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PreprintCC BY 4.0Zenodo

Model Tajín v3: The S/U Equation, Cosmological Factor H0 = 67 km/s/Mpc, and Baryonic MAD Recycling — Sgr A_ as Galactic Ejector

Abstract

We present the updated formulation of Model Tajín (v3), integrating the cosmological factor H0=67 km/s/Mpc anchored to Planck 2020 ( 67.4±0.5 km/s/Mpc) and JWST CCHP TRGB 69.85 and JAGB Carbon 67.96 km/s/Mpc, discarding SH0ES 73.04 due to crowding systematics. We propose the phenomenological structure-to-unit coordinate S/U(z)=(2/R)(1+z)−1 and its direct link to baryonic recycling mediated by Magnetically Arrested Disks (MAD) observed in M87_ and Sgr A_ by the Event Horizon Telescope. The model yields today S/U(0)=0.8, i.e. Ωclustered=0.2 and Ωvoid=0.8 without fine tuning. Sgr A_ 4×106M⊙ ejects S5-HVS1 at 1800 km/s via Hills mechanism 4.8 Myr ago, feeding the IGM. We establish falsifiable predictions: cold mass increment +0.8M⊙ in Gaia BH3 ( 32.7M⊙, 590 pc, ED-2 stream) testable with Gaia DR4.

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BibTeX
@misc{rosas2026model,
  title = {{Model Tajín v3: The S/U Equation, Cosmological Factor H0 = 67 km/s/Mpc, and Baryonic MAD Recycling — Sgr A_ as Galactic Ejector}},
  author = {MARTIN HERNANDEZ ROSAS},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23673927},
  url = {https://zenodo.org/records/23673927},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Model Tajín v3: The S/U Equation, Cosmological Factor H0 = 67 km/s/Mpc, and Baryonic MAD Recycling — Sgr A_ as Galactic Ejector
AU  - MARTIN HERNANDEZ ROSAS
PY  - 2026
DA  - 2026/10/26
PB  - Zenodo
DO  - 10.5281/zenodo.23673927
UR  - https://zenodo.org/records/23673927
AB  - We present the updated formulation of Model Tajín (v3), integrating the cosmological factor H0=67 km/s/Mpc anchored to Planck 2020 ( 67.4±0.5 km/s/Mpc) and JWST CCHP TRGB 69.85 and JAGB Carbon 67.96 km/s/Mpc, discarding SH0ES 73.04 due to crowding systematics. We propose the phenomenological structure-to-unit coordinate S/U(z)=(2/R)(1+z)−1 and its direct link to baryonic recycling mediated by Magnetically Arrested Disks (MAD) observed in M87_ and Sgr A_ by the Event Horizon Telescope. The model yields today S/U(0)=0.8, i.e. Ωclustered=0.2 and Ωvoid=0.8 without fine tuning. Sgr A_ 4×106M⊙ ejects S5-HVS1 at 1800 km/s via Hills mechanism 4.8 Myr ago, feeding the IGM. We establish falsifiable predictions: cold mass increment +0.8M⊙ in Gaia BH3 ( 32.7M⊙, 590 pc, ED-2 stream) testable with Gaia DR4.
ER  -