The natural time scale (the Compton time) associated with electron is the Compton wave length divided by speed of light. In natural units, The Compton wave length is one over the mass:
Where 'zs' stands for zeptoseconds, not a large unit of time, even by modern standards. The smallest time resolutions are now about a factor of 10,000 greater, of order 100 attoseconds:
Therefore for times much longer than this, interactions dominated by stationary states.
Would have thought not possible, but [Hestenes-1990], [Hestenes-2008], [Hestenes-2008b], [Hestenes-2008c], [Catillon-2008]found way.
Differences (temporal quantization is orthogonal to zitter idea of Hestenes).
If we can separate time and space parts, then when variation of space part with laboratory time goes like:
Then variation of time part goes as:
So overall state is stationary:
From Schrödinger equation, see stationary state condition gives mass shell condition immediately:
Assuming picture, variations in time and space cancel each other out. We think wave function moving in time because we have only been considering the space part.
In relative time will see that get wave functions that appear to move, with normal energy.