics and physics.

homeylova223
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I mean look at a triangle or a square or even a sphere kind of has something outside of it. Even a circle does.
 
Space news on Phys.org
http://www.math.brown.edu/~banchoff/STG/ma8/papers/leckstein/Cosmo/properties.html
It may at first seem strange to speak of a space which is both unbounded and finite, but we shall see that many such shapes exist. Consider a spherical Flatland. A Flatlander can travel forever and never fall off the edge of the universe, even though this Flatland has a finite area. In the next section, we will encounter analogous shapes for our space.
 
Consider the 2D surface of the Earth. It is unbounded. And importantly, there need not be a 3rd dimension within which to immerse the sphere: the 2D spherical surface can be defined in 2D.
 
referring to math ..
when something has a limit at infinity so there must be a boundary somewhere..
there is a theory that we actually are living in a black whole , in fact the whole big-bang process was a birth of a black whole which clearly defines the existent of parallel universes
i really fascinated by that idea it COOL
 
arashbh said:
referring to math ..
when something has a limit at infinity so there must be a boundary somewhere..
there is a theory that we actually are living in a black whole , in fact the whole big-bang process was a birth of a black whole which clearly defines the existent of parallel universes
i really fascinated by that idea it COOL

The idea that we might be inside a black hole is fascinating to some, but it is not the current view of the standard model. There are a lot of things that a theory based only on math can show. It is important to understand that just because the math in one "theory" shows it is possible does not mean that it actually is. Believe it if you want, but I won't be holding my breath.
 
well, so far that's the only thing i consider the most sensible. you see Hawking's argument of a divine creator might not be 100 percent true... we got so much more to go through to judge whether there's one or not.. if he's right then we're pretty much done with this world and we just popped to this universe period, i think we're bounded, we should be bounded otherwise what math says is basically wrong, math always have worked and will work ..
 
You can believe what you want. As for one thing being more sensible than another, I don't think anyone can argue that at this point in time. Also, I don't see why an unbounded universe would make math wrong.
 
your totally right. arguing for make a certain point is just a waste of time, keeping all possibilities in mind though gives us a clue to proceed. if we assume the universe is bounded just like math proving the otherwise will be our job, its always been this way!
the most obvious example for continuity and limitless is two parallel lines right? they don't exist, we cannot reach that point( the END ) but it is there..thats what I am thinking
 
the most obvious example for continuity and limitless is two parallel lines right
... in Euclidean geometry, parallel lines will not intersect. However, in real space they do.

An unbounded universe is as good mathematically as a bounded one, and has a better fit with observation.
Making claims about the math without actually learning the math is not a good idea.

Your question has been answered - we cannot help it if you do not like of believe the answers. The truth is often uncomfortable.
 
  • #10
i agree with you .. I am completely aware that being in Calculus BC is just not enough to making claims about these stuff ..
and how could you be that sure about the truth?
im willing to believe the truth that's why I am here,so why would i be uncomfortable with it?
 
  • #11
how could you be that sure about the truth
That is what scientific method is all about.
You check your ideas against the Universe.
But it is not an on/off thing - the methods allow you to work out how confident you can be in a particular answer.

Since you are interested in these things, you should take the next opportunity to take a 101 level philosophy of science paper. At least read some online papers on the subject.
If you get stuck on any of the topics, we can help. But did you even do the course in the link I gave you?
 
  • #12
Simon Bridge said:
That is what scientific method is all about.
You check your ideas against the Universe.
But it is not an on/off thing - the methods allow you to work out how confident you can be in a particular answer.
gave you?

thats exactly what I am saying , you check your ideas and take the best one !
the BB idea has become a bit old it used to be the best idea!.. there are strong possibilities that this event is a cosmic cycle it never stops and it never starts ! if its true then the universe is a very strange place!

thanks for your advice by the way
 
  • #13
arashbh said:
t
the BB idea has become a bit old it used to be the best idea!..
The standard big bang model is still the best and most parsimonious fit to cosmological data.
 
  • #14
i meant the BB being a start point might not be true..as Prof. Kaku explains it
i did happen but it wasnt the first time
 
  • #15
arashbh said:
i meant the BB being a start point might not be true..as Prof. Kaku explains it
i did happen but it wasnt the first time

Kaku talks about wildly speculative ideas as though they were fact, including such unproven and currently unsupported speculation as this. He used to be a real physicist but he is now a popularizer of the worst sort.
 
  • #16
arashbh said:
i meant the BB being a start point might not be true..as Prof. Kaku explains it
i did happen but it wasnt the first time
Yes, and I think we're all in agreement, but that specific question might not be answerable even in principle with cosmological observations. The standard big bang model certainly doesn't address it.

And Phinds -- I couldn't agree more with your appraisal of Kaku.
 
  • #17
bapowell said:
Yes, and I think we're all in agreement, but that specific question might not be answerable even in principle with cosmological observations. The standard big bang model certainly doesn't address it.

And Phinds -- I couldn't agree more with your appraisal of Kaku.

phinds said:
Kaku talks about wildly speculative ideas as though they were fact, including such unproven and currently unsupported speculation as this. He used to be a real physicist but he is now a popularizer of the worst sort.

hopefully everybody is saying the same thing ..
Kaku's blog called "big think" is a great futuristic place !
 
  • #18
homeylova223 said:
I mean look at a triangle or a square or even a sphere kind of has something outside of it. Even a circle does.

Check out some of these videos from A Google Search for Hyperspheres

It's a little easier to understand what they are talking about when they discuss the shape of the universe.
 
  • #19
homeylova223 said:
I mean look at a triangle or a square or even a sphere kind of has something outside of it. Even a circle does.

look at the integers:
... -2 -1 0 1 2 ...
 

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