Orbit-multiplier resurgence and the Borel geometry of the Feigenbaum cascade in Aether fractals

The companion paper (doi:10.5281/zenodo.19210339) established that the Borel structure of the Class C stable-area law A(K) ~ C K^{-2} for the Aether fractal family is entirely determined by a single square-root singularity at s* = 1, and that the three dynamical transition values K_cusp ≈ 11.047, K_acc ≈ 14.905, and K* ≈ 25 are smooth points of that structure. The present paper resolves the three questions raised in the companion paper, §6.4. We study the orbit-multiplier sequence λ_{2^n}(K) along the period-doubling cascade and prove: (i) The imaginary orbit map admits a period-doubling cascade accumulating at K_acc^{1D} ≈ 14.7666, distinct from the 2D parameter-space accumulation K_acc^{2D} ≈ 14.9048, with…