Yes I understand all of this. I was absolutely making "intuitive leaps", perhaps because I was attempting to pretend as though none of this had already been proven thereby purposefully blinding myself logically.
My "snapshot" conception wasn't allowing for this time needed for the light...
But herein lies my intuitive confusion. It seems to me that if the photons fire at ##c## they too would hit each side of the train simultaneously with reference to the inside passenger, albeit farther down the tracks. I think I'm visualizing ##\vec v## as something roughly equal to a real...
Please take this post with a grain of salt as I am a computer scientist and not a mathematician or physicist. I started in on Einstein's Relativity: The Special and The General, and just finished the section on the train thought experiment involving simultaneity. I then started in on the...