Hi Cavediver.
You've inspired me to purchase Nigel Caldor's
Einstein's Universe to obtain a grasp of relativity. I recall you advising someone to purchase it in another thread; which, I can't remember. I hope you can give me a brief synopsis of the book, and better prepare me for concepts to come.
Moreover, I'm trying to understand your analogy, but I still have some hurdles to leap. Granted, the only astronomy knowledge I have is from an introductory community college course, but I was and still have a great deal of curiousity on the subject, and who knows, perhaps take it as a major.
As you can see, your velocity vector is pointing entirely within the time-direction and not pointing in any spatial direction. This is you, moving through time with "time-velocity" c, and not moving through space at all.
This I don't understand. How can one move
through time yet not be moving through space? Would photons be an example of this? Traveling c but not moving through space? If so, how could it not be moving through space if it has a direct effect on me? Is this how we on earth experience space-time? Or is the ruler being tilted partially in each dimension?
Finally, tilt the ruler until it is horizontal. You now have NO time-velocity at all, but all of your velocity is in the spatial direction. How much velocity? c of course... the length of the ruler is fixed.
If the ruler is tilted directly up - entirely in the time-direction- moving at velocity c
identical from my earthly frame of reference to the ruler being pointed directly horizontal- moving entirely in the space-direction? In other words, are they one and the same?
I may have more questions, but I have to leave for work.
Thank you in advance for any help you can give.