There’s an anthropic difference between the disk and the line: Uniform distributions over each don’t correspond. An observer that finds itself within 0.0001 of the perimeter may conclude that the world is a hyperdisk.
But if that observer is in the universe, then there’s more in the universe than just the circle.
I was examining this universe from the outside. We can’t actually do that, though we act as though we do in the physical sciences. (One idea in the physical sciences that takes seriously the fact that experimenters are a part of the universe they observe is superdeterminism, and it’s one of the possible loopholes for Bell’s Inequality.)
There’s an anthropic difference between the disk and the line: Uniform distributions over each don’t correspond. An observer that finds itself within 0.0001 of the perimeter may conclude that the world is a hyperdisk.
But if that observer is in the universe, then there’s more in the universe than just the circle.
I was examining this universe from the outside. We can’t actually do that, though we act as though we do in the physical sciences. (One idea in the physical sciences that takes seriously the fact that experimenters are a part of the universe they observe is superdeterminism, and it’s one of the possible loopholes for Bell’s Inequality.)