The Yang–Mills Mass Gap as a Consequence of the Entropic Barrier from P ≠ NP
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| Natura: | Recurso digital |
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2025
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| _version_ | 1866902309703778304 |
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| author | Ednyashev, Sanal |
| author_facet | Ednyashev, Sanal |
| contents | <p>This paper presents a formal deduction of the Yang–Mills mass gap based on the entropic barrier established in the resolution of the P ≠ NP problem. By modeling quantum field configurations as bounded-treewidth topological spaces and analyzing the entropy required to extract semantic excitation content, we show that a nonzero energy cost — the mass gap — is a necessary consequence. This result unites complexity theory and quantum field theory under a common entropic framework and supports the mathematical existence of a massive spectrum in Yang–Mills theory.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15319995 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Yang–Mills Mass Gap as a Consequence of the Entropic Barrier from P ≠ NP Ednyashev, Sanal <p>This paper presents a formal deduction of the Yang–Mills mass gap based on the entropic barrier established in the resolution of the P ≠ NP problem. By modeling quantum field configurations as bounded-treewidth topological spaces and analyzing the entropy required to extract semantic excitation content, we show that a nonzero energy cost — the mass gap — is a necessary consequence. This result unites complexity theory and quantum field theory under a common entropic framework and supports the mathematical existence of a massive spectrum in Yang–Mills theory.</p> |
| title | The Yang–Mills Mass Gap as a Consequence of the Entropic Barrier from P ≠ NP |
| url | https://doi.org/10.5281/zenodo.15319995 |