Monopolons II: The Proton and Hadrons
The proton is a three-wavelength trefoil knot of continuous electromagnetic field. This paper derives the structure of the magnetic sector of matter from that single geometric fact. The three lobes of the trefoil are what experiments identify as quarks — not separate particles, but inseparable structural features of one continuous knot. Confinement is topological. Fractional charges, the mass gap, colour charge, and SU(3) symmetry all follow from the geometry.
The proton is a three-wavelength trefoil knot of continuous electromagnetic field. This paper derives the structure of the magnetic sector of matter from that single geometric fact.
The three lobes of the trefoil are what experiments identify as "quarks". They are not separate particles — they are inseparable structural features of one continuous knot. Confinement is topological: you cannot extract a lobe from a trefoil without cutting the field. Fractional charges arise because each lobe carries one-third of the total topological flux, and the specific values +2e/3 and −e/3 are uniquely determined by the constraint that the proton carries charge +e and the neutron carries charge 0.
The mass gap is a counting constraint: the minimal stable closed-flux configuration requires three complete wavelengths. You cannot form a stable knot from fractional wavelengths.
Colour charge is the relational orientation geometry of the three bound bivector lobes, and the group SU(3) is its combinatorics. The proton spin crisis resolves as a geometric projection factor: a 1-plane electromagnetic probe measuring a 3-plane bivector system returns approximately one-third. The neutron lifetime discrepancy resolves via the Drogue Effect: magnetic coupling to vacuum fluctuations stabilises bound neutrons relative to free ones.
Both the Yang-Mills mass gap and the absence of free magnetic monopoles dissolve: the gap is a counting constraint on closed topologies, and magnetic monopoles are what we have been calling "quarks". The Standard Model's SU(3) gauge symmetry is the formal description of the trefoil's three-fold rotational geometry, not a fundamental postulate. The "strong force" is electromagnetic field tension in wound topology — literally Maxwell stress in a three-wavelength knot at subatomic scale.