On Wed, Apr 15, 2020 at 2:07 AM Jason Resch <jasonre...@gmail.com> wrote:

> There has been controversy <https://arxiv.org/pdf/quant-ph/0105049.pdf> in
> the meaning/interpretation of the Time-Energy uncertainty relation in
> quantum mechanics, but relatively none regarding the meaning of the
> position-momentum uncertainty.
>
> However, can these not be viewed equivalently in terms of a 4-dimensional
> space time?
>
> For example, I have seen some describe mass/energy as momentum through
> time. Massless particles don't age, and have no momentum through time.
>
> Similarly, cannot a point-in-time measurement be viewed as a measurement
> of position in the time dimension?
>
> In my view, you can go from the position-momentum uncertainty to the
> time-energy uncertainty simply by flipping the time-space orientation. Is
> this valid? Is there something I am missing?
>

You are missing the fact that energy is bounded below, whereas momentum can
take on any value between plus and minus infinity. Time is not an operator
in quantum mechanics.

Bruce


> Jason
>

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