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New preprint:
Axis Completeness and Boundary Duality under Descent on Qₙ
DOI: 10.5281/zenodo.18752009
zenodo.org/records/187520…
This work studies quotients of the hypercube group Qₙ \cong \mathbb{F}_2^n under a descent condition and proves:
• Descent forces translation invariance and linear quotient structure V/H
• Admissibility implies a Two-Type restriction \dim(V/H) \le 1
• Compositional tracking reduces to a consistency condition on the induced binary label
• Undecidability appears as a structural boundary phenomenon
• Under a fixed base signature, no new independent structural axes can arise (Axis Completeness)
Fully formal and self-contained.
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