The Sagnac effect on a cylinder
Résumé
By confining our attention to the world-cylinder above a circle on the rotating disk we avoid broader integrability issues that just cause confusion. A rate of rotation foliates the cylinder into timelike spirals, but also into the simultaneity spirals hyperbolically orthogonal to them; together the two foliations give rise to all sorts of temporal absurdities. Rotation is troublesome on its own; the light added by Sagnac just makes things worse, ‘shedding light’ on the problems already present.
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