| _version_ | 1866901931127996416 |
|---|---|
| author | Pan, Guojun |
| author_facet | Pan, Guojun |
| contents | <div class="page"> <div class="layoutArea"> <div class="column"> <p>I propose a fixed-parameter topological projection mechanism for the Hubble tension. The mecha- nism is not a universal redshift remapping. A re- tained Chern-Weil transgression current fixes a low- energy normalization λ0 = 4παem, while the observ- able response is split by projection into an anchored absolute-scale channel and a suppressed unanchored shape channel. The same fixed branch can there- fore recenter an anchored supernova Hubble profile without imposing the full transport map on DES- SN5YR shape-only data. The residual shape leakage is ηsh = λ0Dsh. A topological-vortex trace gives</p> </div> </div> </div> <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> <div class="page"> <div class="layoutArea"> <div class="column"> <div> <div>With no continuous amplitude or shape-dressing parameter fitted to supernova shape data after the unit branch is fixed. The DES-SN5YR projected single-<span>χ2</span> shape gate yields <span>DDES=0.7154881544</span>, with a relative difference of <span>9.26×10−5</span>.</div> </div> <div> <div>Branch-resolved verification clarifies the necessity of projection: the universal frozen mapping is disfavored by DES shape likelihood, while the projected single-<span>χ2</span> branch maintains positive covariance-level combined constraints from supernova and DES datasets after implementing raw Pantheon+SH0ES and DES-SN5YR covariance matrices, giving <span>ΔχSN+DES2=+3.230685</span>.</div> </div> <div> <div>BAO, CMB and growth-related constraints all stay within valid boundary ranges in this verification framework. This provides a physical-mechanism interpretation for the low-redshift Hubble tension origin. The subsequent global constraint boundary relies on full joint sampling involving DESI, Planck, growth transfer effect and gravitational lensing effects, rather than additional phenomenological amplitude fitting parameters.</div> </div> </div> </div> </div> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20326512 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | A Fixed-Parameter Topological Projection Mechanism for the Hubble Tension Pan, Guojun Hubble tension topological redshift <div class="page"> <div class="layoutArea"> <div class="column"> <p>I propose a fixed-parameter topological projection mechanism for the Hubble tension. The mecha- nism is not a universal redshift remapping. A re- tained Chern-Weil transgression current fixes a low- energy normalization λ0 = 4παem, while the observ- able response is split by projection into an anchored absolute-scale channel and a suppressed unanchored shape channel. The same fixed branch can there- fore recenter an anchored supernova Hubble profile without imposing the full transport map on DES- SN5YR shape-only data. The residual shape leakage is ηsh = λ0Dsh. A topological-vortex trace gives</p> </div> </div> </div> <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> <div class="page"> <div class="layoutArea"> <div class="column"> <div> <div>With no continuous amplitude or shape-dressing parameter fitted to supernova shape data after the unit branch is fixed. The DES-SN5YR projected single-<span>χ2</span> shape gate yields <span>DDES=0.7154881544</span>, with a relative difference of <span>9.26×10−5</span>.</div> </div> <div> <div>Branch-resolved verification clarifies the necessity of projection: the universal frozen mapping is disfavored by DES shape likelihood, while the projected single-<span>χ2</span> branch maintains positive covariance-level combined constraints from supernova and DES datasets after implementing raw Pantheon+SH0ES and DES-SN5YR covariance matrices, giving <span>ΔχSN+DES2=+3.230685</span>.</div> </div> <div> <div>BAO, CMB and growth-related constraints all stay within valid boundary ranges in this verification framework. This provides a physical-mechanism interpretation for the low-redshift Hubble tension origin. The subsequent global constraint boundary relies on full joint sampling involving DESI, Planck, growth transfer effect and gravitational lensing effects, rather than additional phenomenological amplitude fitting parameters.</div> </div> </div> </div> </div> |
| title | A Fixed-Parameter Topological Projection Mechanism for the Hubble Tension |
| topic | Hubble tension topological redshift |
| url | https://doi.org/10.5281/zenodo.20326512 |