Projected Topological Redshift Branch for the Hubble Tension
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2026
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| _version_ | 1866901930925621248 |
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| author | Pan, Guojun |
| author_facet | Pan, Guojun |
| contents | <p class="ds-markdown-paragraph"><span class="">The Hubble tension can be formulated as a projection problem. A fixed low-redshift topological response can recenter an anchored supernova Hubble profile, while unanchored shape-only supernova data reject the corresponding universal redshift map. I develop a minimal two-sector Chern-Weil source model in which the retained transgression current K^\flat = *CS(A) supplies an Einstein-form topological source, and the low-energy normalization is fixed by the theta/Chern-Weil coefficient lambda_0 = 4 pi alpha_em, rather than by a supernova fit. The observationally viable branch is an observable projector with residual shape-only leakage eta_sh = lambda_0 D_sh. A topological-vortex thermodynamic branch gives a half-power calibration/shape baseline and a leading entropy-loop susceptibility correction,</span></p> <p class="ds-markdown-paragraph"><strong><span class="">D_sh^{vort} = [ 1/2 + (1 - pi alpha_em)/(4 pi^2) * ln(1/(4 pi alpha_em)) / ln(1/alpha_em) ]^{1/2} = 0.71555.</span></strong></p> <p class="ds-markdown-paragraph"><span class="">The DES-SN5YR one-chi^2 projected-branch gate gives D_sh^{DES} = 0.71549, a relative difference 9.3 × 10^{-5}. No parameter in the expression is fitted to this gate. The result closes the projected-branch mechanism needed for a Hubble-tension resolution, while leaving the stronger global test to a full SN+DESI BAO+CMB+growth likelihood.</span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20254656 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Projected Topological Redshift Branch for the Hubble Tension Pan, Guojun Hubble tension topological redshift <p class="ds-markdown-paragraph"><span class="">The Hubble tension can be formulated as a projection problem. A fixed low-redshift topological response can recenter an anchored supernova Hubble profile, while unanchored shape-only supernova data reject the corresponding universal redshift map. I develop a minimal two-sector Chern-Weil source model in which the retained transgression current K^\flat = *CS(A) supplies an Einstein-form topological source, and the low-energy normalization is fixed by the theta/Chern-Weil coefficient lambda_0 = 4 pi alpha_em, rather than by a supernova fit. The observationally viable branch is an observable projector with residual shape-only leakage eta_sh = lambda_0 D_sh. A topological-vortex thermodynamic branch gives a half-power calibration/shape baseline and a leading entropy-loop susceptibility correction,</span></p> <p class="ds-markdown-paragraph"><strong><span class="">D_sh^{vort} = [ 1/2 + (1 - pi alpha_em)/(4 pi^2) * ln(1/(4 pi alpha_em)) / ln(1/alpha_em) ]^{1/2} = 0.71555.</span></strong></p> <p class="ds-markdown-paragraph"><span class="">The DES-SN5YR one-chi^2 projected-branch gate gives D_sh^{DES} = 0.71549, a relative difference 9.3 × 10^{-5}. No parameter in the expression is fitted to this gate. The result closes the projected-branch mechanism needed for a Hubble-tension resolution, while leaving the stronger global test to a full SN+DESI BAO+CMB+growth likelihood.</span></p> |
| title | Projected Topological Redshift Branch for the Hubble Tension |
| topic | Hubble tension topological redshift |
| url | https://doi.org/10.5281/zenodo.20254656 |