Is This Equation Accurate for Determining the Size of the Universe?

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In summary, the conversation discusses an equation involving c, r, π, G, p_Λ, and a(t). The equation is questioned for its correctness and the symbols are explained. The equation is related to the radius of a spherical volume and the dark energy density. The validity of the equation is also questioned and it is noted that it may be a personal theory.
  • #1
RyanH42
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##c^2/r^2=πGp_Λ## I want you to check this equation.Is that correct ?

And ##r=r_0a(t)##.Here ##r## is a spherical volume of radius , where is much larger than the average inter-galaxy
distance, and much smaller than the size of the universe.

If r has a value here then , Is that value equal some sorth of important thing ?

Thank you
 
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  • #2
What do the symbols mean, and where does the equation come from? (I can guess what c, ##\pi## and G are...)
Radius of what?
 
  • #3
Radius of observable universe or you can suppose close to that number.
 
  • #4
What's p lambda?
 
  • #5
Dark energy density
 
  • #6
Is my equation true in units,numbers and of course logically ?
 
  • #7
The equation gives 26 billion light years, which is not the radius of the observable universe. Also, there is no reason to expect that the right side (which is probably time-independent) matches the left side (which is not) exactly today.
This looks like a personal theory - we do not allow the discussion of those, that leads to nothing useful.

The units match but that is not surprising. ##G p_\Lambda## will be related to the Hubble time in the distant future.
 

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