Whatever the length of the smallest discrete unit of spacetime, say, L -- then continuous spatial and temporal properties are those which have a state density O(1/L^2).
This may seem weird, and indeed, it's far less weird if you just say "continuous".
But here's an intuition: spatio-temporal continuity is "scale-free" in the sense that stuff happening at the sub-proton is affected by stuff happening at the galactic.
Thus reality has to be able to "zoom" from the sub-proton to the galactic.
In the case of organic plasticity, I do think that macroscopic effects which are whole-body distributed (including, eg., thoughts) have to drive protein expression at the sub-sub-celluar.
Consider simulating that with a low-state discrete computer: it is many orders of magnitude more data than a planet-sized computer could store and many more years than the lifetime of the universe (consider the number of molecules to store, and their interaction effects from whole-body down).
Running operations at anything in the nanoseconds makes this simulation impossible. It simply does need to be much closer to O(1/L^2).
This may seem weird, and indeed, it's far less weird if you just say "continuous".
But here's an intuition: spatio-temporal continuity is "scale-free" in the sense that stuff happening at the sub-proton is affected by stuff happening at the galactic.
Thus reality has to be able to "zoom" from the sub-proton to the galactic.
In the case of organic plasticity, I do think that macroscopic effects which are whole-body distributed (including, eg., thoughts) have to drive protein expression at the sub-sub-celluar.
Consider simulating that with a low-state discrete computer: it is many orders of magnitude more data than a planet-sized computer could store and many more years than the lifetime of the universe (consider the number of molecules to store, and their interaction effects from whole-body down).
Running operations at anything in the nanoseconds makes this simulation impossible. It simply does need to be much closer to O(1/L^2).