The Standard Cosmology as Theorem of GG-Theory: The Cosmic Inventory as Observations of One Six-Dimensional Geometry

For forty years the standard model of cosmology, ΛCDM, has described the universe with breathtaking precision and explained almost none of it: a handful of numbers, read off the sky, reproduce everything — yet the theory cannot say why those numbers take the values they do. This paper argues that they are not free. The same six-dimensional geometry that fixes the elementary particles, with no adjustable continuous dials, also forces the present-epoch shape of the cosmos: the contents fall into coupled powers of one number — the matter fraction 1/π, the dark-energy fraction 1-1/π, the ordinary-matter fraction 1/(2π²) — and the geometry's switch at the epoch of the first atoms sits at redshift e⁷, the exponential of a single whole number. Their ratios are fixed for all time. Inflation, today's acceleration (a cosmological constant, w=-1), and the dark matter — a light particle we call the Kaxion, near 8.1 μeV — follow from the same shape, the tilt and tensor ratio computed, not fitted (n_s = 0.962, r = 0.004). The two great puzzles of present-day cosmology appear in a new light: the Hubble tension as two readings of one geometric corridor, and the surprisingly early, massive galaxies seen by JWST read structurally, within the corridor's growth history. As in its companion paper on particle physics, this work states plainly which numbers it has fully derived, which rest on a single named step — now pinned down exactly: the timing of our observation — and which remain open, tuning nothing after the fact. If the argument holds, the cosmic inventory stops being unrelated accidents: its form is forced and the 10¹20 vacuum fine-tuning dissolved, leaving only a few-percent "why now" coincidence of timing — the one number read from the sky being when we look. 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/