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Monographs

Five editions of the AB-cloud monograph live under monographs/.

v22 — rewritten from scratch on the verified suite

Edition Path Contents
Русский monographs/ru/text/ md · html · docx · pdf · pptx · preprint (tex+pdf)
English monographs/en/text/ the same set
中文 monographs/zh/text/ the same set

Each edition ships 19 figures at 600 dpi with captions in the language of the edition (monographs/<lang>/figures/), a 14-slide dark-theme presentation, and an arXiv-style preprint.

The v22 editions are anchored to the 37-test suite: every number in the text is bound to a named test and its log.

Structure of the v22 monograph

  1. Introduction and the Hilbert–Pólya programme in computable form
  2. Mathematical apparatus (ζ zeros, RMT ensembles, the Hofstadter-vortex Hamiltonian)
  3. Block 1 — Klein quartic and 64 spinor structures (idx = 38, Z = 14.10)
  4. Block 2 — the cloud as a phase resonator (geometry independence)
  5. Block 3 — Montgomery test vs certified zeros (KS = 0.047)
  6. Block 4 — optimality of the critical line σ = 1/2
  7. Block 5 — electron/positron model (Dirac cone, annihilation, pair creation)
  8. Synthesis — ζ zeros as codes of allowed states
  9. Conclusions, open problems, appendices (codes, tables)