The dimensions of the photon
O EVISE ?
Time dilation is given by tí = t/a and length contraction is given by lí = la wherein
a = (1 - v / c)^1/2. When you fill in t=1 and l=1 you get the photonmeter mí and photonsecond sí. A photon is traveling from electric charge A to electric charge B.
As observed by us, the time axis tí and the space axis xí of the photon coincide, see the derivation of the Minkowski diagram at page 2 of the storyline SPECIAL RELATIVITY, in the small strip at the right side of the page. But the photonmeter and the photonsecond do not coincide! The meter has shrunk to zero by length contraction, and the second is stretched to infinity by time dilation.
As observed from us on earth, time stands still on and in the photon. The photon can cover an infinite number of photon meters in no photon time at all, infinitely fast. But actually it does so only one single moment, zero photon seconds. This can hardly be otherwise: space and time axis coincide. On that joint axis there are an infinite number of photon meters but only one photon moment; zero seconds, that is.
Observed from the photon, the photon stands still and the entire universe speeds by with lightspeed everywhere around it.
As observed from the photon the location of departure (an electric charge, somewhere in the universe) and the location of arrival (another charge, somewhere else) do coincide (length contraction: distance shrunk to zero). The photon simultaneously is at its starting point and point of destination. The lifespan of the photon is zero photon seconds. The photon observes itself as an instanton, a zero dimensional space without elapse of time. A mathematical point.
(The length contraction is solely in the direction of motion. In the photonís world, the photonís arrival point cannot lie a little bit aside from its starting point. They really have to coincide.)
Observed from us the photon is a line, or half a line, or a line segment, without elapse of time and thus resembling a mathematical line, a mathematical (piece of) one-dimensional space.
As observed from the photon, all distances in the direction of motion have become zero, all starting and ending points coinciding; but distances perpendicular to the direction of motion remained the same. However, the time the photon possesses, to make a sideway trip is zero seconds. That is a pity because due to time dilation time around the photon has come to a standstill. As observed from the photon the universe lives forever, infinitely long. So much to see and so little timeÖ!
As observed from us time dissynchronization over the photonís track is maximal: 1 second per lightsecond, 1 year per lightyear, and so on.
Does the photon have dimension, thickness? No, I donít think so, the photon has no thickness. Not in the direction of motion because of the length contraction, and not in the perpendicular directions because the photon doesnít have time to establish coherence.
According to quantum mechanics, as experienced by us, the bulk part of the photon consists of a superposition of nearby parallel lines, its division obeying the uncertainty rules of Heisenberg. Mark those lines donít see each other! It are the indistinguishable possibilities, superposing with its direct route from A to B.
The photon has a renormalization: electron-positron pairs, all kind of charge-anticharge pairs, and then more photon paths connecting those charges. But the more massive the charges are, and the more couplings involved, the lesser its chance of occurrence. The lesser its contribution in QED.
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