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Physics, Astronomy & Cosmology / Re: Negative Space?
« on: 21/10/2022 18:48:07 »
Seems like one of those potholes one can fall into when one subscribes to the metaphysical notion that math is "real" or "the universe is made of math." Number lines are elements of an abstract symbol system, and as such they aren't obligated to correspond to some physical reality (i.e. what is "out there" beyond my cranium). Math describes some aspects of reality, especially consistent patterns we perceive, remarkably well (what Eugene Wigner called "the unreasonable efficiency of math") but can also create unicorns of thought. Space, by its very meaning, is going to have positive extension, otherwise it wouldn't really be space. In string theories, some dimensions can be curled up into tiny knots, but they are still would not have negative dimensional values. And really, there is no meaningful distance or entity that can exist below the Planck length. Anyway, watch out for what philosophers of science call "reification."