Dark Matter as Dimensional Condensate
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Abstract
_Fractional statistics_ (FS) is a generalization of the spin-statistics theorem and mixes bosons and fermions in a non-trivial way. Mixing is controlled by a continuous parameter \(0\le q\le1\) and the ordinary statistics is recovered in the limit \(q=1\) . We have argued some time ago that the onset of FS occurs in a spacetime endowed with minimal fractality, whose ground state is the _Cantor Dust_, an early Universe phase created by topological condensation of continuous dimensions. Recent studies on \(q\) - bosons reinforce the hypothesis that Dark Matter is the relic of Cantor Dust left over from the early stages of cosmological evolution. The take-away point of this brief note is the growing support for the minimal fractality of spacetime and its ramifications in foundational physics.
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