The Gravitomagnetic Onion: Dual Precession in Rotating Axisymmetric Metrics and Its Implications for Galactic Dynamics and Local Cosmology

The Gravitomagnetic Onion: Dual Precession in Rotating Axisymmetric Metrics and Its Implications for Galactic Dynamics and Local Cosmology

Spiral galaxies exhibit flat rotation curves, kinematic asymmetries, warps, and excess vertical velocity dispersion, features traditionally attributed to dark matter. We propose that these phenomena arise from dual (azimuthal and vertical) gravitomagnetic precession in thick, differentially rotating disks within a time-dependent axisymmetric metric — the Gravitomagnetic Onion. By integrating the median gravitational potential along null geodesics (rather than the density-weighted mean) and accounting for the evolution of the gravitomagnetic field over the photon light-crossing timescale (∼105 \sim 10^5 ∼105 yr), the model reproduces the observed rotation curves of NGC 3198 and the Milky Way with reduced χ2≈0.9 \chi^2 \approx 0.9 χ2≈0.9, using only the observed baryonic distribution. The same mechanism implies that the Milky Way itself acts as a gravitomagnetic self-lensing foreground, introducing a direction-dependent bias of $\sim 1.1$–2.3 km s−1 Mpc−1 2.3\,\mathrm{km\,s^{-1}\,Mpc^{-1}} 2.3kms−1Mpc−1 in low-redshift ($z\lesssim 0.02$) determinations of H0 H_0 H0. This threshold-dominated, dark-matter-free framework offers a testable alternative to standard dark-matter interpretations and constitutes a natural, purely geometric contribution to the Hubble tension that vanishes at higher redshifts. Rigorous numerical validation with 3+1 general-relativistic codes is required.

In conclusion, we emphasize that the gravito-magnetic Onion is not a universal alternative to dark matter, but a threshold-dominated geometric effect. What has long been interpreted as a “missing mass” problem may in many cases reflect a “missing geometry”: only massive, thick, differentially rotating spiral disks possess the organized multi-layer structure required to generate significant dual gravitomagnetic precession and the associated supra-additive velocity boosts. In contrast, dwarf galaxies, irregulars, and ellipticals lack this high degree of rotational organization and internal resonance; they therefore exhibit negligible gravitomagnetic amplification and continue to require dark matter to explain their dynamics. This naturally accounts for the observed distribution of flat rotation curves and kinematic anomalies without invoking a universal dark-matter halo around every galaxy.

Keywords: general relativity, galactic rotation curves, dark matter alternatives, frame-dragging, gravitomagnetic precession, self-lensing, Hubble tension