Originally Posted by **CaptainBlack**

But the uncertainty principle isn't physics its mathematics, it spills over

into physics and engineering because of the form QM and EM take.

It is in fact a property of the Fourier transform, that when these things are

appropriately defined and scaled that:

$\displaystyle

\Delta t \Delta \omega \ge 1

$.

This is most easily seen with the Gaussian density, which with appropriate

scaling of the two domains and juggling with the constants involved is

its own FT, then $\displaystyle \Delta t$ can be taken as the "standard deviation" in the $\displaystyle t$-domain,

and $\displaystyle \Delta \omega$ the same in the $\displaystyle \omega$ domain.

RonL