1. The problem statement, all variables and given/known data
Two objects, Red and Blue, are in inertial motion with respect to each other and are graphed on the attached Minkowski diagram (representing a third inertial frame). Red and Blue are in relative motion along the x axis, and offset slightly on the z axis such that they will not collide when passing each other. At ct=2, Red and Blue have the same x coordinate, x=1. The question is: will Red and Blue agree on the simultaneity of any two or more events that occur at any points on the z axis that also have ct and x coordinates of ct=2, x=1?
2. Relevant equations
Not applicable.
3. The attempt at a solution
I believe that yes, Red and Blue will agree on the simultaneity of events that occur at ct=2, x=1, and z=any number. I think that the relativity of simultaneity only applies to events separated in space along the axis of motion; similarly, length contraction and time dilation also occur only along the axis of motion. If I am correct about this then I would have a follow up question, because if they agree on simultaneity then it raises another question about one of the relativity paradoxes.
Thanks in advance for any help.
1. The problem statement, all variables and given/known data
2. Relevant equations
3. The attempt at a solution
Two objects, Red and Blue, are in inertial motion with respect to each other and are graphed on the attached Minkowski diagram (representing a third inertial frame). Red and Blue are in relative motion along the x axis, and offset slightly on the z axis such that they will not collide when passing each other. At ct=2, Red and Blue have the same x coordinate, x=1. The question is: will Red and Blue agree on the simultaneity of any two or more events that occur at any points on the z axis that also have ct and x coordinates of ct=2, x=1?
2. Relevant equations
Not applicable.
3. The attempt at a solution
I believe that yes, Red and Blue will agree on the simultaneity of events that occur at ct=2, x=1, and z=any number. I think that the relativity of simultaneity only applies to events separated in space along the axis of motion; similarly, length contraction and time dilation also occur only along the axis of motion. If I am correct about this then I would have a follow up question, because if they agree on simultaneity then it raises another question about one of the relativity paradoxes.
Thanks in advance for any help.
1. The problem statement, all variables and given/known data
2. Relevant equations
3. The attempt at a solution
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