Critical Density: What Is It and Where Does It Come From?

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Critical density refers to the specific density needed for the universe to be spatially flat. It is derived from the requirement of spatial flatness and is influenced by the universe's expansion rate. A higher rate of expansion necessitates a greater critical density to maintain this flatness. The formula for critical density is given by ρ_c = 3 H_0^2 / (8πG). Understanding critical density is essential for comprehending the universe's structure and fate.
LSulayman
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What exactly does the critical density mean?
In articles they keep comparing the desity of the universe to the critical density and what the consequences are but nobody explains what exactly the critical density is and where it comes from.
 
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The critical density is the density required to have a spatially FLAT universe. It comes from... well, requiring that the universe be spatially flat!

Does that answer your question?
 
Yes it does! A rather simple answer, but very logical actually.
 
I think I'd also like to point out that the critical density depends upon the rate of expansion. A larger rate of expansion requires a greater density for spatial flatness. Specifically:

\rho_c = {3 H_0^2 \over 8\pi G}
 
Abstract The Event Horizon Telescope (EHT) has significantly advanced our ability to study black holes, achieving unprecedented spatial resolution and revealing horizon-scale structures. Notably, these observations feature a distinctive dark shadow—primarily arising from faint jet emissions—surrounded by a bright photon ring. Anticipated upgrades of the EHT promise substantial improvements in dynamic range, enabling deeper exploration of low-background regions, particularly the inner shadow...
https://en.wikipedia.org/wiki/Recombination_(cosmology) Was a matter density right after the decoupling low enough to consider the vacuum as the actual vacuum, and not the medium through which the light propagates with the speed lower than ##({\epsilon_0\mu_0})^{-1/2}##? I'm asking this in context of the calculation of the observable universe radius, where the time integral of the inverse of the scale factor is multiplied by the constant speed of light ##c##.
Title: Can something exist without a cause? If the universe has a cause, what caused that cause? Post Content: Many theories suggest that everything must have a cause, but if that's true, then what caused the first cause? Does something need a cause to exist, or is it possible for existence to be uncaused? I’m exploring this from both a scientific and philosophical perspective and would love to hear insights from physics, cosmology, and philosophy. Are there any theories that explain this?

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