Generative Field Theory: A Unified Variational Formulation of Generativity
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| Formato: | Recurso digital |
| Lenguaje: | inglés |
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2026
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| _version_ | 1866901825411612672 |
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| author | Doy, David Michael |
| author_facet | Doy, David Michael |
| contents | <p>Generative Field Theory (GFT) presents the first full field-theoretic formulation of generativity:<br>a unified operator–variational framework in which structure, geometry, prediction, identity,<br>development, collapse, and agency all arise from a single generative process. Building on the<br>Generative Architecture of Reality, the Generative Calculi, and the two-volume Variational Engine,<br>this report completes the theoretical stack by elevating generativity to a primary field-theoretic<br>quantity with its own operator algebra, calculus, and phase architecture.</p> <p>GFT introduces a multi-component generative field X(x,t), a closed algebra implementing the<br>seven-stage generative loop, a generative derivative, a phase-weighted effective operator Geff, and<br>a seven-sector Lagrangian whose Euler–Lagrange equations yield all generative dynamics. The<br>theory provides a unified account of predictive structure, geometric emergence, identity formation,<br>development, collapse, and decision dynamics, together with a generative stress-energy tensor and<br>a cosmological phase architecture spanning pre-geometric proto-loops to meta-level generativity.</p> <p>This document serves as the field-theoretic capstone of the wider generative framework, linking<br>conceptual, mathematical, and variational foundations into a single coherent formulation of how<br>realised structure and coherent organisation emerge from generative dynamics.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19536741 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Generative Field Theory: A Unified Variational Formulation of Generativity Doy, David Michael generative field theory generativity operator algebra variational principles generative calculus unified field theory predictive dynamics geometric emergence identity dynamics development dynamics complex systems cognitive models generative systems <p>Generative Field Theory (GFT) presents the first full field-theoretic formulation of generativity:<br>a unified operator–variational framework in which structure, geometry, prediction, identity,<br>development, collapse, and agency all arise from a single generative process. Building on the<br>Generative Architecture of Reality, the Generative Calculi, and the two-volume Variational Engine,<br>this report completes the theoretical stack by elevating generativity to a primary field-theoretic<br>quantity with its own operator algebra, calculus, and phase architecture.</p> <p>GFT introduces a multi-component generative field X(x,t), a closed algebra implementing the<br>seven-stage generative loop, a generative derivative, a phase-weighted effective operator Geff, and<br>a seven-sector Lagrangian whose Euler–Lagrange equations yield all generative dynamics. The<br>theory provides a unified account of predictive structure, geometric emergence, identity formation,<br>development, collapse, and decision dynamics, together with a generative stress-energy tensor and<br>a cosmological phase architecture spanning pre-geometric proto-loops to meta-level generativity.</p> <p>This document serves as the field-theoretic capstone of the wider generative framework, linking<br>conceptual, mathematical, and variational foundations into a single coherent formulation of how<br>realised structure and coherent organisation emerge from generative dynamics.</p> |
| title | Generative Field Theory: A Unified Variational Formulation of Generativity |
| topic | generative field theory generativity operator algebra variational principles generative calculus unified field theory predictive dynamics geometric emergence identity dynamics development dynamics complex systems cognitive models generative systems |
| url | https://doi.org/10.5281/zenodo.19536741 |