Thought experiment: If we imagine a photon as a 3-D sphere traveling at c, we can also imagine that it can rotate in each of the 3 dimensions. Let's assume that it does rotate in all 3 axis simultaneously for this experiment. While this photon is traveling in a particular direction, would we expect length contraction in that direction at its' maximum value - that is that its' length would be zero? If so, what does that mean in terms of the impacts to the 3 different axial rotations? I imagine a sphere where 2 of the 3 axial rotations are contracted due to the direction of motion, leaving the image of a flat, 2-D disc spinning through space (no longer a sphere). The remaining (3rd) rotation is the only unaffected circular motion, and resembles a field around the photon.
Hope I have drawn a clear description here.
My question is: What can be drawn from this thought experiment? Is it an accurate depiction(if not, why not)? And are the 2 axis of rotation that have been lost due to length contraction a). Lost or immeasurable, b). measurable if we change our relative speed to it, c). represented as a binary manifestation because of contraction, or d). incorporated somehow into what is known as 'spin'.
I keep toying with the main variables that we do measure with light (frequency, wavelength, and speed, as well as polarization, em properties (and I wonder if there are others), wondering if this 3-D representation of light spinning in all 3 (or more?) axis can shed any new light specifically due to the length contraction.
Anyone?