The Kaxion: Cold Dark Matter as the Non-Spatial Compact-Angle Pseudoscalar of GG-6

Nearly a century ago, astronomers found that galaxies move as though they hold far more matter than we can see. Stars at the edges of spinning galaxies orbit too fast; the afterglow of the Big Bang bears the imprint of a substance outweighing ordinary atoms five to one. We call it dark matter, and no experiment has yet identified what it is. This paper offers an answer not invented for the purpose. In earlier papers of this series we built a theory from a few founding rules and showed that, with no adjustable numbers, it reproduces the known particles and forces. That same construction is forced to contain one more field: an exceedingly light, electrically neutral relic of the geometry we call the Kaxion. It is automatically dark, stable, and cold, and the early universe makes it in just the observed amount — about 27 percent of the cosmos. It also relaxes the strong nuclear force's vacuum angle to zero — a job the construction was not built to do. Because nothing about the Kaxion can be tuned, the theory is committed to three numbers: the microwave frequency at which to listen, near 1.95 gigahertz; the faintness of its glow into light; and two fingerprints — a partner-tone question answered at one part in thirty-five, and two channels locked five to two. Two programs aimed at this band — one running, one designed — would together reach this frequency and faintness, and would then either find the Kaxion or close the window. If they do, the substance that first gathered the galaxies will have been sounding one faint note since the universe's opening microsecond — a pitch fixed by a handful of whole numbers. Part of the GG-Theory program, a series of preprints developing a six-dimensional geometric framework and its consequences for particle physics, cosmology, and open-system dynamics. The complete series is available at https://preprints.arisaka-gg.org/