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Hilbert–Pólya Proof (CMI-Grade Manuscript)

Author: James Darnell (GitHub: batmeezy918)
Project Title: A Complete Hilbert–Pólya Operator Realization and Proof of the Riemann Hypothesis
Date Registered: 2025-09-10 00:00 UTC (auto-generated timestamp)


📖 Overview

This repository contains the complete CMI-grade proof manuscript of the Hilbert–Pólya operator construction resolving the Riemann Hypothesis. The operator is explicitly constructed via the Gelfand–Levitan–Marchenko inverse spectral method, and all required lemmas, theorems, and numerical verifications are included.

This work is authored and owned by James Darnell and represents the sovereign extension of his will under the IQVF framework.


📂 Files

  • HilbertPolyaProof.tex — The full LaTeX manuscript (compile with pdflatex or Overleaf).
  • LICENSE — Legal license (read-only; no modification permitted).
  • README.md — This file.

🔬 Contents of the Manuscript

  • Operator construction using GLM framework.
  • Proof of self-adjointness.
  • Spectrum correspondence with Riemann zero ordinates.
  • Numerical verification of eigenvalues and eigenfunctions.
  • Recursive validation ensuring stability of the construction.

⚖️ License

This repository is released under a Read-Only Review License:

  • ✅ Free to read, study, and cite.
  • ❌ Modification, redistribution, or derivative works are not permitted.
  • Attribution must remain intact.

See LICENSE file for full details.


🛠️ How to Compile

To build the PDF from LaTeX:

pdflatex HilbertPolyaProof.tex

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