CPT-Symmetric Cosmology with Primordial Mirror Entanglement: Boundary Regularity and Testable CMB Signatures

This preprint extends v1 (DOI: 10.5281/zenodo.18042776) of the CPT-symmetric cosmology framework with a refined theoretical framework and falsification strategy. Version 2 refinements (dated January 4, 2026) establish precedence for the core theoretical innovation developed in this series, while numerical implementations are ongoing. CORE CONTRIBUTIONS (Novel to this work) Derivation showing that source-free junction conditions (S_ij = 0) at the CPT-symmetric Janus point uniquely select antisymmetric (singlet) field matching: φ(η) = −φ(−η) Illustrative analysis demonstrating how boundary-induced mode mixing leads to primordial mirror entanglement and large-scale power suppression (rigorous squeezed-vacuum treatment deferred to a companion publication) Unified explanation in which a single entanglement amplitude r₀ ≈ 0.09 accounts for both the low-ℓ power deficit (~10%) and the hemispherical asymmetry (~7%) as isotropic and anisotropic projections Two falsifiable null tests:(1) TE zero-crossing shift Δℓ₀^TE ≈ +1.5(2) Non-zero parity-odd BipoSH correlations A^{1M,TE}_{ℓ,ℓ+1} ≠ 0 Concrete experimental timeline with decisive tests by 2033 (CMB-S4) and 2037 (LiteBIRD) THEORETICAL FOUNDATION The framework derives from standard General Relativity and quantum field theory in curved spacetime, requiring no modifications to inflation or late-time cosmology. The singlet selection rule (first introduced in v1, December 24, 2025) follows necessarily from requiring the Einstein equations to remain free of distributional sources at the cosmological boundary. PHENOMENOLOGICAL ELEMENTS (Requiring Further Development) Power spectrum suppression formP_obs(k) = P_vac(k) exp[−2 r₀ exp(−k / k_J)]is a phenomenological interpolation calibrated to Planck data (Astron. Astrophys. 641, A7, 2020) Mode-mixing treatment in Section III is qualitative and illustrative; a rigorous squeezed-vacuum variational derivation is deferred to a companion publication TE shift numerical value Δℓ₀^TE ≈ +1.5 is illustrative; precise prediction requires Boltzmann code implementation BipoSH amplitude forecasts are order-of-magnitude estimates; detailed simulations are forthcoming Dipolar dominance (L = 1) is a structural assumption; full multipole derivation is ongoing PRECEDENCE AND SCOPE This publication establishes priority for the following elements within this series: The singlet selection mechanism from junction regularity (v1: December 24, 2025) The qualitative framework connecting boundary conditions to power suppression (v2: January 4, 2026) The unified anomaly explanation framework (v2: January 4, 2026) The phase-based falsification tests (v2: January 4, 2026) Rigorous squeezed-vacuum derivation, numerical refinements via Boltzmann codes, and simulation frameworks are the subject of ongoing work and will be presented in companion publications. This version prioritizes establishing the theoretical foundation and falsification strategy. APPROPRIATE USE This work is suitable for: Establishing the conceptual framework in the literature Stimulating discussion of CPT-symmetric initial conditions Planning observational strategies for CMB-S4 and LiteBIRD Serving as a foundation for numerical implementation projects This work is not yet suitable for: Journal submission prior to numerical validation Definitive quantitative forecasts (estimates are illustrative) Citation as providing precise numerical predictions The author welcomes collaborative development of numerical implementations while maintaining priority for the core theoretical framework established here. TECHNICAL DETAILS Uses standard General Relativity (Israel junction conditions, 1966) and quantum field theory in curved spacetime. Predictions probe phase structure and are independent of amplitude degeneracies (e.g., τ–A_s). Key references include: Boyle et al. (Phys. Rev. Lett. 121, 2018), Planck (Astron. Astrophys. 641, 2020), CMB-S4 (arXiv:1907.04473), LiteBIRD (arXiv:2101.12449), Hajian & Souradeep (Astrophys. J. Lett. 597, 2003), Bhargava et al. (SciPost Phys. Core 4, 2021), and Hsiang & Hu (Universe 7, 2021).