Expectation of spacetime equilibrium phase in the unit fractional Universe

If we think of spacetime composed ofunit fractions,equilibrium phase of spacetime might resemble a fractal, ultrametric lattice with number theoretic symmetries—dense, self-similar, and low in entropy. If many unit-fraction decompositions are possible, and some are more "entropic" (i.e., have more combinatorial paths), then spacetime transitions could appear probabilistic.Transitions favoring more decompositions → higher probability, Rare decompositions → suppressed amplitudes.This gives rise to a Born-rule like distribution, emergent from counting decompositions rather than assigning amplitudes by fiat. Two particles "entangled" in such a phase might share parts of their decomposition trees—say, a common 1/3 unit that ties their histories.