What if there is simply no "photon on its way to the screen"?
Photons that are there for one observer don't exist to some other observers.
An example is the question "Does a charge in free fall (accelerating) emit photons?" : depends for whom.
To me, a photon is a link between two 4D points...
Well, by now I still haven't solved this problem but I found it's called the Spiral of Theodorus and there is no simple closed form solution althought the problem looks so simple :).
In addition, the solutions are converging series that, well... converge very very slowly.
So, I'm going to use...
Can one hint me towards finding a general formula for
P_n = \prod_{x=0}^{n} \left( \sqrt{x} + i\right)
I need a direction because now I'm stuck with it after having struggled to formulate it.
Either the real or imaginary part would be enough but i guess i won't get one without the...