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?

Jason

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