Sunrise on 4D Planet Question

Ideas about how a world with more than three spatial dimensions would work - what laws of physics would be needed, how things would be built, how people would do things and so on.

Sunrise on 4D Planet Question

Postby PatrickPowers » Fri Apr 12, 2019 5:52 am

Suppose you have a 4D planet. Choose an arbitrary latitude torus. Choose an arbitrary time. Choose an arbitrary location of the sun. What is the set of points on that latitude torus that will experience sunrise at that time? I can't do it even in the simplest special case.
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Re: Sunrise on 4D Planet Question

Postby wendy » Sun Apr 14, 2019 12:55 pm

As in 3d, there is half the earth in daylight, and half the dusk-area would be rising.
So in 3d, you have the gimble of a globe acting as sunrise (or any other time of day), in 4d, the gimble is a half-sphere.

The half-sphere is rooted at the toruses of zero thickness, and it rotates around these, one with the sun, and the other against it.
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