Scaling the Wall

The capstone. Its thesis fits in one sentence: the primes surrender their local structure freely and their global structure not at all, and the Riemann Hypothesis is the sharpest statement of that refusal. The book climbs the wall face by face — five faces, each a proven equivalence of RH: the oscillation face (four famous sums cancelling to square-root size), the positivity face (Li's criterion and Weil positivity), the completeness face (Nyman–Beurling), the extremal face (Robin's inequality), and the regularity face (the de Bruijn–Newman constant, where RH becomes Λ = 0). Then the walls beside it: Hilbert–Pólya and the operator wall, Deligne's theorem as RH proved "one floor up" via Ramanujan's τ, the twin corridor and its parity barrier, and a closing appendix sorting the famous reformulations into true equivalences, one-way implications, and two celebrated sharpenings that turned out to be false. Each chapter ends with a deterministic, standard-library-only verification program — run the wall yourself. Exercises with solutions, glossary, and a guided bibliography. 112 pages · 7×10" PDF · fully hyperlinked (10 DOI-linked sources, navigable outline) · 10 chapters plus appendix. Book Three of The Primes Trilogy — readable standalone; Chapter 1 rebuilds what it needs. Also available direct from the publisher: https://payhip.com/EfficientIntelligence