This Is Why Space Needs To Be Continuous, Not Discrete
“In General Relativity, matter and energy determine the curvature of space and time, while spacetime curvature determines how matter and energy move through it. In both General Relativity and Quantum Field Theory, the laws of physics are the same everywhere and for everyone, regardless of their motion through the Universe. But if space has a fundamentally minimum length scale, then there is such a thing as a preferred frame of reference, and observers in motion relative to that frame of reference will obey different laws of physics from the preferred reference frame.
This doesn't mean that gravity isn't inherently quantum; space and time can be either continuous or discrete in a quantum Universe. But it means that if the Universe does have a fundamental length scale, that the CPT theorem, Lorentz invariance, and the principle of relativity must all be wrong. It could be so, but without the evidence to back it up, the idea of a fundamental length scale will remain speculative at best.”
Theoretical physicists love to bend the rules as much as possible to try and see what sort of new phenomena might be permissible in our Universe. But there’s an enormous suite of observational and experimental evidence that any new idea has to confront. If you break the laws of physics in a way that conflicts with what we already know, your idea is ruled out before it even got off the ground. Many extensions to what we know postulate the existence of a finite fundamental length scale, and it’s worth considering.
If space is discrete instead of continuous, here’s what we need to reckon with. Pro tip: it’s never a good thing when you run contrary to Einstein.
