Entropy is a logarithmic measure of multiplicity. Multiplicity referes to the number of microstates a system could assume that would, ultimately, precipitate a given macrostate. Thus, a space (Euclidean, Hilbert, or otherwise) is presumed with "[e]ntropy" (TPTB_need_war), not "subsum[ed]" (TPTB_need_war), for, therewithout, the system would not exist to bare states (neither micro- nor macro-).