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- TL;DR Summary
- Threat 3 : When a cabin accelerates rigidly it contracts in the starting reference frame. What is the calculation that gives the difference in the passage of time between the top and the bottom of the cabin?

The goal is to calculate the difference in the passage of time between two ends of a cabin which is accelerating upwards due to length contraction. To help in the calculations we can consult:

https://arxiv.org/pdf/1807.05338.pdf

There is an old problem called the 4/3 problem which has been solved by taking into account the length contraction experienced by the electron during its acceleration. When we ignore this contraction there is a difference of 4/3 between the electromagnetic mass of the electron and its electromagnetic energy, but when we take it into account the two are equal.

On page 10 we find, for the acceleration of a rigid body, the formula:

g

In our situation I believe that g

With this formula one should be able to do the calculations.

https://arxiv.org/pdf/1807.05338.pdf

There is an old problem called the 4/3 problem which has been solved by taking into account the length contraction experienced by the electron during its acceleration. When we ignore this contraction there is a difference of 4/3 between the electromagnetic mass of the electron and its electromagnetic energy, but when we take it into account the two are equal.

On page 10 we find, for the acceleration of a rigid body, the formula:

g

_{0}/g_{1}= 1 + hg_{0}/c²In our situation I believe that g

_{0}is the acceleration of the bottom of the cabin and g_{1}at the top of the cabin.With this formula one should be able to do the calculations.