The Proton as Twin Prime Resonance: Colour Structure, Field Energies, and Mass from First Principles

The proton's colour structure is conventionally described by three abstract labels assigned by SU(3) gauge symmetry with equal field strengths. This paper derives the colour field strengths from first principles within the Bootstrap Universe framework. The sine wave is shown to be the unique real projection of self-referential rotation: the eigenfunction of d/dθ is e^(iθ), and physical observation projects this onto the real axis. From this foundation, the six irreducible colour positions of the proton are derived as the twin prime pairs (5,7), (11,13), (17,19) — the complete set of mod 24 prime residues within the Hodge-star self-dual band, selected by Eisenstein three-phase cancellation. The golden angle…