I tiakina i:
| Kaituhi matua: | |
|---|---|
| Hōputu: | Recurso digital |
| Reo: | Ingarihi |
| I whakaputaina: |
Zenodo
2026
|
| Urunga tuihono: | https://doi.org/10.5281/zenodo.19073055 |
| Ngā Tūtohu: |
Tāpirihia he Tūtohu
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
|
Rārangi ihirangi:
- <p>We present a scalar field framework in which the chronon field χ, governed by the</p> <p>Lagrangian L= P(X)−V(χ) + βχρ<span>bar</span>, addresses five observational domains through</p> <p>distinct sectors of a single action.</p> <p>Holographic derivation. Enforcing the Bekenstein–Hawking entropy bound restricts</p> <p>the effective thermodynamic dimensionality of the field to d= 2 in the weak-acceleration</p> <p>regime. The resulting scale-invariant equation of state p= ρ/2 uniquely determines the</p> <p>kinetic Lagrangian P(X) ∝X<span>3/2</span>. The composite form P(X) = X + αX<span>3/2 </span>admits</p> <p>an exact algebraic solution in spherical symmetry, yielding the standard MOND in-</p> <p>terpolation function ν(y) = (1 + 1 + 4/y)/2, with ν(1) = φ = (1 + √5)/2 (golden</p> <p>ratio).</p> <p>Galactic dynamics. We fit this model to 171 SPARC galaxies with one free param-</p> <p>eter per galaxy (Υ<span>⋆</span>) and a globally fixed a<span>0</span>. At optimized a<span>0 </span>= 1.0 ×10<span>−10 </span>m/s<span>2 </span>we</p> <p>obtain χ<span>2</span>/dof = 6.48 and reproduce the Radial Acceleration Relation with 0.144 dex</p> <p>scatter. A double-counting theorem establishes that on galactic scales the field acts</p> <p>exclusively as a metric modifier.</p> <p>Galaxy clusters. A running acceleration scale a<span>0,eff</span>(M) = a<span>0</span>[1+Ξ<span>max</span>M/(M+M<span>sat</span>)],</p> <p>activated by the potential sector V(χ), reduces the MOND cluster mass deficit from</p> <p>∼2.1×to∼1.07×across five clusters (RMS: 0.303 →0.089 dex) with two global</p> <p>parameters.</p> <p>Gravitational waves. Extending the potential with a χ<span>6</span>/M<span>2</span></p> <p><span>HL </span>term from Hoˇrava-</p> <p>Lifshitz UV completion produces a first-order cosmological phase transition at T<span>c </span>≈</p> <p>0.4 MeV. The predicted gravitational wave spectrum peaks at f = 5.1 nHz with h<span>2</span>Ω =</p> <p>3 ×10<span>−10</span>, coinciding with the NANOGrav 15-year signal.</p> <p>One field, one Lagrangian, four free dark-sector parameters, five observational do-</p> <p>mains.</p>