Generalized uncertainty principle: ((dA)*(dB)) >= 1/2*|<[A,B]>|(adsbygoogle = window.adsbygoogle || []).push({});

dA= standard deviation of the operator A, <Q>= <psi|Q|psi>

Now, I know people say that there can't be such thing as a true vacuum,

particles must be created and destroyed all the time, or else we'd know the

exact position & momentum, which would violate the heisenberg uncertainty

principle, a special case of the general uncertainty principle above

([pos,mom]= hbar*i). Normally, <psi|psi> is required to be 1, but in a true

vacuum, devoid of anything, psi=0. This would (trivially) satisfy the Schrodinger

equation, and though it wouldn't be normalizable, I don't see why it would have

to be, since by assumption there's nothing to be found there. In the above

equation, we'd get (dA)*(dB) >= 0. Presumably, we could measure both position

and momentum to be 0 every time.

So why can't a true vacuum exist?

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# What goes on in a vacuum

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