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I don't think space and time are separate in this relativistic thought experiment. This is why spacetime diagrams are used to solve relativity of simultaneity problems. Here is how the thought experiment is described in wiki and time is definitely mentioned prominently in the explanation (and by the way you can't discuss simultaneity without discussing time):
This is not about time or speed of wave. It is just a spatial effect.
The time axis of the spacetime diagram shifts between observers as shown here:
Einstein's version of the experiment presumed slightly different conditions, where a train moving past the standing observer is struck by two bolts of lightning simultaneously, but at different positions along the axis of train movement (back and front of the traincar). In the inertial frame of the standing observer, there are three events which are spatially dislocated, but simultaneous: event of the standing observer facing the moving observer (i.e., the center of the train), event of lightning striking the front of the traincar, and the event of lightning striking the back of the car.
Since the events are placed along the axis of train movement, their time coordinates become projected to different time coordinates in the moving train's inertial frame. Events which occurred at space coordinates in the direction of train movement (in the stationary frame), happen earlier than events at coordinates opposite to the direction of train movement. In the moving train's inertial frame, this means that lightning will strike the front of the traincar before two observers align (face each other).
The speed of light is always the same, according to the clock you use to measure it, but since the clocks are ticking at different speeds
Not really related to what the OP is talking about, which is a relativity of simultaneity issue.
At any rate what I'm getting at is scientist have came really close to achieving absolute ZERO, at the temperature they HAVE achieved they observed the Light/Photon slowed to a fraction of its original speed and were able to observe it.
I read about this a while back, I'm on my phone or I'd link it but I'm sure anyone interested can google it.
So since they can slow light down in controlled environments that means it relative right? At least that's my understanding
I think what you mean is you see a contradiction with your understanding. "Our understanding" often refers to mainstream science views and there's no contradiction in understanding of this topic in mainstream science that I'm aware of.
Before I start, please remember that in this thread, I am NOT attempting to falsify Einstein's Relativity of simultaneity. I am simply discussing the fact that Relativity of Simultaneity naturally implies Relativity of Speed of Light, which is not a bad thing but nevertheless still is in contradiction with our current understanding of light.
As I already explained, both time and length are affected (see the Minkowski diagram I posted above), so you have to make adjustments to both, and you didn't do this anywhere that I can see.
Since this seems in contradiction with current understanding of light, one may invoke length contraction and/or time dilation as a solution. But again, this only resolves one Event out of two, never both:
As I already explained, both time and length are affected (see the Minkowski diagram I posted above)
, so you have to make adjustments to both, and you didn't do this anywhere that I can see.