It is interesting to note that just as we have a momentum-position relationship for any measurement, by Heisenberg's Uncertainty Principle there is a similar relationship between the uncertainty in time [deltaT] and the uncertainty in the energy [deltaE], where deltaT x delta E >= h / 4pi [h is Planck's Constant] delta E goes to infinity as delta T goes to zero. So can infer that the uncertainty in energy [delta E] is infinite for any event having a delta T of zero, were such a thing possible. This is another manifestation how a mere electron could generate an infinitely powerful magnetic field, if instantaneous appearances were possible. The so-called natural unit of time is the Planck Second where: ħ = h⁄2 π is the reduced Planck constant (sometimes h is used instead of ħ in the definition[1]) G = gravitational constant c = speed of light in a vacuum s is the SI unit of time, the second. I believe the theoretical lower limit for the uncertainty for any measurement [or event] is the Planck second, which is about 5 x 10^ -44 seconds.
Something else, you can do the same experiment using matter waves. In that event, you might allow electrons to interfere. Again it isn't a disturbance in a medium like water or air. And you have electrons magically disappearing when you combine the waves. You can get incredible resolution with matter waves because their wavelength is very short even compared to light. We did some matter wave interferometry in college. It was so sensitive that anyone entering the building would disturb it - not just entering the room but the building.
One small error, due to skin effect, electrons do not flow through the entire cross section of wire, only the outer layer of metal. In any case, if you run a tawt copper wire over a distance of one mile, and run 10 Kilovolts at 1000 ma, and simultaneously induce 1 kilohertz sound by means of an audio transducer, into the same wire, at the end of the run, a neon lamp and an audio pick up, -amplifier and a small speaker, tell me which indicator activates first ? The lamp or the audio pick up ?
Yep, guidance systems for missiles... at least that was one intended application. Historically they have used ring LASER interferometers.
Yes, most equipment I use is not direct current, excepting d.c. power supplies, so I should have mentioned alternating current. Signals are not direct current.
Not a question but a scientific fact. If you stand with your back to an open fire, you warm the hole of your body.