Low-Multipole Suppression from Distinguishable-History Capacity

We isolate a parameter-free route to large-angle CMB suppression within the Cosmochrony framework. The previous phenomenological low- envelope of the white paper is replaced by a distinguishable-history mechanism. The central geometric input is the S³ fibre decomposition, whose uniform moment split gives a fibre-to-base spectral stiffness ratio $8/3$ once the Born–Infeld saturation factor is included. The central low- input is not a vanishing early growth rate, but the small absolute number of distinguishable projective histories at the first admissibility ranks. For the canonical Pell counting channel of the trajectory-branching note, \[ {Nₕᵢₛₜ}(n)={(1+√2)ⁿ⁺¹+(1-√2)ⁿ⁺¹}{2}, \] so Nₕᵢₛₜ(1)=3, Nₕᵢₛₜ(2)=7, and Nₕᵢₛₜ(3)=17: large angular modes probe a regime with very few distinguishable histories, a bounded-history effect on the admissible large-angle power rather than an adjustable damping law. The companion projection-kernel note derives the Bessel envelope used below as the exact information-theoretic capacity ceiling of a complex Gaussian mode supported on N distinguishable histories, carrying the entropy-to-power step as a conditional theorem chain. A 2×2 grid of parameter-free envelopes and angular dictionaries, anchored only by n=1↔=2, is confronted with the Planck 2018 spectra without any fitting: on TT (2≤≤30) every cell improves on , with diagnostic χ² dropping from $27.4$ to $17.3$ for the theoretically preferred cell (Bessel envelope with the H-dictionary); TE is neutral and EE mildly disfavoured, consistently with the fact that no dedicated low- polarization transfer treatment is included at this stage. The envelope is a staircase in (integer admissibility ranks), a distinctive discrete signature. The independent $8/3$ geometric witness is re-audited and predicts the separate modulation-scale ratio √8/31.633.