Instead of defining velocity as the simple ratio of spatial displacement to elapsed time measured independently, v = \Delta x}{\Delta t},
What if we introduce a velocity definition that encodes a nonlinear scaling of time relative to space reflecting an observer's measurement system where time intervals depend on spatial displacement, enforcing the invariance of light speed c by construction.
Main assumptions behind the idea of "effective velocity" V
- This to include velocity-dependent scaling:
- which appears as a built-in correction to time measurement within velocity
-postulated as the velocity definition itself, where the velocity from others’ frames is not a simple sum but a normalized fraction limiting velocities to c
-One candidate formula is the Einstein velocity addition formula, normally derived from Lorentz transformations