2 ms·

One thing worth pointing out is that our universe operates on the integers rather than the real numbers, and the Banach-Tarski requires operating on the reals.

• Smaug123 5y ago
  Is that known? It's an appealing idea, but bearing in mind that general relativity is very resistant to quantisation, I'm not sure I'd be comfortable to declare it as fact.
  • x3n0ph3n3 5y ago
    It's implied by quantization. There is a minimum divisibility of space (plank lengths) and objects (fundamental particles).
    • Smaug123 5y ago
      I specifically said that the resistance of GR to quantisation is why I'm not very happy saying that it's fact.