The Generative Architecture: From Distinction to Quantisation — A Variational Theory of Generative Systems
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| Formato: | Recurso digital |
| Lenguaje: | inglés |
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2026
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| _version_ | 1866902005334671360 |
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| author | Doy, David Michael |
| author_facet | Doy, David Michael |
| contents | <p><span><strong>Title:</strong> <em>The Generative Architecture: From Distinction to Quantisation — A Variational Theory of Generative Systems</em> <strong>Author:</strong> David Michael Doy <strong>Date:</strong> May 2026</span></p> <p><span><strong>Description:</strong> This work presents the variational foundations of the Generative Architecture, a unified mathematical framework in which reality emerges from a single primitive act: distinction. Beginning with the origin chain — nothingness → imbalance → collapse → action → massless field → D — the theory derives the three operational primitives (Possibility, Coherence, Boundary) as projections of D and develops the full generative dynamics that follow from them.</span></p> <p><span>The central contribution of this volume is the explicit construction of the <strong>coherence functional</strong> ℂ, the <strong>generative tension invariant</strong> I, and the <strong>conserved quantity</strong> G=D+I′. These elements form the variational backbone of the architecture, enabling the derivation of the <strong>generative action</strong> S[X], the <strong>canonical Hamiltonian</strong>, the <strong>Hamilton–Jacobi equation</strong>, and the <strong>functional Schrödinger equation</strong> without importing external physical primitives.</span></p> <p><span>A key result is the introduction of an <strong>emergent quantum scale</strong> ℏeff, defined not axiomatically but as the fluctuation amplitude of the generative action around stationary coherence‑ascent trajectories. This provides a natural route from distinction to quantisation and establishes a direct bridge between the generative loop, variational dynamics, and quantum behaviour.</span></p> <p><span>The document includes: • the explicit form of the coherence functional and its role in collapse, development, and geometry • the unified generative master equation and its variational derivation • the path‑integral formulation of generative dynamics • the emergence of an effective metric and Einstein‑like field equation • the operational definition of ℏeff from simulation‑level fluctuations</span></p> <p><span>Together, these results show how quantum structure, geometric dynamics, and cognitive organisation arise from a single generative principle. This volume serves as the technical foundation for the broader Generative Architecture programme and complements the full monograph <em>The Generative Architecture of Reality</em>.</span></p> <p><span><strong>Keywords:</strong> generative architecture, primitive distinction, coherence functional, variational dynamics, emergent quantisation, generative action, collapse dynamics, emergent geometry, unified field framework, generative systems theory.</span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20288829 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Generative Architecture: From Distinction to Quantisation — A Variational Theory of Generative Systems Doy, David Michael generative architecture primitive distinction variational dynamics coherence functional emergent quantisation generative action collapse dynamics emergent geometry unified field framework generative systems theory <p><span><strong>Title:</strong> <em>The Generative Architecture: From Distinction to Quantisation — A Variational Theory of Generative Systems</em> <strong>Author:</strong> David Michael Doy <strong>Date:</strong> May 2026</span></p> <p><span><strong>Description:</strong> This work presents the variational foundations of the Generative Architecture, a unified mathematical framework in which reality emerges from a single primitive act: distinction. Beginning with the origin chain — nothingness → imbalance → collapse → action → massless field → D — the theory derives the three operational primitives (Possibility, Coherence, Boundary) as projections of D and develops the full generative dynamics that follow from them.</span></p> <p><span>The central contribution of this volume is the explicit construction of the <strong>coherence functional</strong> ℂ, the <strong>generative tension invariant</strong> I, and the <strong>conserved quantity</strong> G=D+I′. These elements form the variational backbone of the architecture, enabling the derivation of the <strong>generative action</strong> S[X], the <strong>canonical Hamiltonian</strong>, the <strong>Hamilton–Jacobi equation</strong>, and the <strong>functional Schrödinger equation</strong> without importing external physical primitives.</span></p> <p><span>A key result is the introduction of an <strong>emergent quantum scale</strong> ℏeff, defined not axiomatically but as the fluctuation amplitude of the generative action around stationary coherence‑ascent trajectories. This provides a natural route from distinction to quantisation and establishes a direct bridge between the generative loop, variational dynamics, and quantum behaviour.</span></p> <p><span>The document includes: • the explicit form of the coherence functional and its role in collapse, development, and geometry • the unified generative master equation and its variational derivation • the path‑integral formulation of generative dynamics • the emergence of an effective metric and Einstein‑like field equation • the operational definition of ℏeff from simulation‑level fluctuations</span></p> <p><span>Together, these results show how quantum structure, geometric dynamics, and cognitive organisation arise from a single generative principle. This volume serves as the technical foundation for the broader Generative Architecture programme and complements the full monograph <em>The Generative Architecture of Reality</em>.</span></p> <p><span><strong>Keywords:</strong> generative architecture, primitive distinction, coherence functional, variational dynamics, emergent quantisation, generative action, collapse dynamics, emergent geometry, unified field framework, generative systems theory.</span></p> |
| title | The Generative Architecture: From Distinction to Quantisation — A Variational Theory of Generative Systems |
| topic | generative architecture primitive distinction variational dynamics coherence functional emergent quantisation generative action collapse dynamics emergent geometry unified field framework generative systems theory |
| url | https://doi.org/10.5281/zenodo.20288829 |