Discover the Universe's Undensity with the Human Body Calculation

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The discussion revolves around the concept of cosmology and Omega-Matter, specifically exploring the critical density of the universe, which is approximately 6 hydrogen atoms per cubic meter. Participants consider how a human body, occupying about 1 cubic meter, would be distributed at this density. It is noted that WMAP data suggests the universe's matter density is closer to 0.27 times 6 hydrogen atoms, and even lower when excluding dark matter. One participant humorously estimates that the smeared volume of a human body would equate to a cube with a side length of about 3 light-seconds. The conversation highlights the vast emptiness of the universe in comparison to human density.
Chaos' lil bro Order
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Greetings,

I was thinking about Cosmology and Omega-Matter. The critical density of the Universe is equal to about 6 Hydrogen atoms/ meter cubed. If we were to smear a human body out to fit it to this density, how big a volume would the human body smear out to be?

Assume, the human body occupies a volume of ~1 meter cubed

Assume, the average Mol. in the human body is 6,6-Carbon

Can anyone figure this out? It seems like a fun way to gain perspective on just how undense the Universe is.



P.S. Really our best WMAP data says the Universe's matter density is closer to 0.27 x 6 Hydrogen atoms. If we exclude dark matter, this number gets even smaller and becomes 0.04 x 6 Hydrogen atoms/ meter cubed.
 
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'any ideas folks?'
 
'A cube of side about 3 light-seconds (10^9m).'
 
'I guess no one likes this idea, lol.'
 

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