Falsifiers from a Three-Letter Lattice: No Neutrinoless Double-Beta Decay, No Odd-Charge Dark Particles, No Magnetic Monopoles — and the ±4/3 Dark Seats and Two Dark Photons

Abstract

Abstract. Wavon Mechanics describes the charges of particles and the particle–antiparticle relation with 27 ordered strings of three letters a(0), b(+1), c(−1), and asingle complex number L that loads each position with a cube root of unity, ω = e2πi/3.This paper isolates three statements of impossibility that follow from the latticearithmetic alone and registers them as falsifiers for experiment. (1) The neutrino-likestring abc and the antineutrino-like string acb are different seats, so the neutrino is notits own antiparticle: the rate of neutrinoless double-beta decay (0νββ) is exactly zero. (2)The eight strings without the letter a (the dark sector) carry only even multiples of 1/3:there are no dark particles with charge ±1/3 or ±1. (3) Both components of L are alreadyused — the real part for electric charge, the imaginary part for handedness — so there isno seat for a magnetic charge: elementary magnetic monopoles do not exist. We alsorecord the lattice's distinctive dark structure — two seats of charge ±4/3 (bcc, cbb) andtwo dark photons (bbb, ccc) that are conjugates of each other (arithmetic only; theirphysical role is left open) — and note that the only long-lived dark bundles are neutral"dark neutrons" built from three mutually non-conjugate seats, which may therefore notannihilate with one another (a possibility, not a bet). Every statement is checked over all27 strings; code and output are given in the appendix.