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March 3, 20260 citationsOpen Access

Vacuum Hydrodynamics and the Emergence of the Drag Constant H

JSJames Stephenson

Key Points

  • The study investigates a mechanical model of the vacuum as a viscous fluid, aiming to eliminate the need for dark matter and dark energy in cosmology.
  • Proposed a Unitary Loop Framework treating vacuum as a viscous fluid with drag constant H.
  • Derived MOND acceleration scale from cosmological conditions, showing consistency with observed values.
  • Utilized an AQUAL-consistent Lagrangian and validated findings against SPARC observations.
  • Explored implications for geophysics, predicting seismic precursor lag using vacuum-crustal impedance.
  • Demonstrated the modified gravity model reproduces MOND acceleration without dark matter or dark energy.
  • Confirmed the Baryonic Tully–Fisher relation without free parameters, aligning with observations.
  • Observed photon drag from the viscous vacuum supports redshift consistency with Lorentz invariance.
  • Predicted a seismic precursor lag of about 1-2 days, matching observed anomalies in geophysics.

Abstract

The Standard Model of Cosmology relies on hypothetical entities—Dark Matter, Dark Energy, and Inflation—to bridge theory and observation. The Unitary Loop Framework proposes a mechanical alternative: the vacuum is a viscous fluid medium with Universal Drag Constant H 0. 49. By treating the vacuum as a fluid, we eliminate the need for Dark Matter and Dark Energy. This modified-gravity model derives the MOND acceleration scale a₀ = c H₀ / 2 from cosmological boundary conditions, reproducing the observed a₀ 1. 2 10^-10 m/s². Using an AQUAL-consistent Lagrangian with interpolating function F (y) = 23 y^3/2, the deep-MOND limit recovers the Baryonic Tully–Fisher relation v⁴ = G Mb a₀ without free parameters, with SPARC observations validated via the External Field Effect. The Newtonian-to-MOND transition is grounded in the Unruh effect: accelerations below a₀ trigger a vacuum phase transition to a viscous superfluid regime. Redshift arises from photon drag in this medium, ensuring consistency with Lorentz invariance and cosmological data. The framework extends to geophysics, predicting a seismic precursor lag t₋₀₆ 1/H₀ ₏₇₎₍₎₍ 10⁵ s (approximately 1--2 days) from vacuum-crustal impedance mismatch, aligning with observed ionospheric anomalies. By unifying galactic dynamics, thermodynamics, cosmology, and geophysics under a single falsifiable hydrodynamic relation, the Unitary Loop Framework renders particle dark matter unnecessary.

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Cite This Study

James Stephenson (2026) studied this question.

synapsesocial.com/papers/69a67efaf353c071a6f0abadhttps://doi.org/10.5281/zenodo.18821417
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