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I wouldn't say that "all our current theories" are set in continuous spacetime. For example, Quantum chromodynamics is set in SU(3), an 8-dimensional group of r
by feoren 5y ago
I wouldn't say that "all our current theories" are set in continuous spacetime. For example, Quantum chromodynamics is set in SU(3), an 8-dimensional group of rotation-like matrices. Electric charge is discrete, spin is discrete, electron orbitals are discrete. In fact position and momentum would seem to be the outlier if they were not also discrete. I hardly call that "no reason".
- whatshisface 5y agoSU(3) is a continuous group.
- freemint 5y agoYeah but it is very much not in space time.
- whatshisface 5y agoBut it is. SU(3) is the group for swapping colors around. It still has spacetime.
- freemint 5y agoYou can Cartesian product it with space time, yes. But that is possible for any system.
- whatshisface 5y agoI'm having a hard time imagining quantum chromodynamics set in a single point. :)
- drdeca 5y agoIt is based on SU(3), but, does it really make sense to say that it isn't still set in spacetime? Like, quarks still have position operators, yes?