Post Number:#4
January 18th, 2011, 1:48 pm
I feel compelled to inform you all that Albert Einstein devised this scenario, so I ought not to take credit for it.
Anyway, let's continue with the inquiry.
The trajectory that the stone takes is relative to one’s ‘body of reference’ [the train or the railway embankment]. In a mathematical framework, more or less, a ‘body of reference’ refers to a coordinate system.
Thus, the concept of ‘space’ altogether loses its meaning. Thereby, ‘space’ must be redefined, as Einstein said, as ‘motion relative to a body of reference’.
Now, let’s take into account the aspect of ‘time’ and ‘simultaneity’.
Let’s imagine that two lightning strikes transpire simultaneously. One stroke occurs at [A] and the other at [B].
A stationary person stands at [M]; the midpoint. A train is heading toward [B].
Due to the propagation of light, an equal amount of time will transpire as light traverses [AM] and [BM]; the stationary person will perceive the two lightning strikes as occurring simultaneously. However, those on the train will perceive lightning stroke [B] as occurring before lightning stroke [A].
Therefore, ‘time’ is relative, as well. How interesting.