We present a unified geometric framework in which gravity, dark-matter-like galactic dynamics, and evolving dark energy emerge from a single density-dependent mechanism operating on ahelically compactified braneworld. Rather than postulating new particles, scalar fields, ormodifications to Einstein gravity, the model reinterprets ordinary baryonic matter on the brane asa compressible charged fluid governed by Hall magnetohydrodynamics (Hall-MHD) in curvedhigher-dimensional geometry. A four-dimensional brane is embedded in a six-dimensional bulk containing one warped extradimension and one compact dimension twisted helically along a brane direction. The brane–bulkinterface supports conserved circulation with figure-eight topology, enforcing saturation andstability without phenomenological cutoffs. Electron compression and electromagnetic responsegenerate anisotropic viscosity and Hall currents that regulate geometric “borrowing” into thebulk. In high-density regimes, pressure-dominated laminar flow yields attractive curvature consistentwith Newtonian and Einstein gravity. In intermediate-density regimes, Hall-regulated circulationsaturates, producing flat galactic rotation curves without particle dark matter. In low-densitycosmic environments, curved circulation rebounds, generating effective negative pressureconsistent with evolving dark energy that is naturally stronger in voids. The framework preservesstandard Einstein equations, introduces no additional relativistic degrees of freedom (₄₅₅ = 0), and leaves early-universe cosmology unchanged. The model makes falsifiable predictions at galactic and cluster scales and survives, in principle, the most stringent stress test for dark-matter alternatives: dissociative galaxy cluster mergers. Extensions to quantum measurement, information flow, or biological coherence are explicitlydeferred and are not required for the cosmological results presented here
Matthew Zapresko (Wed,) studied this question.