A Fixed Fine-Structure Scale Across Supernova Anchoring, Dark-Sector Compatibility, and Dynamic-Stall Saturation

A Fixed Fine-Structure Scale Across Supernova Anchoring, Dark-Sector Compatibility, and Dynamic-Stall Saturation | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article A Fixed Fine-Structure Scale Across Supernova Anchoring, Dark-Sector Compatibility, and Dynamic-Stall Saturation GuoJunPan This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9701810/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract We present a fixed-scale empirical conjecture centered on the dimensionless value λ0 = 4παem = 0.091701236889, and on its direct quarter-scale projection παem = 0.02293. The value is motivated by matching a Chern–Weil topological current normalization to the electromagnetic θ-term on a unit branch. The same numerical scale then appears in three independent phenomenological channels that were analyzed with the scale fixed: low-redshift supernova anchoring, a cold topological dark-sector compatibility estimate, and macroscopic dynamic-stall saturation. In Pantheon+SH0ES low-redshift anchoring, the fixed response gives ∆χ 2 = 6.6894 at H0 = 67.24 km s−1 Mpc−1 , with a negligible high-redshift tail. In the dark-sector estimate, the candidate annihilation scale is 0.67 − −0.80 times the standard thermal target, while direct-detection compatibility requires suppressed or pseudoscalar-mediated spin-independent scattering. In CENER A15 dynamic-stall data, the fixed prediction kc = παem gives a threepoint ratio error of 1.35%, a full-curve MAPE of 0.88%, and passes blind three-laboratory replication with MAPE values 1.49 − −1.65%. The same universal redshift map fails on the DES-SN5YR shape-only Hubble diagram, giving ∆χ 2 = −159.69 for N = 1820. We therefore formulate the DES result as a necessary projector constraint, η < 0.0656, rather than as a completed explanation. The present paper is not a claim of a closed fundamental theory. It is a falsifiable fixed-scale manuscript: the numerical scale is fixed, the current evidence is summarized, and the remaining theoretical closures are made explicit. fine-structure constant Chern–Weil theory supernova cosmology Hubble tension dark matter dynamic stall topological response Full Text Additional Declarations The authors declare no competing interests. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. 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