Element Synthesis and BBN Derivation Chain from Φ2 = Φ + 1 Closed

Key Points

• To establish a closed derivation chain for the inputs to big-bang nucleosynthesis from the axiom Φ2 = Φ + 1.
• Utilized an asymmetric spiral framework for element synthesis.
• Derived the baryon-to-photon ratio ηB and expansion history tβ = tP φβ.
• Identified geometric primary sources for deuteron formation at intersection nodes.
• States the closed derivation chain without introducing free parameters.
• Documents the status of light-element abundances including Yp, D/H, and 7Li/H.