Quantum Field Theory as Emergent Information Geometry A Rigorous Derivation from Classical and Quantum Information Manifolds
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| Format: | Recurso digital |
| Langue: | anglais |
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Zenodo
2026
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| _version_ | 1866901204625260544 |
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| author | li, yuanjian |
| author_facet | li, yuanjian |
| contents | <p>This paper develops the second major component of the ``information = matter'' unified theory. While Paper A established the geometric field equations (\OE{1}--\OE{3.1}), the present work demonstrates that \emph{quantum field theory (QFT) itself emerges from information geometry}. We construct a precise mathematical bridge from (i) classical information manifolds $(\cP,G)$, (ii) quantum information manifolds $(\cM_{\mathrm{Q}},G^{\mathrm{Q}})$, and (iii) operator-algebraic structures, to the full machinery of QFT: creation/annihilation operators, propagators, path integrals, and renormalization. All derivations are explicit and rigorous. Several original equations (\OE{B-n}) are introduced, representing the core structural laws by which QFT emerges from information geometry.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19327380 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Quantum Field Theory as Emergent Information Geometry A Rigorous Derivation from Classical and Quantum Information Manifolds li, yuanjian information = matter unified theory <p>This paper develops the second major component of the ``information = matter'' unified theory. While Paper A established the geometric field equations (\OE{1}--\OE{3.1}), the present work demonstrates that \emph{quantum field theory (QFT) itself emerges from information geometry}. We construct a precise mathematical bridge from (i) classical information manifolds $(\cP,G)$, (ii) quantum information manifolds $(\cM_{\mathrm{Q}},G^{\mathrm{Q}})$, and (iii) operator-algebraic structures, to the full machinery of QFT: creation/annihilation operators, propagators, path integrals, and renormalization. All derivations are explicit and rigorous. Several original equations (\OE{B-n}) are introduced, representing the core structural laws by which QFT emerges from information geometry.</p> |
| title | Quantum Field Theory as Emergent Information Geometry A Rigorous Derivation from Classical and Quantum Information Manifolds |
| topic | information = matter unified theory |
| url | https://doi.org/10.5281/zenodo.19327380 |