38 ms·
> how large can a paper get before collapsing? Assuming it's confined to a one meter radius, the Bekenstein-Schwarzschild limit comes out to around `(1m)^2 (ta
by a1369209993 4y ago
> how large can a paper get before collapsing?
Assuming it's confined to a one meter radius, the Bekenstein-Schwarzschild limit comes out to around `(1m)^2 (tau c^3 log(e) / 2hbar G)` or about 2^230 bytes (or 2^150 yottabytes, at the point where SI prefixes run out).
If you're limited to storing one bit per amu (or other unit of mass), rather than saturating the Bekenstein bound for your space-energy budget, you only really care about the Schwarzschild limit (`(1m) c^2 / 2 G * (1bit/amu)`), which gives 2^175 bytes or 2^95 yottabytes.
Obviously, if you have more space available, there's no hard upper bound, although you may need to put some parts of the (physical storage substrate of the) paper into orbit around other parts to keep the mass density below the (decreasing with radius) density of a black hole of that radius.
- deleted 4y ago[deleted]