Question about the Planck spaces and observable universe, .

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The discussion centers on the concept of Planck spaces and their relationship to the observable universe. A Planck space measures approximately 4.222×10^-105 cubic meters, leading to an estimated 7.1×10^184 Planck spaces within the observable universe's volume of 3 × 10^80 cubic meters. The confusion arises from the comparison of a googolplex, which represents the factorial of the number of particles, to the physical space available in the universe. The conclusion clarifies that while a googolplex represents an immense number of arrangements, it does not imply that a googolplex of particles can physically fit within the universe.

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From Wikipedia:
http://en.wikipedia.org/wiki/Googolplex

A Planck space has a volume of a Planck length cubed, which is the smallest measurable volume, at approximately 4.222×10^-105 cubic meters = 4.222×10^-99 cubic cm. Thus 2.5 cubic cm contain about a googol Planck spaces. There are only about 3×10^80 cubic metres in the observable universe, giving about 7.1×10^184 Planck spaces in the entire observable universe, so a googolplex is far larger than even the number of the smallest measurable spaces in the observable universe.

If the entire volume of the observable universe (taken to be 3 × 10^80 cubic meters) were packed solid with fine dust particles about 1.5 micrometres in size, then the number of different ways of ordering these particles (that is, assigning the number 1 to one particle, then the number 2 to another particle, and so on until all particles are numbered) would be approximately one googolplex.


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So if the observable universe doesn't have enough space to contain a Googolplex of Planck spaces how come a Googolplex of 1.5 micrometres fine dust particles woud fit inside it?

Thanks in advance and sorry if I've made any mistakes, this is my first post here :)
 
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It doesn't say a googolplex dust particles fit in the universe, it says that if n is the number of dust particles, then a googolplex is approximately n factorial (the number of ways of ordering the dust particles)
 
Office_Shredder said:
It doesn't say a googolplex dust particles fit in the universe, it says that if n is the number of dust particles, then a googolplex is approximately n factorial (the number of ways of ordering the dust particles)

Awww, I feel like a noob :o I get it now! Thank you really!

And BTW this is really a great forum, thanks for the quick answer! :P
 

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