Appendix to Chapter 2
More Special Relativity
In Which We Dive More Deeply Into the Weirdness
A optional deeper dive into special relativity. Worth getting into if it interests you but not needed to enable you to work through the rest of the chapters.
The Lorentz transformations enable you to convert the time and spatial position measured in one frame of reference to another one.
The velocity transformation allows you to work out what the velocity measured in one reference frame will be in a different frames. Hence it allows us to combine velocities measured in different reference frames.
If two objects are approaching one another at speeds approaching the speed of light, could the velocity of one relative to the other exceed light speed?
If two twins are each moving relative to the other, each will measure that less time has passed for the other, due to time dilation. But can both be right?