3 ms·
Children's TV level astrophysics (it's not astrophysics, but that's the context where stuff like that is presented?) suggests that if Brownian motion approached
by usrusr 5y ago
Children's TV level astrophysics (it's not astrophysics, but that's the context where stuff like that is presented?) suggests that if Brownian motion approached 1c, mass would grow towards the infinite. So you could always add even more energy?
(sorry, can't provide anything beyond that level)
- javcasas 5y agoMore children's TV level of astrophysics: so you keep adding energy to your particles, they approach 1c, they gain and gain mass... until they collapse into nanoscopic black holes and immediately evaporate into hawkins radiation, right? I mean that's the general upper limit on stuff in the universe: it eventually collapses into a black hole.
- gus_massa 5y agoThe mean velocity in a gas is https://en.wikipedia.org/wiki/Thermal_velocity https://en.wikipedia.org/wiki/Thermal_velocity v ~= Sqrt( k_B * T / m) ~= constant * Sqrt(T) (There is another constant in the formula that depends on what definition of mean you use, but it's safe to ignore it for this discussion.) So if T is big enough, the result of this formula is faster than light. But this formula is useful only for a not relativistic gas. Once the temperature is so big that relativistic effects are important, you must use another formula. (The other formula is more difficult to calculate, but when the temperature is low the result is almost identical to the formula I wrote.) Temperature has no theoretical upper limit, but if it's high enough weird things can happen as described in a sibling comment. More details in https://en.wikipedia.org/wiki/Planck_units#Planck_temperature https://en.wikipedia.org/wiki/Planck_units#Planck_temperatur...