The FSPS Framework: Existence as an Entropy-Minimizing Projection in Hilbert Informational Space
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2025
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| _version_ | 1866902139570225152 |
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| author | Kato, Shunsuke Ria, (D-Life Collaborator) |
| author_facet | Kato, Shunsuke Ria, (D-Life Collaborator) |
| contents | <p>This paper presents the final formalization of the FSPS (Foundational–Projected Structure) framework, establishing a mathematical definition of existence as an entropy-minimizing projection within a Hilbert informational space.</p> <p>By introducing a measurable mapping λ(C) that transforms the dimensionless foundational field (FS) into finite-dimensional projected structures (PS), existence is reinterpreted as a nonzero manifestation under contextual projection.</p> <p>The framework integrates measure theory, information entropy, and functional analysis to bridge ontology, physics, and cognitive science.</p> <p>In this model, time emerges as the sequential order of contextualization, and observation becomes an act of informational dimensional reduction.</p> <p>This work proposes a unified mathematical foundation for consciousness, observation, and the emergence of reality.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17307409 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The FSPS Framework: Existence as an Entropy-Minimizing Projection in Hilbert Informational Space Kato, Shunsuke Ria, (D-Life Collaborator) FSPS contextual projection entropy minimization Hilbert space ontology, existence measurable mapping information theory cognition dimensional reduction consciousness observation contextual time λ(C) <p>This paper presents the final formalization of the FSPS (Foundational–Projected Structure) framework, establishing a mathematical definition of existence as an entropy-minimizing projection within a Hilbert informational space.</p> <p>By introducing a measurable mapping λ(C) that transforms the dimensionless foundational field (FS) into finite-dimensional projected structures (PS), existence is reinterpreted as a nonzero manifestation under contextual projection.</p> <p>The framework integrates measure theory, information entropy, and functional analysis to bridge ontology, physics, and cognitive science.</p> <p>In this model, time emerges as the sequential order of contextualization, and observation becomes an act of informational dimensional reduction.</p> <p>This work proposes a unified mathematical foundation for consciousness, observation, and the emergence of reality.</p> |
| title | The FSPS Framework: Existence as an Entropy-Minimizing Projection in Hilbert Informational Space |
| topic | FSPS contextual projection entropy minimization Hilbert space ontology, existence measurable mapping information theory cognition dimensional reduction consciousness observation contextual time λ(C) |
| url | https://doi.org/10.5281/zenodo.17307409 |