Published May 21, 2026 | Version 1.1
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Gravitational Lensing Without Dark Matter: Six Tests of the Ghost Model and the First Derivation of the Universal Acceleration Scale

Authors/Creators

  • 1. The Emergence

Description

Description / Abstract: We present six gravitational lensing tests of the Ghost Model, in which Ωₘ = α²Ωᵇ where α = 2.502907875 is the Feigenbaum spatial cascade constant. The central result is the first derivation of the Milgrom–McGaugh critical acceleration from first principles: g† = αcH₀/(2π√δ) = 1.2065 × 10⁻¹⁰ m/s² (McGaugh 2016 measured: 1.2000 × 10⁻¹⁰, residual +0.54%, zero free parameters). From this derivation, flat galaxy rotation curves, the Radial Acceleration Relation, and the baryonic Tully-Fisher relation follow automatically. Additional results: cluster baryon fraction fᵇ = 1/α² = 15.96% (observed 15–17%), total lensing convergence within 1.7% of ΛCDM, NGC 3198 rotation velocity +2.6%, CMB lensing amplitude within 1.4σ of Planck, and Einstein ring radii consistent with α-scaling. Particle dark matter cannot produce the Radial Acceleration Relation. The Ghost framework derives it as an identity.

Keywords: gravitational lensing, dark matter, Feigenbaum cascade, radial acceleration relation, MOND, galaxy rotation curves, critical acceleration, Milgrom acceleration, Tully-Fisher relation, Ghost Model, Resonance Theory, cosmology

 

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Additional details

Related works

Is part of
Preprint: 10.5281/zenodo.18818006 (DOI)
Preprint: 10.5281/zenodo.18823919 (DOI)
Preprint: 10.5281/zenodo.19416496 (DOI)
Preprint: 10.5281/zenodo.19456988 (DOI)

Dates

Created
2026-04-11
Updated
2026-05-21

Software

Repository URL
https://github.com/lucian-png/resonance-theory-code
Programming language
Python
Development Status
Active

References

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