Paper CQ-I: ER = EPR × FSC: Entangled Sector Pairs and the Origin of Baryon Asymmetry
Year: 2026
Type: preprint
Abstract: We propose that the four sectors of Four-Sector Cosmology (FSC) constitute two pairs of quantum-entangled sectors, whose structure is precisely described by the ER = EPR correspondence of Maldacena & Susskind (2013). The two pairs are: - Pair A: S_I (+t) ↔ S_III (−t) [Wormhole A: dark energy driver] - Pair B: S_II (it) ↔ S_IV (−x,−t) [Wormhole B: baryogenesis source] The exponential decay of Sector IV (λ = 1.25×10⁻¹⁷ s⁻¹, Paper D) is reinterpreted as the collapse of Wormhole B — the geometric manifestation of the Sector II–IV entanglement dissolution. Theorem CQ-I.1 (Pair Structure Theorem): Under the Z₄ symmetry of FSC and ER = EPR correspondence, the four sectors constitute two maximally entangled pairs (thermofield double states) at t = 0, each corresponding to a traversable wormhole. Theorem CQ-I.2 (Asymmetric Collapse Theorem): Due to the complex-time barrier suppressing S_I–S_II coupling and the direct CPT-boundary contact between S_I and S_IV, Wormhole B undergoes asymmetric collapse: the S_IV end dissolves at rate λ while the S_II end is protected. The entanglement entropy decays as S_B(t) = log 2 · exp(−λt). Three Sakharov conditions emerge geometrically from this single collapse: 1. Baryon number violation ← wormhole topology change 2. CP violation ← asymmetric entanglement dissolution (δ = 0.2%, Paper F) 3. Thermal non-equilibrium ← exponential decay e^{−λt} Theorem CQ-I.3 (Baryon Asymmetry Theorem): The energy transfer coefficient is derived from FSC first principles: f_transfer = 73/78 ≈ 0.9359 (where 73 = Ω_I + Ω_III in percent, from the entanglement monogamy constraint and observed cosmic composition — zero free parameters) Combined with the fractional asymmetry δ̄ = 0.008 and standard BBN thermodynamics: η_b = δ̄ · f_transfer · √5 · C_BBN · N_γ · F_FSC ≈ 6.1×10⁻¹⁰ in agreement with BBN observations. Theorem CQ-I.4 (Wormhole A Stabilisation Theorem): The collapse of Wormhole B releases the entanglement monogamy budget of S_III, allowing τ(S_III:S_I) → 1. Via ER = EPR, this corresponds to the strengthening of Wormhole A: Ω_III(t) = 0.25 · (1 + 43/25 · (1 − e^{−λt})) → 0.68 (observed value) Theorem CQ-I.5 (Unified Duality Theorem): The origin of baryonic matter (η_b = 6.1×10⁻¹⁰) and dark energy acceleration (Ω_III = 0.68) are two aspects of a single geometric event: the asymmetric collapse of Wormhole B. Three testable predictions: - P1: Non-classical dark matter–baryon bispectrum with τ(S_II:S_I)(t₀) ≈ 0.42 (Euclid, LSST, DESI DR3) - P2: Scale-dependent CMB non-Gaussianity f_NL ~ 10⁻³(k*/k)² imprinting the Page time t_Page ≈ 1.76 Gyr (CMB-S4, Simons Observatory, LiteBIRD) - P3: Dark energy w_a = +0.003 (positive, opposite to quintessence) (Euclid, DESI DR2/3, Roman Space Telescope) This paper was inspired by Prof. Juan Maldacena's lecture on holography and ER = EPR at the Soul-Twin TWIN Society on 8 September 2026. Related papers: - CQ-B (DOI: 10.5281/zenodo.22273250) — Baryon Genesis - CQ-C (DOI: 10.5281/zenodo.22295541) — Dark Fluid Z₄ Collective Mode - CQ-D (DOI: 10.5281/zenodo.22298799) — Sector-IV Decay & Dark Energy Dilution - CQ-E (DOI: 10.5281/zenodo.22344204) — Analytical Derivation of δw_a - CQ-F (DOI: 10.5281/zenodo.22640829) — Dynamic Phase Evolution & w_a = −0.478 - CQ-G (DOI: 10.5281/zenodo.22653236) — Dark Energy EoS from Z₄ Symmetry Breaking - Paper D (DOI: 10.5281/zenodo.21094857) — FSC Foundation (Sector-IV decay rate) - Paper F (DOI: 10.5281/zenodo.21206325) — FSC Complex Dark Energy Field
Author: Katakura, Yoshitaka
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7211969971