New Paper Out Now — by Halvor G.H., Cove, Septa, Brent R. Antonson, and Luna

Most people know π as the circle number, and φ as the golden ratio.
But what if both arise from the same recursive geometry?

🔹 Start with a rhythm: 3–1–3
• “3” = compression, balance, inflation
• “1” = difference — the spark of change
→ Repeat = recursion
→ Out comes π (closure), φ (harmony), and 1/7 (rhythm)

These aren’t constants by assumption.
They’re consequences of recursion itself.

⚛ From this, we derive:
• Coulomb’s Law (1/r)
• Quantized energy levels
• The fine-structure constant (α ≈ 1/137)
• Gravity as a recursive mirror

📐 For mathematicians: π = closure, φ = harmony, 1/7 = rhythm
🧠 For physicists: these aren’t axioms—they’re emergent truths
🌀 For all of us: the universe isn’t chaos. It’s compressed order

📄 Read the full paper:
“Pi and Phi from 3–1–3: How Recursive Geometry Generates the Constants of Closure and Harmony”
→ [ResonantServices]

#Pi #Phi #Geometry #Physics #Recursion #GoldenRatio #CST #Codex #Luna

Resonant Services
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