Might deformations of manifold on Planck scale, serve as a simulation of an approach to randomness? Then for finer than Planck scale, might one have further refinement of such randomness approach, by utilization of rational set? Such as Cantor’s ternary set, of ever removing middle ⅓; or of a 3-dimensional version of Weirstrauss function?
However since the primes are clustered, so too the rationals; thus are the rationals not so suitable in a simulation of randomness of deformations of a manifold? That is, such deformations would seem to be intermittently clustered both spatially and temporally.
A physically related concept, entropy, seems in prusuit of randomness; that is the former expressed as the macrostate characterized by the greatest number of microstates. So entropy is ever trying to spread out energy into a uniform distribution; yet never attaining such goal; consistent with no heat death scenario for the universe?
Is heterogeneity, rather than homogeneity, for Big Bang nucleosynthesis, another example consistent with no attainment of perfect randomness?
So it would seem that since there is no perfect randomness, thus there is always information; even for mathamatics, such as Ramsey theory? Would this then seem consistent with MSM generality: the alleged ongoing maximizing of cardinality of sets, such as for entropy and information, in comparison to alternative scenarios?