Scott Aaronson - Is Reality Discrete or Continuous?

Are there discrete “pixels” of spacetime? Can we experimentally-confirm this? The debate goes back to the ancient Greeks - the question has not been equivocally resolved ye, though with quantum mechanics, there are amplitudes (complex numbers) and there is an infinite amount of possible amplitudes (in a system that tries to model this should then have continuous parameters for these amplitudes) - before amplitudes (complex numbers) are observed - it’s in a continuous state, then when it is observed it collapses into one of the finite possible discrete states that it could collapse into i.e. into either a complex amplitude representing either 1 or 0, a discrete state.. so in a sense it’s continuous before observed then discrete afterwards. Also there can be quantum systems where there could be an infinite amount of possible outcomes i.e. a particle with a position live in an infinite dimensional state space (where you would need infinite complex numbers to characterize their state) - so if these s