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New Theories / Does this train car demonstrate a preferred frame?
« on: 17/01/2024 19:09:42 »
[Mod note: This was split off of here: https://thenakedscientists.com/forum/index.php?topic=86033.0
The OP of that topic did post two videos, but neither of the videos mention anything relevant to a discussion about the train car and platform being discussed here.]
Here is a demonstration of what went wrong in the OP video.
It is impossible to align the following 4 events due to disagreement on the simultaneity between the inertial frames.
Imaging a 'space train car' and a 'space platform'.
Figure 1: The train car inertial reference system S′.
Figure 4: The platform inertial reference system S.
The front of the train F' is the origin of the train S'. The back of the train B' is -6.9282cs' back.
The P is location of the platform observer and origin of the platform frame.
When we assign time to locations we have events.
We can have time synchronized on the train S' for the F', B' events.
We can have time synchronized on the platform S for P, B events.
The events F', B', P, B cannot be aligned though.
The disagreement on the simultaneity does now allow that.
Then the invariance of the space-time intervals of a light round-trip defines stationary preferred frame with the slowest time.
The OP of that topic did post two videos, but neither of the videos mention anything relevant to a discussion about the train car and platform being discussed here.]
Here is a demonstration of what went wrong in the OP video.
It is impossible to align the following 4 events due to disagreement on the simultaneity between the inertial frames.
Imaging a 'space train car' and a 'space platform'.
Figure 1: The train car inertial reference system S′.
Figure 4: The platform inertial reference system S.
The front of the train F' is the origin of the train S'. The back of the train B' is -6.9282cs' back.
The P is location of the platform observer and origin of the platform frame.
When we assign time to locations we have events.
We can have time synchronized on the train S' for the F', B' events.
We can have time synchronized on the platform S for P, B events.
The events F', B', P, B cannot be aligned though.
The disagreement on the simultaneity does now allow that.
Then the invariance of the space-time intervals of a light round-trip defines stationary preferred frame with the slowest time.