- #1
mitesh9
- 58
- 0
Dingle's Dilemma again!
Dear all,
Following is a problem, I suppose, is related to some controversy called "Dingle's Dilemma", as I read somewhere on some relativity forum, and I wish to understand where is the catch.
Consider two inertial frames A and B, stationary with respect to each other, with two identical and synchronized clocks (one in each). Now, another inertial frame C (say a rocket) passes by A with a uniform velocity (say v). When the co-ordinates of A and C coincide while the process of passing by, C synchronizes its clock with A (and as A and B are still synchronized).
Now, by the time C reaches B (assuming that C's motion is in the line connecting A and B), for an observer in A, C's clock has been slowed down by some time (time dilation, say 1 sec), while, as there is no mechanism to establish wether A is in absolute motion or C, for an observer in C, the clock in A has been slowed down, and as clocks in A and B are already synchronized B has been slowed down as well.
What will happen, when the C reaches B? Will their clocks be still synchronized (I don't think so)! And if not, which one will be slower, B's clock or C's clock? (At the moment when B and C coincides, If the need arise, there should be some kind of accident, where, C doesn't move at all, abruptly stops, and merges with B.)
In case you wish to respond to this one, please note that, I'm not against SR (or Einstein for that matter, nor am I gifted enough to ever expect this), instead, being a chemist, the best fit for my role in PF can be as a hobbyist relativist.
Dear all,
Following is a problem, I suppose, is related to some controversy called "Dingle's Dilemma", as I read somewhere on some relativity forum, and I wish to understand where is the catch.
Consider two inertial frames A and B, stationary with respect to each other, with two identical and synchronized clocks (one in each). Now, another inertial frame C (say a rocket) passes by A with a uniform velocity (say v). When the co-ordinates of A and C coincide while the process of passing by, C synchronizes its clock with A (and as A and B are still synchronized).
Now, by the time C reaches B (assuming that C's motion is in the line connecting A and B), for an observer in A, C's clock has been slowed down by some time (time dilation, say 1 sec), while, as there is no mechanism to establish wether A is in absolute motion or C, for an observer in C, the clock in A has been slowed down, and as clocks in A and B are already synchronized B has been slowed down as well.
What will happen, when the C reaches B? Will their clocks be still synchronized (I don't think so)! And if not, which one will be slower, B's clock or C's clock? (At the moment when B and C coincides, If the need arise, there should be some kind of accident, where, C doesn't move at all, abruptly stops, and merges with B.)
In case you wish to respond to this one, please note that, I'm not against SR (or Einstein for that matter, nor am I gifted enough to ever expect this), instead, being a chemist, the best fit for my role in PF can be as a hobbyist relativist.