Two Parameter-Free Predictions of the U-Cell Model: A Multi-Scale Consistency Test and the Two Characteristic Halo Radii
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| Natura: | Recurso digital |
| Lingua: | inglese |
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2026
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| _version_ | 1866901228076662784 |
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| author | Prebeck, Norbert |
| author_facet | Prebeck, Norbert |
| contents | <p>The U-Cell Model (UCM) derives gravity, dark matter, and cosmological expansion from a single substrate dispersion relation without free parameters. This record contains two companion papers. Paper 1 compiles four independent parameter-free UCM predictions — rotation curves (median chi²=0.73 for 150 SPARC galaxies), the MDAR acceleration scale (0.5% agreement with McGaugh et al. 2016), the local dark matter density (0.1 sigma from Gaia/PDG), and the Milky Way virial radius (5% agreement with Gaia satellite kinematics) — all controlled by the single constant f_cold = sqrt(2-pi/2). Paper 2 derives two physically distinct characteristic radii for every UCM halo: r_200 (the conventional virial radius) and r_virial (the Euler junction radius), with a universal ratio r_virial/r_200 = f_cold*sqrt(150) ≈ 8.02 independent of galaxy mass. Between these radii the halo maintains an isothermal r^{-2} profile containing 88% of the total halo mass, producing a weak-lensing excess relative to NFW at r > r_200. Both results are directly testable with Euclid DR1 (October 2026).</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19389292 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Two Parameter-Free Predictions of the U-Cell Model: A Multi-Scale Consistency Test and the Two Characteristic Halo Radii Prebeck, Norbert dark matter isothermal halo virial radius U-Cell Model MDAR SPARC rotation curves weak lensing Euclid f_cold parameter-free prediction <p>The U-Cell Model (UCM) derives gravity, dark matter, and cosmological expansion from a single substrate dispersion relation without free parameters. This record contains two companion papers. Paper 1 compiles four independent parameter-free UCM predictions — rotation curves (median chi²=0.73 for 150 SPARC galaxies), the MDAR acceleration scale (0.5% agreement with McGaugh et al. 2016), the local dark matter density (0.1 sigma from Gaia/PDG), and the Milky Way virial radius (5% agreement with Gaia satellite kinematics) — all controlled by the single constant f_cold = sqrt(2-pi/2). Paper 2 derives two physically distinct characteristic radii for every UCM halo: r_200 (the conventional virial radius) and r_virial (the Euler junction radius), with a universal ratio r_virial/r_200 = f_cold*sqrt(150) ≈ 8.02 independent of galaxy mass. Between these radii the halo maintains an isothermal r^{-2} profile containing 88% of the total halo mass, producing a weak-lensing excess relative to NFW at r > r_200. Both results are directly testable with Euclid DR1 (October 2026).</p> |
| title | Two Parameter-Free Predictions of the U-Cell Model: A Multi-Scale Consistency Test and the Two Characteristic Halo Radii |
| topic | dark matter isothermal halo virial radius U-Cell Model MDAR SPARC rotation curves weak lensing Euclid f_cold parameter-free prediction |
| url | https://doi.org/10.5281/zenodo.19389292 |