Is the Universe Truly Infinite?

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Discussion Overview

The discussion revolves around the nature of the universe, specifically whether it is truly infinite and how it could transition from a finite singularity to an infinite state. Participants explore theoretical implications, cosmological models, and the mathematical versus physical interpretations of these concepts.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • Some participants question how an infinite universe could emerge from a finite singularity, suggesting that this transition seems problematic.
  • Others propose that if the universe is infinite, it must have always been infinite, arguing against the idea of it originating from a single point.
  • One participant asserts that a finite universe cannot become infinite, while another suggests that there may be mathematical models that imply a way for this to occur, though they acknowledge it seems nonphysical.
  • There are references to Alan Guth's ideas, with participants interpreting his statements about the universe's beginnings and the nature of finite regions versus infinite models.
  • Some argue that the concept of a finite bubble in a larger infinite universe introduces complexities related to coordinate transformations and the nature of space and time.

Areas of Agreement / Disagreement

Participants express multiple competing views on whether the universe can transition from finite to infinite, with no consensus reached on the validity of these perspectives. The discussion remains unresolved regarding the implications of cosmological models and the interpretations of mathematical constructs.

Contextual Notes

Participants note limitations in understanding due to the dependence on definitions and the complexities of coordinate systems in cosmology. There is an acknowledgment that the observable universe is finite, which complicates discussions about the overall nature of the universe.

outremer
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If the universe is infinite and if it started out of a finite singularity, how did it make this step ? From finite to infinite ? This looks a hard thing to do ?
 
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The universe must have done some math tricks when you weren't watching.
 
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outremer said:
If the universe is infinite and if it started out of a finite singularity, how did it make this step ? From finite to infinite ? This looks a hard thing to do ?
It's assumed that if it is infinite then it was always infinite. In any case, it was never a single point.
 
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outremer said:
If the universe is infinite and if it started out of a finite singularity,
It didn’t. At least not according to current cosmological models.
 
outremer said:
If the universe is infinite and if it started out of a finite singularity, how did it make this step ? From finite to infinite ? This looks a hard thing to do ?

A finite universe will not become infinite. If it's infinite in the past it will always be infinite.
 
PeroK said:
It's assumed that if it is infinite then it was always infinite. In any case, it was never a single point.
Careful here, our Observable universe is finite. It can originate from a portion of an infinite universe. We can't forget the universe is far larger than our Observable universe.
 
Mordred said:
Careful here, our Observable universe is finite. It can originate from a portion of an infinite universe. We can't forget the universe is far larger than our Observable universe.
I'll make cerrtain never to do that.

There is a way to get from finite to infinite. Increase size by X percent in a second. Do it again in a half second. Again in a quarter second. Etc. This however seems nonphysical.
 
Hornbein said:
There is a way to get from finite to infinite. Increase size by X percent in a second. Do it again in a half second. Again in a quarter second. Etc. This however seems nonphysical.
Indeed. This is perhaps true in math, but there's no evidence that this is possible in the physical universe.
 
Mordred said:
A finite universe will not become infinite.
However, I seem to understand that in this video Alan Guth is implying that there is a way in which a finite universe can become infinite.
 
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Jaime Rudas said:
However, I seem to understand that in this video Alan Guth is implying that there is a way in which a finite universe can become infinite.
The words I heard him use at about 2:10 were "begins in a very small region which we can model as a point".

That is not an argument that something finite can become infinite.

We model the tip of a pencil as a point. That does not make it one.
 
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jbriggs444 said:
The words I heard him use at about 2:10 were "begins in a very small region which we can model as a point".

That is not an argument that something finite can become infinite.

We model the tip of a pencil as a point. That does not make it one.
In large-scale cosmology, a galaxy or even a galaxy cluster can be modeled as a point!
 
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This has been enough attention to the "drive-by," yes?
 
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jbriggs444 said:
The words I heard him use at about 2:10 were "begins in a very small region which we can model as a point".

That is not an argument that something finite can become infinite.

We model the tip of a pencil as a point. That does not make it one.
Yes, but at 2:50 he says: "[...] at any given time the bubble is finite [...] the space-time is tremendously distorted inside this bubble compared to what looked like outside and inside the bubble you really have what is equivalent to this infinite model of the universe that we talked about earlier, this open model [...]"
 
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Jaime Rudas said:
Yes, but at 2:50 he says: "[...] at any given time the bubble is finite [...] The space-time is tremendously distorted inside this bubble compared to what looked like outside and inside the bubble you really have what is equivalent to this infinite model of the universe that we talked about earlier, this open model [...]"
This is an issue of a coordinate transformation and what you call "time", which defines the simultaneities inside the bubble. In the same sense you could say that the light cone of an event in special relativity is spatially infinite because if you go to Milne coordinates then the spatial hypersurfaces of constant Milne time become infinite. Would most people conclude that the light cones are spatially infinite? I would not think so.

Bottom line is that these are coordinate effects. Whether or not "space" is infinite may generally depend on your choice of coordinates.
 
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