SPT0418-47: A Critical Validation of the Cosmological Thermosynthesis Theory

This article presents a fully rigorous mathematical formulation of the implications of JWST observations of the lensed galaxy SPT0418-47 (z ≈ 4.225) for the Cosmological Thermosynthesis Theory (TTC v3.2). In TTC, all physical phenomena emerge from a primordial superfluid of ultralight scalar bosons—etherions—with mass me = (1.00 ± 0.05) × 10−22 eV.Every definition includes explicit domain, codomain, hypotheses, and ambient function space. Lemmas, propositions, and theorems are formally stated with explicit assumptions, and all proofs are fully justified by prior results or established theorems. The framework explains the observed maturity of SPT0418-47—including solar-level metallicity, PAH molecules, and a companion galaxy—through (i) accelerated chemical enrichment peaking at z ∼ 10–12 driven by entropic crystallization, and (ii) modified gravitational lensing due to superfluid fluctuations in the etherion condensate. These mechanisms resolve the Hubble tension, the cusp–core problem, and early structure formation without ad hoc parameters. Crucially,we declare all additional hypotheses (e.g., compactness of spacetime); without them, results fail, as demonstrated by counterexamples with divergent integrals. Falsifiable predictions are provided for JWST, Euclid, XRISM, and future high-redshift surveys.