Quantum tunneling and time/energy conjugacy

[Mordred]

Yeah I see his argument under QFT energy is quantized as well. All observables are so you instantly transition between quanta states. There being no in between state. At least not measurable. In essence he is arguing that inbetween states would be too spread out in the field to be measurable or cause action (nonlocal). Which under observables makes sense.

 

Lets try a simple example take an excitation of 1 quanta. It will a specific wavelength. If you increase the wave length the wavelength amplitude will reduce. Your photon in essence no longer exists as a real particle.

 

Its much the same way photons can form for every quanta value. However when described as an excitation its pointlike properties is confined by the Compton wavelength. Increase the wavelength your photon dissapears. However to maintain the conservation laws the energy is spread out into the field but too diffuse to measure.

PS (The compton wavelength is the breaking point where you can define the pointlike characteristic of a particle.)