Golden and Stubborn: The Twin Prime Mechanism from the Golden Ring

University of Southampton

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Abstract

The proton's three colour domains — twin prime pairs (5,7), (11,13), (17,19) on S³/2I — each contain two distinct prime characters determined by the golden ring ℤ[φ]. Golden primes (p ≡ ±1 mod 5) split into growth × decay; stubborn primes (p ≡ ±2 mod 5) refuse to split; the genesis prime 5 creates the ring. Each pair deploys both characters differently: RED (genesis + stubborn), GREEN (golden + stubborn), BLUE (stubborn + golden). The Hodge star preserves the cycling direction but swaps which character does which job. The golden angle field function confirms the physics: RED rises through zero (charge +2/3), GREEN stays positive (neutral), BLUE crashes through zero (charge −1/3). The twin prime gap χ = 2 is…

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Authors

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Topics & keywords

Keywords
  • Fibonacci number
  • Golden ratio
  • Prime (order theory)
  • Character (mathematics)
  • Ring (chemistry)
  • Position (finance)
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