Guys, I am not a physicist but I have problems with understanding this:
There would be no hypothesis in your hypothesis-space to describe the standard model of physics, where space is continuous, indefinitely divisible, and has complex amplitude assignments over uncountable cardinalities of points.
Is that a proven known thing that space is really continuous and indefinitely divisible?
(An ex-physicist here) Quantization of measured energy levels in a bound system has nothing to do with the potential discontinuity of spacetime. The latter is hypothesized, but by no means proven or even tested. As for the original quote, it states that one has to leave room for models other than “a discrete causal graph”.
Guys, I am not a physicist but I have problems with understanding this:
Is that a proven known thing that space is really continuous and indefinitely divisible?
It’s empirically unproveable, but it is an assumption of standard QM and standard relativity.
(Another non-physicist here) I thought quanta were the living proof that on a fundamental level the universe was discontinuous.
(An ex-physicist here) Quantization of measured energy levels in a bound system has nothing to do with the potential discontinuity of spacetime. The latter is hypothesized, but by no means proven or even tested. As for the original quote, it states that one has to leave room for models other than “a discrete causal graph”.
The position operator has a real valued spectrum.