White Holes as Emergent Entropic Structures Within the Cosmological Thermosynthesis Theory v3.2: Non-Singular Cyclic Dynamics and Falsifiable Predictions

This work presents a rigorous mathematical formulation of white-hole-like phenomena within the Cosmological Thermosynthesis Theory v3.2 (TTC v3.2). While classical white holes arise as time-reversed solutions of the Schwarzschild metric in General Relativity, TTC v3.2 reinterprets them as emergent structures originating from entropic crystallization events in theprimordial etherion superfluid—an ultralight scalar field with mass me = (1.00±0.05)×10−22 eV. We demonstrate that the “Universal Hypernova”—the cyclic bounce mechanism at the end of each cosmological cycle of duration T = 24.93 Gyr exhibits observational signatures analogous to white-hole emission: outward-directed matter/energy flux, infrared-dominated spectra from dust-obscured ejecta, and non-thermal particle acceleration. Integrating recent observational constraints from JWST (early massive galaxies at z > 10), DESI DR2 (dynamic dark energy with w0 = −0.717, wa = −1.72), and LIGO-Virgo-KAGRA (black hole merger rates), we derive falsifiable predictions for next-generation surveys. All definitions specify domains, codomains, hypotheses, and mathematical spaces; lemmas and propositions are formally proved. The framework maintains strict epistemological boundaries between physical predictions and philosophical projections.