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2026
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| Online Access: | https://doi.org/10.5281/zenodo.19774854 |
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| author | Tudor, August |
| author_facet | Tudor, August |
| contents | <div class="OutlineElement Ltr SCXW50245530 BCX0"> <p class="Paragraph SCXW50245530 BCX0"><span class="TextRun SCXW50245530 BCX0"><span class="NormalTextRun SCXW50245530 BCX0">We present the rigorous mathematical bridge between Detection Ontology (DO) and our Non-Perturbative Quantum Field Theory (N-PQFT). We </span><span class="NormalTextRun SCXW50245530 BCX0">demonstrate</span><span class="NormalTextRun SCXW50245530 BCX0"> that the standard tools of lattice gauge theory—the Wilson Action, Hybrid Monte Carlo (HMC), and Renormalization Group (RG) Flow—are not merely numerical approximations but the direct operational mechanics of the Tetrahedral Quantum Point (TQP) mesh.</span></span><span class="EOP SCXW50245530 BCX0"> </span></p> </div> <div class="OutlineElement Ltr SCXW50245530 BCX0"> <p class="Paragraph SCXW50245530 BCX0"><span class="TextRun SCXW50245530 BCX0"><span class="NormalTextRun SCXW50245530 BCX0">We prove that quark confinement is a Refolding Event triggered when the Informational Load of a stretched Prime-Gap Lattice exceeds the Information-Viscosity Floor. We show that the fermion doubling problem is resolved by the Schur Positivity Filter, which prevents "Ghost Modes" from actualizing.</span></span><span class="EOP SCXW50245530 BCX0"> </span></p> </div> <div class="OutlineElement Ltr SCXW50245530 BCX0"> <p class="Paragraph SCXW50245530 BCX0"><span class="TextRun SCXW50245530 BCX0"><span class="NormalTextRun SCXW50245530 BCX0">We derive the Unfolding Equation (</span><span class="NormalTextRun SpellingErrorV2Themed SCXW50245530 BCX0">J_n</span><span class="NormalTextRun SCXW50245530 BCX0"> = 10^{\</span><span class="NormalTextRun SpellingErrorV2Themed SCXW50245530 BCX0">lambda_n</span><span class="NormalTextRun SCXW50245530 BCX0">} (2^{\omega(n)} - 2)) as the fundamental driver of Renormalization Group Flow, proving that the continuum limit is the asymptotic state of the Detection Operator. </span></span><span class="EOP SCXW50245530 BCX0"> </span></p> </div> <div class="OutlineElement Ltr SCXW50245530 BCX0"> <p class="Paragraph SCXW50245530 BCX0"><span class="EOP SCXW50245530 BCX0"> </span><span class="TextRun SCXW50245530 BCX0"><span class="NormalTextRun SCXW50245530 BCX0">We further </span><span class="NormalTextRun SCXW50245530 BCX0">demonstrate</span><span class="NormalTextRun SCXW50245530 BCX0"> that Monte Carlo sampling is the universe's Depth-First Search (DFS) algorithm, and that the Schur Complement in effective field theory is the mathematical equivalent of Tripartite Transcoding (26D \to 4D).</span></span><span class="EOP SCXW50245530 BCX0"> </span></p> </div> <div class="OutlineElement Ltr SCXW50245530 BCX0"> <p class="Paragraph SCXW50245530 BCX0"><span class="EOP SCXW50245530 BCX0"> </span><span class="TextRun SCXW50245530 BCX0"><span class="NormalTextRun SCXW50245530 BCX0">Detection Ontology </span><span class="NormalTextRun SCXW50245530 BCX0">emerges</span><span class="NormalTextRun SCXW50245530 BCX0"> as a computationally verified theory of the universe, resolving open problems in QFT through the lens of arithmetic computation.</span></span><span class="EOP SCXW50245530 BCX0"> </span></p> </div> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19774854 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Detection Ontology, Part 9: Non-Perturbative Quantum Field Theory as the Operational Mechanics of the TQP Mesh Tudor, August <div class="OutlineElement Ltr SCXW50245530 BCX0"> <p class="Paragraph SCXW50245530 BCX0"><span class="TextRun SCXW50245530 BCX0"><span class="NormalTextRun SCXW50245530 BCX0">We present the rigorous mathematical bridge between Detection Ontology (DO) and our Non-Perturbative Quantum Field Theory (N-PQFT). We </span><span class="NormalTextRun SCXW50245530 BCX0">demonstrate</span><span class="NormalTextRun SCXW50245530 BCX0"> that the standard tools of lattice gauge theory—the Wilson Action, Hybrid Monte Carlo (HMC), and Renormalization Group (RG) Flow—are not merely numerical approximations but the direct operational mechanics of the Tetrahedral Quantum Point (TQP) mesh.</span></span><span class="EOP SCXW50245530 BCX0"> </span></p> </div> <div class="OutlineElement Ltr SCXW50245530 BCX0"> <p class="Paragraph SCXW50245530 BCX0"><span class="TextRun SCXW50245530 BCX0"><span class="NormalTextRun SCXW50245530 BCX0">We prove that quark confinement is a Refolding Event triggered when the Informational Load of a stretched Prime-Gap Lattice exceeds the Information-Viscosity Floor. We show that the fermion doubling problem is resolved by the Schur Positivity Filter, which prevents "Ghost Modes" from actualizing.</span></span><span class="EOP SCXW50245530 BCX0"> </span></p> </div> <div class="OutlineElement Ltr SCXW50245530 BCX0"> <p class="Paragraph SCXW50245530 BCX0"><span class="TextRun SCXW50245530 BCX0"><span class="NormalTextRun SCXW50245530 BCX0">We derive the Unfolding Equation (</span><span class="NormalTextRun SpellingErrorV2Themed SCXW50245530 BCX0">J_n</span><span class="NormalTextRun SCXW50245530 BCX0"> = 10^{\</span><span class="NormalTextRun SpellingErrorV2Themed SCXW50245530 BCX0">lambda_n</span><span class="NormalTextRun SCXW50245530 BCX0">} (2^{\omega(n)} - 2)) as the fundamental driver of Renormalization Group Flow, proving that the continuum limit is the asymptotic state of the Detection Operator. </span></span><span class="EOP SCXW50245530 BCX0"> </span></p> </div> <div class="OutlineElement Ltr SCXW50245530 BCX0"> <p class="Paragraph SCXW50245530 BCX0"><span class="EOP SCXW50245530 BCX0"> </span><span class="TextRun SCXW50245530 BCX0"><span class="NormalTextRun SCXW50245530 BCX0">We further </span><span class="NormalTextRun SCXW50245530 BCX0">demonstrate</span><span class="NormalTextRun SCXW50245530 BCX0"> that Monte Carlo sampling is the universe's Depth-First Search (DFS) algorithm, and that the Schur Complement in effective field theory is the mathematical equivalent of Tripartite Transcoding (26D \to 4D).</span></span><span class="EOP SCXW50245530 BCX0"> </span></p> </div> <div class="OutlineElement Ltr SCXW50245530 BCX0"> <p class="Paragraph SCXW50245530 BCX0"><span class="EOP SCXW50245530 BCX0"> </span><span class="TextRun SCXW50245530 BCX0"><span class="NormalTextRun SCXW50245530 BCX0">Detection Ontology </span><span class="NormalTextRun SCXW50245530 BCX0">emerges</span><span class="NormalTextRun SCXW50245530 BCX0"> as a computationally verified theory of the universe, resolving open problems in QFT through the lens of arithmetic computation.</span></span><span class="EOP SCXW50245530 BCX0"> </span></p> </div> |
| title | Detection Ontology, Part 9: Non-Perturbative Quantum Field Theory as the Operational Mechanics of the TQP Mesh |
| url | https://doi.org/10.5281/zenodo.19774854 |