Map of a Moving Reference Frame - Implications
Newton: Time is the same for all observers no matter how fast
they are moving.
They all agree on which events happen at t=0 --- They all have the same space axes.
Shifting to a moving frame of reference just means drawing a new time axis.
Observer A sends a radio message to B. If B replys immediately, then A can figure out exactly
when B replied.
The speed of light never changes, so the reply must have happened exactly halfway between the sending time and the receiving time.
Spacetime diagram of a moving reference frame from Einstein's point of view:
Move the time axis and the space axis.
The world-line of a light signal from the origin stays exactly between the new axes.
There is a price for having all observers agree on the speed of light.
Events which are simultaneous in one inertial reference frame are not necessarily simultaneous in
another.