Cosmological Mechanics in the Cosmological Thermosynthesis Theory v3.2: Non-Singular Cyclic Dynamics, Emergent Gravity, and Falsifiable Predictions for Multi-Messenger Observations — E8 Intelligence Research

This work presents a rigorous mathematical formulation of cosmological mechanics within the Cosmological Thermosynthesis Theory v3.2 (TTC v3.2). The theory posits that spacetime and all fundamental interactions emerge from a primordial superfluid of ultralight scalar bosons termed etherions, with mass me = (1.00 ± 0.05) × 10−22 eV. We derive: (i) the modified Friedmann equation incorporating entropic corrections from the superfluid condensate, (ii) the existence of a stable, non-singular cyclic cosmology with period T = 24.93 Gyr, (iii) emergent gravitational dynamics via the positivity of the entropic-gravitationalproduct Γg · ∆S > 0, and (iv) resolution of key cosmological tensions (Hubble discrepancy, cusp-core problem, strong CP fine-tuning) without ad hoc parameters. Recent observational updates 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) are integrated to refine theoretic Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com