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PreprintCC BY 4.0Zenodo

Torsional Topology and the Kerr Horizon: Hydrodynamic Unification of the Dark Sector, Resolution of the Hubble Tension, and Emergent MOND

Abstract

The current theoretical impasse of the Λ-CDM model, highlighted by the failure of dark matter direct detection programs, growing cosmological tensions, and the discovery of premature massive structures by the James Webb Space Telescope (JWST), requires transcending particle reductionism in favor of a purely geometric and relational paradigm.

In this twentieth work, we present a hydrodynamic unification wherein the observable Universe is confined within a parent Kerr Horizon, originating from a non-singular Einstein-Cartan-Sciama-Kibble (ECSK) bounce. The dark sector is dismantled as an autonomous particle entity: "Dark Matter" is redefined as the macroscopic fossil trace of the primordial fluid, an ultra-light superfluid condensate (mχ ≈ 10−21 eV) sustained by inherited quantized vorticity.

Key resolutions provided by the model:

JWST Early-Structure Paradox & SMBH Seeding: The empty topological core of the quantum vortex serves as a quiescent chimney for rapid baryonic Jeans gravitational instability, resolving both the genesis of Supermassive Black Holes (SMBHs) and the emergence of mature disk galaxies at z > 10.

Emergent MOND: The resonant disk-halo coupling in the solitonic limit asymptotically reproduces the critical acceleration a0 and the Baryonic Tully-Fisher Relation.

Hubble Tension & DESI/BAO Anomalies: Cosmic acceleration is the superposition of holographic vacuum tension and differential centrifugal expansion derived from the Raychaudhuri equation. This asymmetric expansion resolves the Hubble Tension (H0) and explains the apparent late-time evolution of the dark energy equation of state (w(z)) observed in Baryon Acoustic Oscillations (BAO) surveys.

Large-Scale Anomalies: Dark Flow and the CMB Cold Spot find a direct causal explanation in entropic injections and topological shocks (ringdown) induced by the multiverse ecology.

The model is rigorously falsifiable through the measurement of primordial parity violation (TB/EB cross-spectra) in the stochastic gravitational wave background.

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BibTeX
@misc{rocca2026torsional,
  title = {{Torsional Topology and the Kerr Horizon: Hydrodynamic Unification of the Dark Sector, Resolution of the Hubble Tension, and Emergent MOND}},
  author = {Alessandro ROCCA and MI PROTEO},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23527425},
  url = {https://zenodo.org/records/23527425},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Torsional Topology and the Kerr Horizon: Hydrodynamic Unification of the Dark Sector, Resolution of the Hubble Tension, and Emergent MOND
AU  - Alessandro ROCCA
AU  - MI PROTEO
PY  - 2026
DA  - 2026/10/21
PB  - Zenodo
DO  - 10.5281/zenodo.23527425
UR  - https://zenodo.org/records/23527425
AB  - The current theoretical impasse of the Λ-CDM model, highlighted by the failure of dark matter direct detection programs, growing cosmological tensions, and the discovery of premature massive structures by the James Webb Space Telescope (JWST), requires transcending particle reductionism in favor of a purely geometric and relational paradigm.  In this twentieth work, we present a hydrodynamic unification wherein the observable Universe is confined within a parent Kerr Horizon, originating from a non-singular Einstein-Cartan-Sciama-Kibble (ECSK) bounce. The dark sector is dismantled as an autonomous particle entity: "Dark Matter" is redefined as the macroscopic fossil trace of the primordial fluid, an ultra-light superfluid condensate (m_χ ≈ 10^−21 eV) sustained by inherited quantized vorticity.  Key resolutions provided by the model:  JWST Early-Structure Paradox & SMBH Seeding: The empty topological core of the quantum vortex serves as a quiescent chimney for rapid baryonic Jeans gravitational instability, resolving both the genesis of Supermassive Black Holes (SMBHs) and the emergence of mature disk galaxies at z > 10.  Emergent MOND: The resonant disk-halo coupling in the solitonic limit asymptotically reproduces the critical acceleration a_0 and the Baryonic Tully-Fisher Relation.  Hubble Tension & DESI/BAO Anomalies: Cosmic acceleration is the superposition of holographic vacuum tension and differential centrifugal expansion derived from the Raychaudhuri equation. This asymmetric expansion resolves the Hubble Tension (H_0) and explains the apparent late-time evolution of the dark energy equation of state (w(z)) observed in Baryon Acoustic Oscillations (BAO) surveys.  Large-Scale Anomalies: Dark Flow and the CMB Cold Spot find a direct causal explanation in entropic injections and topological shocks (ringdown) induced by the multiverse ecology.  The model is rigorously falsifiable through the measurement of primordial parity violation (TB/EB cross-spectra) in the stochastic gravitational wave background.
ER  -