preprintOpen MINDFeb 8, 2026GREEN OA

The Proton as an Icosahedral Three-Phase Motor

University of Southampton

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Abstract

The proton is a three-phase standing wave occupying one icosahedral period of the spacetime lattice. The period length 24 = (D+1)! = d2 − 1 partitions exactly into 18 + 1 + 5: three quark domains of D! = 6 positions each, a boundary at position 19, and a confinement gap of d = 5. Each colour domain contains a bridge at its (D+1)th position, yielding bridges at positions 5, 11, and 17 — the lower members of the three twin prime pairs (5,7), (11,13), (17,19) below the icosahedral boundary. The confinement boundary 19 = 11 + 8 decomposes into bridge (V − 1 = 11) plus phase spacing (24/3 = 8). Electric charge is quantised by the charge quantum 36 = DV = (D!)2: the up quark at position 72 = 3 × 24 is closed (wraps…

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Topics & keywords

Keywords
  • Quark
  • Charge radius
  • Charge (physics)
  • Proton
  • Color charge
  • Vertex (graph theory)
  • Asymmetry
  • Icosahedral symmetry
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