Uncertainty Principle.... Intent Behind It?

[lox_and_whiskey]

Ahh. So no matter how much you control the setup for an experiment, every property will deviate at least a little between runs. And the closer you fix one property to a $\sigma = 0$ deviation, the more the other will vary, if the product of the deviations is sufficiently small? (for pairs like position and momentum)

 

[Zafa Pi]

Ahh. So no matter how much you control the setup for an experiment, every property will deviate at least a little between runs. And the closer you fix one property to a $\sigma = 0$ deviation, the more the other will vary, if the product of the deviations is sufficiently small? (for pairs like position and momentum)

You can't make $\sigma = 0$ for either position or momentum measurements since their eigenstates are not in the Hilbert space.