Special relativity is founded upon the constant velocity (and therefore motion) of light. Whatever issues you have with the logic of special relativity, this shouldn't be one: the motion of light is the foundation for the entire theory.
My point is that special relativity makes two contradictory claims.
i) Light moves at the velocity of light
ii) Time slows down for an object that approaches the velocity of light.
The first is obviously true,
but the second would cause light to stop moving if it were true.
The light moves from A -> B -> C
(from a to b thru c)
At the point 'B' it is half way, both in space and time,
so at B its time has moved.
So the photon cannot have 'indeterminate' time as would be the result if applying
the relevant time dilation formulae.