5 ms·

I know we’re already assuming a hotel with infinite rooms but doesn’t this break causality by assuming FTL information propagation?

• danbruc 5y ago
  Just make each room half the size of the preceding one and you can fit all the rooms in twice the length of the first room. Also solves the problem that, when moving from room n to 2n, the guy in room one has only to walk to next room while the poor guy in room Graham's number has quite a journey ahead of him. Please address complaints about narrow rooms that can not even fit a single proton to the manager.
• simonh 5y ago
  We consider different universes with different properties to our own in mathematics, and indeed in physics, all the time.
  • mason55 5y ago
    Oh, I’m not arguing that the thought experiment is wrong. Just extending it in the direction of “reasons this doesn’t work in the real world”
    • morelisp 5y ago
      Where would you even find the fuel for the infinitely-long bus! Mathematicians must be idiots.
• bmm6o 5y ago
  I don't see an issue if you want the communication to not be instantaneous. The only requirements i see are that it has to be faster than the guests, so that everyone's room is empty when they get there.