This paper is in progress. The conversation that shaped it is recorded in the April 10 session notes. Key results are summarized below; full paper development is underway.
Each quark is a torsional soliton in the memion lattice — a stable, self-reinforcing wave structure that maintains its identity through continuous interaction with the substrate. Like the electron, a quark is not a point particle sitting in space but a wave pattern that occupies a region of the lattice. Each quark-soliton generates death noise continuously from its internal dynamics.
The region between two quarks receives death noise from both. This inter-soliton gap acts as a waveguide. When the gap is narrow, long wavelengths cannot fit — the zone stays cool, death noise is suppressed, and the diffusive attraction between the quarks is weak. As the quarks are pulled apart, more wavelengths enter from the sides. The inter-soliton temperature rises, strengthening the diffusive attraction. This is the confinement mechanism: string tension as waveguide cutoff.
The harder you pull the quarks apart, the more wavelengths fit, the hotter the gap, the stronger the attraction. The string does not weaken with distance — it strengthens. This is quark confinement, arising mechanically from waveguide geometry without additional mechanism.
Asymptotic freedom was not designed into this picture. It fell out of the waveguide geometry as a direct consequence. The same mechanism that produces confinement at large separation automatically produces weak coupling at close separation — because close together, the gap is below cutoff and the temperature is regulated down. Quarks interact weakly when close and strongly when far. This is the defining signature of the strong force, and it emerges here without being put in.
The nuclear force is not a separate mechanism from gravity. It is the same death-noise-refraction mechanism operating at extreme death rates. As death rate increases near a nucleon, the refractive gradient both steepens and compresses spatially — self-steepening. What is a long-range 1/r² field at cosmic scales becomes a short-range, exponentially cutoff confinement force at nuclear scales. There is no sharp boundary between gravity and the strong force — there is a continuous intensification of the same mechanism.
| Question | Notes |
|---|---|
| Waveguide cutoff wavelength vs. quark separation | Does this set the confinement radius quantitatively? |
| Three-quark geometry | How does the waveguide picture extend to a proton? What does the Y-shaped string junction look like in lattice terms? |
| Running coupling constant | Does the waveguide cutoff model reproduce the QCD running coupling constant? |
| Diffusive attraction force law | Derive from random walk statistics. Does it reproduce the linear confinement potential? |
| Quark repulsion mechanism | Topological charge repulsion at very close range — full mechanical derivation needed. |