Taijitu Relaxation Cosmology (TRC) v5.0 A Minimal Eternal Model with Emergent Tilt, CPT-Conjugate Mirror Sector, and Testable Multi-Messenger Signatures

Taijitu Relaxation Cosmology (TRC) v5.0 is a minimalist, eternally cyclic cosmological model based on a single complex scalar field Φ in a tilted double-well potential. The emergent tilt ε (~10^{-3}–10^{-2}) arises from Coleman-Weinberg corrections and drives nonsingular bounces, unifying dark energy (via vacuum relaxation), dark matter (CPT-conjugate mirror sector), baryon asymmetry, neutrino masses, primordial perturbations, and resolution of the Hubble tension within standard Einstein gravity - without inflation. This version integrates advanced technical features: a peaked stochastic gravitational wave background (testable with LISA), unified perturbation framework across cosmic scales (addressing core-cusp and σ₈ issues), black holes as local mini-bounces, and a multi-messenger test roadmap (ISW excess, 21-cm modulations, etc.). TRC offers a falsifiable alternative to ΛCDM with correlated predictions across CMB, gravitational waves, and large-scale structure. For the philosophical narrative dual (“The Breathing Drop” – Taijitu-inspired story of eternal duality), see the separate note file. Keywords: cyclic cosmology, bounce cosmology, CPT mirror sector, dark energy, dark matter, Hubble tension, stochastic GW background, multi-messenger astronomy, Coleman-Weinberg tilt. Independent research by Michael Lehmann. Previous versions: v4.0: https://zenodo.org/records/17944963v3.0: https://zenodo.org/records/17917109v2.0: https://zenodo.org/records/17842042