LAP1-B: A Primordial Star Cluster Candidate, Empirical Validation of the Cosmological Thermosynthesis Theory

We present a rigorous theoretical analysis of the gravitationally lensed stellar cluster LAP1-B at redshift z = 6.61 ± 0.02 (cosmic age 830 ± 15 Myr), observed by the James Webb Space Telescope (JWST). Within the framework of the CosmologicalThermosynthesis Theory (TTC v3.2), we interpret LAP1-B not as an anomaly but as a direct prediction of early structure formation driven by a primordial superfluid of ultralight scalar bosons (etherions) with mass me = (1.00 ± 0.05) × 10−22 eV. Wedemonstrate that the system’s extreme properties—Hα equivalent width 4200 Å, metallicity Z < 10−4Z⊙, and top-heavy initial mass function— arise naturally from thermosynthetic cycles in etherion-dominated mini-halos. All definitions specifydomains, codomains, hypotheses, and mathematical spaces; lemmas and propositions are formally proved. Quantitative agreement between TTC predictions and observations validates the theory’s resolution of the early galaxy formation tensionand establishes LAP1-B as a critical empirical test of the primordial superfluid paradigm.