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

Timeless Dual Equilibrium Cosmology (TDEC) is a minimal, nonsingular and fundamentally timeless cosmological framework formulated within standard Einstein gravity and a single complex scalar field. The theory is globally CPT-symmetric. Time, entropy production, causal structure, 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 emerge as sectoral thermodynamic projections of a single underlying static, Bell-like entangled spacetime geometry defined on a two-dimensional warped-product manifold. No inflation, no modified gravity, no ultraviolet bounce corrections and no additional degrees of freedom are required. The two sectors remain permanently entangled in a static equilibrium, stabilised by a weak gravitationally mediated relaxation parameter α that acts as a continuous dissipative stabiliser (analogous to weak monitoring that preserves a Bell state). The framework yields concrete, falsifiable predictions including a characteristic stochastic gravitational-wave background at 10⁻³–10⁻² Hz, 21-cm modulations at the 0.2–0.3 % level, deviations ΔN_eff ∼ 0.1–0.3, and percent-level corrections to fσ8(z). It constitutes a highly testable, self-contained alternative to ΛCDM in which the entire cosmic evolution is the asymptotic equilibrium state of a single timeless, maximally entangled geometric structure. Full derivation of the UV geometry, effective field theory, background dynamics, linear and nonlinear perturbations, mirror-sector phenomenology and quantitative observational forecasts are included. Michael Lehmann @mi.lehmann@gmx.de