Do you understand that spacetime coordinates mark a place and a time relative to a specific reference frame? There's absolute nothing about observations from others frames involved. I suggest you read the first couple of posts here, to understand what a frame of reference is.martillo said:If you don't agree with this you are in serious trouble with Relativity.
(x',t') usually appears on the left hand side. I want to see you write transformations where (x,t) is a function of (x',t'). (We won't care about y and z.)This is strange since you seem to know about Relativity and the Lorentz Transform equations are a too basic thing for you to ask here but I think I can guess your point.
The equations that always appear in the literature are those which x' and t' appears at the right side of the equations and you are asking for the equations that directly gives x' and t' as functions of the variables x and t, is this true?
You should be able to do it easily. The standard equations for transforming from S to S' (given the setup where S is the mothership frame and S' is twin A's frame) are given here, for instance. Setting up equations from S' to S is quite trivial. Please do it.I have a doubt about this and I'm not on my desk now (travel).I think I could answer this on Friday 26th.