Timeless Dual Equilibrium Cosmology (TDEC) v2.0: CPT-Symmetric Sectoral Projections from a Static Bell-like Geometric State

Timeless Dual Equilibrium Cosmology (TDEC) v2.0 is a minimal, nonsingular, and highly testable cosmological framework formulated entirely within Einstein gravity and a single complex scalar field. The theory is fundamentally timeless and globally CPT-symmetric: the entire cosmic history (including the observed 13.8 billion years of expansion) emerges as a sectoral thermodynamic projection from a single static, Bell-like entangled geometric state on a two-dimensional warped-product manifold. Time, entropy production, the arrow of time, dark energy (as slow vacuum relaxation with w > −1), dark matter (as CPT-conjugate mirror-sector baryons), and the baryon asymmetry all arise naturally without inflation, modified gravity, bounces, or additional degrees of freedom. Version 2.0 significantly strengthens the theoretical foundation:• Full dynamical selection proof of the Bell-like state with explicit Lyapunov exponents and measure-theoretic attractor analysis (Appendix B)• Complete QFT robustness analysis (no ghosts, controlled backreaction, dispersion relations) – Section 11• Extended prior-independent MCMC analysis with Euclid and CMB-S4 forecasts – new Appendix C TDEC makes concrete, correlated, and falsifiable predictions:• Stochastic gravitational-wave background peaked at 10^{-3}–10^{-2} Hz (LISA window)• Percent-level suppression in fσ_8(z)• 21-cm modulations at the 0.2–0.3 % level (SKA)• ΔN_eff ≈ 0.1–0.3 All signatures are controlled by a single new parameter α ≈ 0.008. TDEC offers a radically minimalist and conceptually deep alternative to ΛCDM in which the Universe is not a dynamical story with a beginning, but a timeless, self-stabilising geometric structure whose only “dynamics” is the gentle preservation of its own perfect symmetry. This upload contains the full LaTeX source (v2.0), the compiled PDF, and the modified CLASS module (upon request). Keywords: timeless cosmology, CPT symmetry, Bell state cosmology, dual equilibrium, mirror sector dark matter, arrow of time, quantum cosmology, nonsingular cosmology, cosmological relaxation, alternative to LambdaCDM Michael Lehmann @[email protected]