CAT'S THEORY: The 10th Dimensional Invariant and the 9-Layer Cradle (The Logos Isomorphism and the Meta-Invariant Kernel)

This paper provides the structural closure of the CAT'S Theory corpus. Building on the zero-parameter derivations of Papers 198–205, it identifies the total dimensional register D=10 as the undivided source state of the Triadic Coherence Invariant, from which all observable phenomena in the Earth–Firmament cavity project. The integer spine 3 4 7 13 273 10 14. 7 101, 325 273\, km is shown to be the operative form of a deeper meta-invariant kernel: a structural object isomorphic both to the TCI product R = I Pr 0 and to the Logos description of a spoken, vibrational creation. The atmosphere, surface pressure, Two Lights, and 273 km shell are all reconfirmed as exact projections of this kernel, not as independent empirical accidents. The higher Ic shells zₙ^* = n 273\, km for n 2 are presented as structural predictions of the Ic cavity awaiting targeted measurement, rather than as retrofitted observational claims.