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| Format: | Recurso digital |
| Sprache: | Englisch |
| Veröffentlicht: |
Zenodo
2026
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| Schlagworte: | |
| Online-Zugang: | https://doi.org/10.5281/zenodo.19614239 |
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Inhaltsangabe:
- <p>We present a derivation of the Baryonic Tully–Fisher Relation (BTFR) and of the associated Radial Acceleration Relation (RAR) with zero free parameters, within a theoretical framework in which the physical vacuum is modelled as a relativistic Bose–Einstein condensate of a fundamental temporal substrate (Fluid Time Theory, TTF).</p> <p>In this framework, a critical acceleration scale emerges naturally from cosmological constants alone: a₀ = c H₀ / (2π) ≈ 1.08 × 10⁻¹⁰ m/s², in close agreement with the value fitted empirically by McGaugh et al. (2016).</p> <p>Testing the resulting BTFR v_f⁴ = G M_bar c H₀ / (2π) against the SPARC catalogue of 120 well-measured disk galaxies, we find a slope of 0.266 ± 0.01 (predicted: 0.250), an intrinsic scatter of 0.062 dex, and 82% of galaxies within ±20% of prediction, without any parameter adjusted to galactic data.</p> <p>A phononic screening mechanism, arising from the Bogoliubov dispersion relation of the condensate in strongly tensioned gravitational backgrounds, suppresses the anomalous acceleration in the Solar System by a factor ~ e^(-6 × 10⁵), making the theory compatible with Cassini spacecraft constraints at a level ~ 3300 times below the experimental bound.</p> <p>We outline three laboratory- and observation-accessible falsification tests: (i) the LSST slope of the BTFR, (ii) a gravitational resonance at ν_WF = 1.02 THz detectable by bulk acoustic wave (BAW) resonators or levitated optomechanics, and (iii) a submillimetre absorption feature at ~ 0.78 THz around neutron stars, accessible to ALMA Band 10.</p> <p>Keywords: Tully–Fisher relation; Radial Acceleration Relation; modified gravity; dark matter; Bose–Einstein condensate; emergent gravity; SPARC; MOND.</p> <p class="MsoNormal"><strong> </strong></p> <p class="MsoNormal"><strong> </strong></p> <p class="MsoNormal"> </p>