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Zenodo
2026
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| Online-Zugang: | https://doi.org/10.5281/zenodo.20326722 |
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Inhaltsangabe:
- <div class="page"> <div class="layoutArea"> <div class="column"> <p>We present a fixed-scale, cross-domain conjecture centered on the dimensionless value</p> <p><strong>λ0 = 4παem = 0.091701236889,</strong></p> <p>and on its direct quarter-scale projection παem = 0.02293. The value is motivated by an</p> <p>intrinsic Chern–Weil/Pontryagin to electromagnetic θ-term normalization on a unit branch,</p> <p>giving λ0 = θe2 = 4παemθ. This normalization is logically independent of any rank-two</p> <p>gravitational embedding: the latter supplies a possible current seat for a retained Chern–</p> <p>Simons current, but it does not determine the low-energy unit branch or the number λ0.</p> <p>The paper is organized as a double closure. The theory closure separates four layers that are</p> <p>often conflated: a rank-two current seat, a low-energy normalization, branch dressings or</p> <p>projectors, and fixed-observable tests. The observational closure then asks whether a fixed</p> <p>numerical scale survives positive tests, negative controls, and independent channels without</p> <p>retuning. In Pantheon+SH0ES low-redshift anchoring, the fixed response gives ∆χ2 = 6.6894</p> <p>at H0 = 67.24 km s−1 Mpc−1, with a negligible high-redshift tail. In the dark-sector estimate,</p> <p>the candidate annihilation scale is 0.67 − −0.80 times the standard thermal target, while</p> <p>direct-detection compatibility requires suppressed or pseudoscalar-mediated spin-independent</p> <p>scattering. In CENER A15 dynamic-stall data, the fixed prediction kc = παem gives a three-</p> <p>point ratio error of 1.35%, a full-curve MAPE of 0.88%, and passes blind three-laboratory</p> <p>replication with MAPE values 1.49 − −1.65%. The same universal redshift map fails on the</p> <p>DES-SN5YR shape-only Hubble diagram, giving ∆χ2 = −159.69 for N = 1820. This failure</p> <p>is retained as a necessary projector constraint rather than hidden as an outlier. A candidate</p> <p>vortex-thermodynamic closure gives ηsh = λ0Dsh, with Dvort = 0.7155544 compared with sh</p> <p>the DES one-χ2 gate conversion DDES = 0.7154882, a relative difference 9.3 × 10−5 without sh</p> <p>fitting the DES gate. 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 logical chain is stated, positive and negative controls are both retained, and the decisive missing closures are made explicit.</p> </div> </div> </div>