- #36
Hurkyl
Staff Emeritus
Science Advisor
Gold Member
- 14,983
- 28
Furthermore, a solid theory that randomness is existant, using a formula, would also be nice.
The Heisenberg Uncertainty Principle of quantum mechanics states that the standard deviation of a position probability density function (pdf) times the standard deviation of a momentum pdf for the same particle is no less than one half h-bar.
If we assume the universe is deterministic, then, in principle, the position and momentum of a particle can be determined precisely. IOW, the standard deviation of the pdf's for position and momentum would be zero. However, this violates the HUP because zero times zero is less than one half h-bar, therefore the assumption is incorrect and the universe is nondeterministic.
Last edited: