I've got this nagging series of questions/answers in my head which must either be known, or wrong.
Why is it that we assume C is the upper ceiling of speed, and not just the upper limit for speed within the confines of 3 dimensional space time? This brought me to a thought on relativity of time for moving bodies.
Draw a square and mark the upper limit as C, and the lower limit as absolute 0 motion and inside the square a sine wave to represent a particle. Now, if we add energy it will increase the particles energy, pushing the wave towards the top of the box until it reaches .999C. Does the wave crush itself against the upper limits?
In my head I keep seeing the wave exceed C partially, exiting known space time until it returns on its down stroke. This would explain time seeming to passive relatively slower to an observer traveling at a slower speed, as our clock would only exist in space time for a portion of its wave form. To the particle itself it would never notice the effects of leaving, and time would appear to pass normally.
This doesn't interfere with the speed of light being a constant, because even if it was able to exist partially outside of our universe, it would still be tethered to its physical constraints. But it would help explain why light always travels at C, if you look at the bottom of the wave as a boat anchor of sorts and the rest of the energy pulling the photon along only limited by the physical constraints given to it on its down stroke.
Anyways, I'm really just looking for someone to point me in the right direction for reading materials to show why I'm wrong. I read and listen to a lot of physics lectures and follow along fairly well, but this one thing sticks out to me like crazy.