photons don't freeze in time in their own reference frame, and one doesnt get to priviledge any particular reference frame including those that are different from the photon's
no,the "Spacetime Interval" along a null geodesic is 0, but a null geodesic "does not have a Proper Time associated with it". Undefined is not the same as 0. "For lightlike paths, there exists no concept of proper time and it is undefined as the spacetime interval is identically zero. "
Tomayto, tomahto. You can't parametrize a null geodesic by proper time, sure, but I don't see anything particularly wrong with calling the arc 'length'/spacetime interval between events along any particle trajectory a proper time, even when it's 0.
(Δs)2 = 0
It is wrong to then equate this to some sort of proper time Δτ, find that
Δτ = 0
for a photon, and thus conclude that photons always "experience" zero proper time. No. Remember that Δτ is defined as the
time difference between two events as measured by an observer (i.e., an inertial frame) that actually travels between the events. Photons
have no reference frames! So the definition of Δτ doesn't apply to null paths.
I disagree: While you cannot have a clock travelling alongside the photon, you can have a family of clocks travelling along light-like trajectories that have the photon trajectory as its limit.
But as I was alluding to with my 'tomayto, tomahto' remark, this is a question of semantics, and we're not really arguing about physics, but labels.
