How Does Infinity Become Smaller? | Hawking

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Discussion Overview

The discussion revolves around the concept of infinity in relation to the universe's size and the implications of Stephen Hawking's ideas on space potentially contracting. Participants explore the notion of a finite versus infinite universe and the challenges posed by infinities in physical models.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant questions how infinity can be made smaller, suggesting that any number derived from infinity remains infinitely smaller than infinity, and connects this to the idea of a finite universe.
  • Another participant asserts that the concept of a finite universe has not been discredited, implying ongoing validity in that perspective.
  • A participant mentions a belief that space is expanding, contrasting with the idea of contraction attributed to Hawking.
  • One post references Hawking's analogy of the universe being finite but unbounded, likening it to the surface of the Earth, while clarifying that this does not imply a spherical geometry.
  • Concerns are raised about the existence of infinities in the natural world, with a note that physicists often distrust models that involve infinities, viewing them as problematic.

Areas of Agreement / Disagreement

Participants express differing views on the nature of the universe, particularly regarding its finiteness and the implications of infinity. No consensus is reached on these points.

Contextual Notes

Participants highlight the lack of proof for the existence of infinities in the natural world and the challenges that infinities pose in constructing physical models, indicating potential limitations in the discussion.

veryyoung
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I have heard that hawking thinks that space is contracting or will be contracting. my question is how do you make infinity smaller? no matter what number you go to from infinity it would still be infinitely smaller than infinity correct? so this would only work in a finite universe which most people have discredited believing it to be impossible. so is hawking trying to say that the universe is finite? :rolleyes:
 
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Finite universe has not been discredited.
 
I have heard that hawking thinks that space is contracting

I always thought that space was going perm soon! :smile:
 
Infinity and Hawkings

Stephan Hawkins once speculated that the universe is finite but unbounded, like the surface of the Earth. You can walk around the surface of the Earth forever but you eventually come back to the same place you started. This is not implying that the geometry of the universe is any type of sphere. Hawking was just using the Earth as an analogy.

Though infinities exist in mathematics, there is no proof that infinities exist in the natural world. When scientist try to constuct a model of the universe they become distrustful of their work when they run into infinities. Infinities are somewhat ugly to physicist.
 

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