What question did this study set out to answer?

To present the finalized version of the Conceptual Triptych (CT) explaining cosmological phenomena.

April 21, 2026Open Access

Conceptual Triptych — Version V22.1

Key Points

To present the finalized version of the Conceptual Triptych (CT) explaining cosmological phenomena.
Detailed mathematical formulations and theoretical constructs based on complex scalar fields in curved spacetime.
Analysis of cosmological parameters and their implications for baryogenesis and particle masses.
Core cosmological parameters established without observational input, including n_s=0.9652 and r=0.00364.
Structural results indicate critical values for dark energy mass and baryogenesis at specified confidence intervals.
Correction of formula errors and improvements in presentation in final document version.

Abstract

EN DESCRIPTION Complete final version of the Conceptual Triptych (CT). The CT describes cosmology from the Big Bang to baryogenesis, starting from a single postulate: a complex scalar field ψ = √ρ e^iS in curved spacetime. (1) Exact core (zero observational input): ξ*=1/6 (Parker-Toms), Vₘin=√2−1 ∈ ℤ√2, d=3, Nf=3, w=−1, ηV=4√2/3 ∈ ℚ (√2) (arrow of time), sin (2φ*) =N䅙 (√₅) /䅙 (√₂) -norm (baryogenesis), Nᵣeh × sin²θ₁₂ = φ². (2) Structural results (no adjustable CT parameter): nₛ=0. 9652 (0. 07σ Planck), r=0. 00364, mDE=2. 79 meV, sin²θ₁₂ (PMNS) at 0. 7%, ηB at 97. 7%. (3) Extended Triptych ET-V1 (DOI: 10. 5281/zenodo. 19534343): sin²θW, αₛ, CKM, Theorem G. (4) Open points (CT): autonomous Tᵣeh, neutrino seesaw MR, μ=√ (2/3) formal — individual quark and lepton masses: ET-V2. This version corrects the label of the AS Conjecture in V19 (DOI: 10. 5281/zenodo. 19479093). Replaces V21. 1 (DOI: 10. 5281/zenodo. 19533270). V22. 1 corrects a formula error in Appendix G of V22: Λ (σ) = 4·TQ/Tcl (instead of Tcl/TQ). Layout improved. DESCRIPTION FR Version finale complète du Triptyque Conceptuel (TC). Le TC décrit la cosmologie depuis le Big Bang jusqu'à la baryogenèse depuis un unique postulat: un champ scalaire complexe ψ = √ρ e^iS en espace-temps courbe. (1) Noyau exact (zéro input observationnel): ξ*=1/6 (Parker-Toms), Vₘin=√2−1 ∈ ℤ√2, d=3, Nf=3, w=−1, ηV=4√2/3 ∈ ℚ (√2) (flèche du temps), sin (2φ*) =N䅙 (√₅) /䅙 (√₂) -norme (baryogenèse), Nᵣeh × sin²θ₁₂ = φ². (2) Résultats structuraux (zéro paramètre TC): nₛ=0. 9652 (0. 07σ Planck), r=0. 00364, mDE=2. 79 meV, sin²θ₁₂ (PMNS) à 0. 7%, ηB à 97. 7%. (3) Triptyque Étendu TE-V1 (DOI: 10. 5281/zenodo. 19534343): sin²θW, αₛ, CKM, Théorème G. (4) Points ouverts (TC): Tᵣeh autonome, seesaw MR, μ=√ (2/3) formel — masses individuelles des quarks et leptons: TE-V2. Cette version corrige le label de la Conjecture AS dans V19 (DOI: 10. 5281/zenodo. 19479093). Remplace V21. 1 (DOI: 10. 5281/zenodo. 19533270). V22. 1 corrige une erreur de formule dans l’Annexe G de V22: Λ (σ) = 4·TQ/Tcl (au lieu de Tcl/TQ). Mise en page améliorée.

Conceptual Triptych — Version V22.1

Key Points

Abstract

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