From Static Quantity to Structural State: Noncommutativity as a Function of Structural Memory
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| Format: | Recurso digital |
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2026
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| _version_ | 1866901197400571904 |
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| author | Dominguez-Digat, Antonio |
| author_facet | Dominguez-Digat, Antonio |
| contents | <p>This work develops a foundational reinterpretation of noncommutativity within the Model of General Quasi-Coherence (MGQC). Rather than treating the classical identity ab=ba as a universal axiom of magnitude, the article argues that commutativity may be understood as a structurally restricted limit case associated with regimes in which structural memory is absent, suppressed, or dynamically irrelevant. On this basis, numerical entities are reinterpreted not as context-free static quantities, but as structured states capable of retaining internal history.</p> <p>The paper introduces the quasi-number</p> <p>q=(r,θ,τ,μ)</p> <p>and develops a first memory-sensitive composition scheme in which order-dependence becomes mathematically intelligible through structural accumulation. It discusses the classical scalar limit, commutativity islands within globally noncommutative systems, the relation between noncommutativity and retained state, and the broader idea of coherent commutativity. An illustrative orientational coupling model is also included as an example of how structural asymmetry can arise operationally without yet claiming a completed algebraic theory.</p> <p>The contribution of the article is foundational and structural rather than a finished coherent algebra of quasi-numbers. It is intended as part of the broader MGQC research program and as a step toward a richer mathematical ontology in which number is treated as state rather than only as static value</p> <p>This article forms part of the Model of General Quasi-Coherence (MGQC) research program.<br>The author publishes under the name Antonio Dominguez-Digat. Earlier records may appear under Antonio Domínguez, Antonio Dominguez, or Antonio Dominguez Digat.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19673817 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | From Static Quantity to Structural State: Noncommutativity as a Function of Structural Memory Dominguez-Digat, Antonio MGQC quasi-numbers structural memory structural accumulation noncommutativity coherent commutativity contextual algebra regime dependence order-dependence limiting commutativity <p>This work develops a foundational reinterpretation of noncommutativity within the Model of General Quasi-Coherence (MGQC). Rather than treating the classical identity ab=ba as a universal axiom of magnitude, the article argues that commutativity may be understood as a structurally restricted limit case associated with regimes in which structural memory is absent, suppressed, or dynamically irrelevant. On this basis, numerical entities are reinterpreted not as context-free static quantities, but as structured states capable of retaining internal history.</p> <p>The paper introduces the quasi-number</p> <p>q=(r,θ,τ,μ)</p> <p>and develops a first memory-sensitive composition scheme in which order-dependence becomes mathematically intelligible through structural accumulation. It discusses the classical scalar limit, commutativity islands within globally noncommutative systems, the relation between noncommutativity and retained state, and the broader idea of coherent commutativity. An illustrative orientational coupling model is also included as an example of how structural asymmetry can arise operationally without yet claiming a completed algebraic theory.</p> <p>The contribution of the article is foundational and structural rather than a finished coherent algebra of quasi-numbers. It is intended as part of the broader MGQC research program and as a step toward a richer mathematical ontology in which number is treated as state rather than only as static value</p> <p>This article forms part of the Model of General Quasi-Coherence (MGQC) research program.<br>The author publishes under the name Antonio Dominguez-Digat. Earlier records may appear under Antonio Domínguez, Antonio Dominguez, or Antonio Dominguez Digat.</p> |
| title | From Static Quantity to Structural State: Noncommutativity as a Function of Structural Memory |
| topic | MGQC quasi-numbers structural memory structural accumulation noncommutativity coherent commutativity contextual algebra regime dependence order-dependence limiting commutativity |
| url | https://doi.org/10.5281/zenodo.19673817 |