RE: Debunking of Modern Evolutionary and Cosmological Theories
April 26, 2015 at 3:15 am
(This post was last modified: April 26, 2015 at 3:36 am by Alex K.)
@JuliaL
I'm pretty sure the p in the example specifies a range of momenta and q,r ranges in space. Then, the Heisenberg uncertainty is supposed to tell you that p and q can't be true at the same time because q is too small a spatial interval to allow that small a momentum uncertainty as given by p. The same for p and r. However, (q or r) together specifies a larger spatial range which is compatible with a momentum uncertainty small enough that it can be contained in p, and hence p and (q or r) can be true, while (p and q) as well as (p and r) must be false by Heisenberg.
That being said, the example seems to fail on a subtle technicality: as soon as you restrict the wave function to *any* finite space interval, its extent in momentum space is infinite by the laws of fourier analysis. So saying that the particle is absolutely certainly inside any finite space interval would not allow you to have any absolute restrictions on the momentum. Very large momenta are merely.very unlikely, not absolutely excluded. So one can't really do the example with intervals.
I'm pretty sure the p in the example specifies a range of momenta and q,r ranges in space. Then, the Heisenberg uncertainty is supposed to tell you that p and q can't be true at the same time because q is too small a spatial interval to allow that small a momentum uncertainty as given by p. The same for p and r. However, (q or r) together specifies a larger spatial range which is compatible with a momentum uncertainty small enough that it can be contained in p, and hence p and (q or r) can be true, while (p and q) as well as (p and r) must be false by Heisenberg.
That being said, the example seems to fail on a subtle technicality: as soon as you restrict the wave function to *any* finite space interval, its extent in momentum space is infinite by the laws of fourier analysis. So saying that the particle is absolutely certainly inside any finite space interval would not allow you to have any absolute restrictions on the momentum. Very large momenta are merely.very unlikely, not absolutely excluded. So one can't really do the example with intervals.
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition
