User:Vel!/Universal limits


 * All values listed in this page are totally theoretical. I'm a musician and a math enthusiast, not a physicist or a cosmologist, so I may not be right in the way I'm using them.

In this page I will discuss and ramble about limits in the observable universe. That is, what is the largest length that's practical for the observable universe? What's the greatest number of permutations definable using the observable universe? What functions are definable using the observable universe?

To save typing I will abbreviate "observable universe" as OU.

Call the radius of the OU \(r\), which is \(r/\ell_\text{P}\) Planck lengths. Letting the OU be a perfect sphere, it's filled with around \(\frac{4}{3}\pi(r/\ell_\text{P})^3\) cubes with sidelength \(r/\ell_\text{P}\). This value marks the limit of what "quantities" make sense in the OU. If we allow each cube to represent a bit of data, the limit is \(2^{\frac{4}{3}\pi(r/\ell_\text{P})^3}\).