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## Main Question or Discussion Point

What is the solution to the paradox below? I have a half-formed idea.

GR tells us that a crew member at the bottom of a thrusting rocket ages slower than one at the top.

Imagine a rocket in the form of a circle or pinwheel. The rocket is subdivided into floors, each of which contains a crew member. You are on one floor. The pinwheel is so big that its curvature is barely perceptible to a crew member (like earth’s curvature is barely perceptible to us on its surface). Let the pinwheel accelerate in rotation such that all the crew feels a 1g acceleration tangential to the pinwheel. The pinwheel is so big that the centripetal force felt is negligible.

GR tells us that you age slower than those above you. But...and this is the paradox...

GR tells us that a crew member at the bottom of a thrusting rocket ages slower than one at the top.

Imagine a rocket in the form of a circle or pinwheel. The rocket is subdivided into floors, each of which contains a crew member. You are on one floor. The pinwheel is so big that its curvature is barely perceptible to a crew member (like earth’s curvature is barely perceptible to us on its surface). Let the pinwheel accelerate in rotation such that all the crew feels a 1g acceleration tangential to the pinwheel. The pinwheel is so big that the centripetal force felt is negligible.

GR tells us that you age slower than those above you. But...and this is the paradox...

*you are above you*(keep going upstairs and you end up where you started).
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