Here's a catalogue of paradoxes in Special Relativity, for convenience sake.

If I've missed out any, do notify me.

Ladder Paradox:

A ladder enters a barn. In the barn's frame the ladder is length contracted and fits nicely, but in the ladder's frame the barn is length contracted and it won't fit. If doors at both ends of the barn shut, what will happen.

Easily dealt with using the relativity of simultaneity. Both doors do not simultaneously shut in the ladder's frame.

Bug-Rivet Paradox:

Similar to the Ladder Paradox, with a bug hiding in a hole. A Length COntracted rivet can't squash the bug in the bug's frame, but it is the other way round for the rivet.

This paradox is tricky as there is no way out for the rivet.

Cooling Paradox:

If a metal rod is heated till it glows, both ends cannot cool at the same rate in all frames.

Twin Paradox:

The mother of all paradoxes.

Trouton-Noble Paradox:

If there is no net torque in one frame, will length contraction produce one in another frame?

Ehrenfest Paradox:

A rotating cylinder and Length Contraction implies a different value of pi.

Detonator Paradox:

A variant of the Bug-rivet paradox. A bomb is activated by completing the circuit. Will it explode if a wire is passed through both terminals? Again, length contraction causes confusion.

Falling Rod Paradox.

A length contracted rod falls into a grate, but otherwise in the rod's frame. Also solved with relativity of simultaneity, this time involving a physical bending of the rod.

Bar/Ring Paradox:

A variant of the falling rod paradox, with the grate replaced by a ring, and no acceleration involved.

The solution is that due to length contraction of the bar in the ring's frame, in the bar's frame it is not directly aligned with the ring.

If I've missed out any, do notify me.

Ladder Paradox:

A ladder enters a barn. In the barn's frame the ladder is length contracted and fits nicely, but in the ladder's frame the barn is length contracted and it won't fit. If doors at both ends of the barn shut, what will happen.

Easily dealt with using the relativity of simultaneity. Both doors do not simultaneously shut in the ladder's frame.

Bug-Rivet Paradox:

Similar to the Ladder Paradox, with a bug hiding in a hole. A Length COntracted rivet can't squash the bug in the bug's frame, but it is the other way round for the rivet.

This paradox is tricky as there is no way out for the rivet.

Cooling Paradox:

If a metal rod is heated till it glows, both ends cannot cool at the same rate in all frames.

Twin Paradox:

The mother of all paradoxes.

Trouton-Noble Paradox:

If there is no net torque in one frame, will length contraction produce one in another frame?

Ehrenfest Paradox:

A rotating cylinder and Length Contraction implies a different value of pi.

Detonator Paradox:

A variant of the Bug-rivet paradox. A bomb is activated by completing the circuit. Will it explode if a wire is passed through both terminals? Again, length contraction causes confusion.

Falling Rod Paradox.

A length contracted rod falls into a grate, but otherwise in the rod's frame. Also solved with relativity of simultaneity, this time involving a physical bending of the rod.

Bar/Ring Paradox:

A variant of the falling rod paradox, with the grate replaced by a ring, and no acceleration involved.

The solution is that due to length contraction of the bar in the ring's frame, in the bar's frame it is not directly aligned with the ring.

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