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February 26, 20260 citationsOpen Access

The Kerr-Salpeter Cosmological Model: Dark Energy as Centrifugal Pressure and the Dynamical Spacetime Engine

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FGFlavio Gomes

Key Points

  • The research aims to redefine dark energy as a mechanical consequence of centrifugal force in a Kerr black hole framework.
  • Analyzed the Kerr black hole interior to derive centrifugal pressure related to dark energy.
  • Utilized the Raychaudhuri equation for a covariant derivation of repulsive pressure.
  • Conducted numerical simulations of centrifugal acceleration against self-gravity.
  • Investigated the effects of global rotation on physical measurements across the universe.
  • Centrifugal pressure estimated at $4.7 \times 10^{-10}$ Pa aligns with observed dark energy density.
  • Predicted time-varying equation of state explains recently observed dynamical dark energy.
  • Resolved the Hubble tension with a geometric correction linking early-universe and local measurements.
  • Demonstrated that gravitational baryogenesis accounts for the matter-antimatter asymmetry.

Abstract

We propose that the Observable Universe resides within the interior of a hyper-massive Kerr Black Hole existing in a 4-dimensional parent universe. We demonstrate that "Dark Energy" is not an exotic scalar field, but the mechanical manifestation of Centrifugal Force resulting from the rotation of the Parent Black Hole, fueled by Salpeter accretion. In this comprehensive analysis, we present quantitative evidence supporting this metric. The calculated centrifugal pressure at the horizon (P₂₅ 4. 7 10^-10 Pa) matches the observed Dark Energy density magnitude (_). Crucially, a fully covariant derivation via the Raychaudhuri equation establishes that this repulsive pressure emerges directly from the interior Kerr vorticity tensor (₄₅₅ = _^/c²). This fundamental kinematic invariant naturally predicts a time-varying equation of state, offering a parameter-free mechanism for the dynamical Dark Energy recently observed by the DESI 2024 collaboration. Furthermore, we demonstrate that the global rotation induces a relativistic time dilation and geodesic elongation of exactly 1/12 (8. 33\%). This geometric correction naturally bridges the gap between early-universe measurements (Planck, H₀ 67. 4 km/s/Mpc) and local measurements (SH0ES, H₀ 73. 0 km/s/Mpc), resolving the Hubble tension without invoking new physics. Additionally, numerical simulations confirm that centrifugal acceleration dominates internal self-gravity, offering a mechanical solution to the S₈ tension, while independent kinematic (quasar dipole) and polarimetric (cosmic birefringence) anomalies align perfectly with our frame-dragging predictions. Finally, we establish that the observed matter-antimatter asymmetry (10^-10) is a direct deterministic consequence of gravitational baryogenesis, where extreme spin-rotation coupling deep within the Kerr interior dynamically breaks CP symmetry, favoring matter formation without requiring Beyond Standard Model (BSM) physics.

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Cite This Study

Flavio Gomes (2026) studied this question.

synapsesocial.com/papers/699fe34695ddcd3a253e6f4fhttps://doi.org/10.5281/zenodo.18760582
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