TVVVV - framework of the Dark Sector And rotation of local universe

Description – Rotation Velocities of Galaxies in the TVVVV Framework This calculation derives the rotation velocities of galaxies within the TVVVV framework, where galactic dynamics emerge from information flow rather than from dark matter halos. In this approach, an early galaxy is interpreted as a projection of the M‑regime from an entangled S‑regime through a global ER channel. The rotational support is generated by the Lindblad dissipation rate \( \Gamma \), which encodes the transfer of information from the torsional ER‑bath into localized geometric structure. Starting from the Lindblad evolution of the reduced density matrix, the characteristic rotation velocity follows the scaling \[ v{\text{rot}}^2 \sim \frac{\Gamma R^2}{t{\text{cosmic}}}, \] linking galactic rotation directly to the dissipation rate and the cosmic time available for M‑regime projection. A local estimate yields only a few km/s, but the global ER‑correction—arising from coherent entanglement of \(N{\text{spin}}\sim10^5\) degrees of freedom—amplifies the velocity by a factor of \(\sqrt{N{\text{spin}}}\), producing \[ v_{\text{rot}}^{\text{TVVVV}} \sim 400–500\,\text{km/s}. \] These values match the unexpectedly high rotation speeds observed in massive high‑redshift galaxies by JWST, without invoking dark matter or baryonic feedback. The result demonstrates that galactic rotation in the early universe can arise naturally from ER‑induced information flow and torsion‑driven dissipation, providing a unified explanation consistent with the broader TVVVV cosmological framework.