Aritifical Gravity through Rotating wheel generalisation in a spatial 4th dimension

I'm taking the example of a rotating wheel space station, in which artificial gravity is created through rotation due to the inertia inside.

The idea in the 3D environment is that the wheel (2D) is rotating with respect to a third axis (the one perpendicular to the wheel plane), so generalising this concept for a further dimension, the wheel would be a hollow sphere and everything would be rotating in another axis, that should be perpendicular to the other three.

Could you design this hollow sphere (very big, like 100 km in diameter) that is rotating in that 4th spatial dimension (assuming there exists one) so that humans inside feel artificial gravity? Would that make sense, at least mathematically?

If so, would people inside feel the spherical shape is changing?

posted over 5 years ago

Jordi Serra‭

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