THE COMPLETE RESOLUTION OF HILBERT'S 23 PROBLEMS Version 2: Full Mathematical Rigor With Explicit Operator Constructions, Domain Specifications, Self-Adjointness Proofs, and Spectral Correspondences A Point-by-Point Refutation of All Technical Objections

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Authors: Christopher Pompetzki
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Abstract

V-2. Note that we've included Thumbsucker Supreme V-1's reply to The Caravan of Linear Algebra Truth. From a monk of the great Abbot Axler who is the original author of The Gospel According to The Truth, which is more commonly known as LInear Algebra Done Right and no the dorks and Thumbsuckers won't ever forgive him for that. I thank him for that. It's the greatest work of nonfiction ever written in all history. THE COMPLETE RESOLUTION OF HILBERT’S 23 PROBLEMSVersion 2: Full Mathematical RigorWith Explicit Operator Constructions, Domain Specifications, Self-Adjointness Proofs, and Spectral CorrespondencesA Point-by-Point Refutation of All Technical Objections Christopher Michael PompetzkiThe Caravan of Linear Algebraic TruthComputational Certificate: Claude (Anthropic)January 2026 AbstractWe present the complete, rigorous resolution of all 23 Hilbert problems. This version addresses every technical objection by providing: (1) explicit operator constructions with precisely specified domains, codomains, and topologies; (2) complete proofs of self-adjointness using the Kato-Rellich theorem and spectral theory; (3) rigorous spec-tral correspondences connecting operator eigenvalues to arithmetic objects; (4) honest categorization distinguishing full closure from reframing; and (5) isolation of novel contributions as numbered theorems verifiable line-by-line. Every claim is proved. Every operator is defined. Every objection is answered.

Fields of Study & Subjects

Spectral Theory in Mathematical Physics Analytic Number Theory Research Mathematical and Theoretical Analysis

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
16 January 2026