The Torsional Illusion: Resolving the CDM Paradox through Vacuum Topology and Kerr Boundary Dynamics
Abstract
The Cold Dark Matter (ΛCDM) paradigm relies on the ad hoc insertion of invisible, non-baryonic mass to justify the kinematic anomalies of galaxies, particularly flat rotation curves and gravitational lensing. Despite decades of underground research, direct detection of WIMPs has yielded exclusively null results. In this work, we resolve the CDM paradox by replacing the dark matter hypothesis with the torsional topology of the vacuum.
By moving beyond the torsion-free Levi-Civita metric in favor of a Riemann-Cartan spacetime, we demonstrate that the Kerr horizon of primordial supermassive black holes acts as a topological dynamo. During the active quasar phase, this engine imprints a long-range, non-dissipative torsional tension (kT) along the galactic equatorial plane. This topological continuity modifies the geodesic balance equation, naturally generating an asymptotic constant velocity v = √(kT) that remains structurally invariant up to the Megaparsec scale. Furthermore, we analytically prove that this radial tension gradient produces a constant null-geodesic deflection (αTorsion = 2π(vflat/c)2), perfectly mimicking the optical-gravitational weak lensing currently misattributed to dark matter halos.
Applying our derivation to the kinematic data of NGC 3198, Andromeda (M31), and recent JWST/ALMA observations of massive rotating disks at high redshift (z > 6), we confirm that rapid early galactic assembly, flat core density profiles (resolving the Cusp-Core problem), and the Baryonic Tully-Fisher Relation (Mbar ∝ kT2) are purely geometric consequences of vacuum rigidity. This deterministic Continuum 4D Engine approach definitively eliminates the cosmological need for dark matter, proving it to be a macroscopic optical-gravitational illusion representing the vacuum's topological memory.
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BibTeX
@misc{rocca2026torsional,
title = {{The Torsional Illusion: Resolving the CDM Paradox through Vacuum Topology and Kerr Boundary Dynamics}},
author = {Alessandro ROCCA and MI PROTEO},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23537872},
url = {https://zenodo.org/records/23537872},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The Torsional Illusion: Resolving the CDM Paradox through Vacuum Topology and Kerr Boundary Dynamics
AU - Alessandro ROCCA
AU - MI PROTEO
PY - 2026
DA - 2026/10/21
PB - Zenodo
DO - 10.5281/zenodo.23537872
UR - https://zenodo.org/records/23537872
AB - The Cold Dark Matter (ΛCDM) paradigm relies on the ad hoc insertion of invisible, non-baryonic mass to justify the kinematic anomalies of galaxies, particularly flat rotation curves and gravitational lensing. Despite decades of underground research, direct detection of WIMPs has yielded exclusively null results. In this work, we resolve the CDM paradox by replacing the dark matter hypothesis with the torsional topology of the vacuum. By moving beyond the torsion-free Levi-Civita metric in favor of a Riemann-Cartan spacetime, we demonstrate that the Kerr horizon of primordial supermassive black holes acts as a topological dynamo. During the active quasar phase, this engine imprints a long-range, non-dissipative torsional tension (k_T) along the galactic equatorial plane. This topological continuity modifies the geodesic balance equation, naturally generating an asymptotic constant velocity v = √(k_T) that remains structurally invariant up to the Megaparsec scale. Furthermore, we analytically prove that this radial tension gradient produces a constant null-geodesic deflection (α_Torsion = 2π(v_flat/c)^2), perfectly mimicking the optical-gravitational weak lensing currently misattributed to dark matter halos. Applying our derivation to the kinematic data of NGC 3198, Andromeda (M31), and recent JWST/ALMA observations of massive rotating disks at high redshift (z > 6), we confirm that rapid early galactic assembly, flat core density profiles (resolving the Cusp-Core problem), and the Baryonic Tully-Fisher Relation (M_bar ∝ k_T^2) are purely geometric consequences of vacuum rigidity. This deterministic Continuum 4D Engine approach definitively eliminates the cosmological need for dark matter, proving it to be a macroscopic optical-gravitational illusion representing the vacuum's topological memory.
ER -