Can We Truly Define the Largest and Smallest Structures in the Universe?

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Defining the largest and smallest structures in the universe presents challenges due to the nature of infinitesimals and the continuum concept in mathematics. Structures can vary widely, with gas clouds being massive and clumped matter collapsing into black holes under gravity. The smallest structures are often considered to be atoms or elementary particles, but the quest for definitive sizes remains elusive. The universe itself could be viewed as the largest structure, yet perceptions of size are relative, as everything can appear small when viewed from a vast distance. Ultimately, the definitions of "large" and "small" are subjective and dependent on perspective.
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Will we ever be able to find the smallest or the largest structures of the universe or is that not possible in the way infinitesimals and the number line never end.
 
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Pjpic said:
Will we ever be able to find the smallest or the largest structures of the universe or is that not possible in the way infinitesimals and the number line never end.

Depends what you consider a 'structure'... gas clouds can be super massive for example.

As for clumped matter, you can't put too much matter in one place without it collapsing into a black hole under it's own gravity. And the smallest structures are those of atoms, or possibly the elementary particles themselves depending on how far you want to take it.

Of course it's hard to know you found the 'largest' or 'smallest' of something, because you never know if your going to find something smaller/larger.
 
Pjpic said:
Will we ever be able to find the smallest or the largest structures of the universe or is that not possible in the way infinitesimals and the number line never end.
It is important to understand that physics and mathematics are two completely different subjects. The concepts of infinitesimals and infinity in mathematics says nothing about the physical world. In math the concept of continuum is well defined, but whether or not space or time can be viewed strictly by a continuum model is an open question.
 
I submit that the universe itself is the largest structure, but I don't know if that fits your definition.
 
What is large and what is consider small? If you zoom all the way out nothing is large and everything is small. Thats kinda like determining what is right and what is wrong. :), but who knows, we claim that we did find suns so large that our sun is the size of an Earth to that sun. lol
 
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