This working paper proposes a physical mechanism for the distribution of primes and the location of the non-trivial zeros of the Riemann zeta function, based on the interference of two chiral conjugate modes on a logarithmic spiral with broken holonomy. Version 3 reported the numerical falsification of an elementary candidate phase function and replaced it with a refined conjecture requiring the phase function to carry multiplicative (prime-factorisation) information, restricting it to two natural candidates (von Mangoldt weights or Dirichlet character sums from ℚ(ζ₄₂₀)⁺). Version 4 adds a structural resolution of a natural objection to the companion construction: since the relevant Dedekind zeta function factorises into 48 Dirichlet L-functions, of which only one is ζ(s), the question arises why ζ(s) is singled out; it is shown to be the trivial-character sector of the Galois action, turning the objection into a structural feature. The paper is explicit throughout about the boundary between what is established and what remains conjectural, in particular the spectral identification and the derivation of the 1/q undertone law.
Krische Josef (Mon,) studied this question.