Do train gaps appear smaller in motion?

[Vanadium 50]

I have deleted a number of messages that were overly argumentative and were not addressing the OP's question. Let's try and focus on the question asked.

 

[macrylinda1]

Rest assured that no matter how high the speed v<c, the train will not "fall through the cracks" .

The mistake is to assume that you can apply then Lorentz contraction in one dimension(x) whilst ignoring it in the perpendicular (y).
Of course that is going to lead to paradox.
A proper analysis of the movement of the train in both directions eliminates the problem.
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[starthaus]

The mistake is to assume that you can apply then Lorentz contraction in one dimension(x) whilst ignoring it in the perpendicular (y).
Of course that is going to lead to paradox.
A proper analysis of the movement of the train in both directions eliminates the problem.
___________________
watch free movies online

There is no Lorentz contraction in the direction perpendicular to the direction of motion.

 

[JesseM]

The mistake is to assume that you can apply then Lorentz contraction in one dimension(x) whilst ignoring it in the perpendicular (y).

Lorentz contraction only happens along the axis of motion, so if the train is moving parallel to the x-axis in the platform frame, it will be contracted in the x-direction but not in the y-direction.