The Transfinite and the Finite Channel: The Absolute Frame Theory's Conjecture, the M--A Capacity Bound, and the Non-Absorbability of the Continuum

Conjecture VII of Absolute Frame Theory (AFT) is the information-theoretic bound on physical realizability: it distinguishes mathematical objects of finite Kolmogorov complexity, realizable in the observable manifold M, from the transfinite, which the finite-capacity M--A channel cannot absorb. This note settles a remaining question---whether the irrational constants of the programme's predictions, such as √2 and π, are on the transfinite side---and clarifies what Conjecture VII does and does not assert. We separate three levels at which a real number relates to M: the generative program of a computable real, which is finite and M-realizable; any finite-precision realization, which a finite capacity supplies; and the exact point of the continuum, the completed infinite-precision value, which requires transfinite information and is not absorbable. The constants √2 and π are computable and therefore M-realizable; the transfinite is not these constants but the continuum on which they sit. The robust statement is not about the length of a digit string---$1/3$ also has an infinite expansion---but about the uncountability of the real line against a channel that resolves only finitely many distinguishable states. We separate three senses of the word Gödelian in the programme (identifiability, computability, and self-reference), and we identify the one falsifiable physical face of the bound: the macroscopic-coherence ceiling Ncrit, the saturation of the channel capacity, finite because the capacity is finite. The transfinite limit is the unphysical Ncrit→∞. The constant-fingerprint reading is declared a non-result, a post-hoc correspondence without predictive content. The note thereby places the transfinitude question precisely: it dissolves into the programme's identifiability-and-capacity frame, with Ncrit as its empirical shadow.