Part I: Exact Algebraic Identification of K3 String Vacua: Resolving Fuzzy Dark Matter Tensions via Automated Phenomenological Sieving
Year: 2026
Type: preprint
Abstract: This preprint formalizes the exact algebraic identification of K3 String Vacua as a solution to current tensions in the Fuzzy Dark Matter (FDM) paradigm, particularly concerning the James Webb Space Telescope (JWST) high-redshift galaxy mass observations. By employing the SocrateAI Scientific Agora ecosystem and adhering to strict "Zero Simulation Flottante" and Lean 4 mechanical verification rules, we demonstrate that a mass-varying axion, driven by the expansion of the topological $T^2$ torus in a $K3 \times T^2$ compactification, naturally yields a ~19% heavier initial dark matter mass at the epoch of recombination ($z = 1100$). This mathematically and empirically resolves the anomalously dense galaxies observed by JWST without requiring modifications to standard $\Lambda$CDM structural formation timelines. Note: All proofs are fully verified in the Lean 4 kernel with zero unverified axioms or sorry stubs. Phenomenological alignments are backed by raw physical execution logs utilizing Astroquery/VizieR data.
Author: Callens, Xavier
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7166174194
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