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| Format: | Recurso digital |
| Language: | English |
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Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.17064374 |
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| _version_ | 1866902141131554816 |
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| author | R. Andrade, Pedro |
| author_facet | R. Andrade, Pedro |
| contents | <p><strong>The Pervasiveness of Compression</strong><br>The Theory of Absolutely Everything (ToAE) proposes that reality fundamentally arises from the recursive compression of information, mapping potential states to actualized configurations. This principle, postulated as the core mechanism of the universe, manifests across scales and domains:</p> <p>- In <strong>physical systems</strong>, compression governs the formation of structures from atomic lattices to galactic spirals.<br>- In <strong>biological systems</strong>, it explains patterns in phyllotaxis, shells, and other naturally recurring forms.<br>- In <strong>informational contexts</strong>, it underlies optimal coding, learning, and the emergence of patterns from complex data.</p> <p>This work leverages the ToAE postulate of compression as a unifying mechanism, showing that spiral formation is a natural geometric consequence of information density minimization on a plane, inviting the analysis of the emergence of such patterns in higher dimensional systems.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17064374 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Spiral Formation from Information Compression: A Plane-Based Derivation R. Andrade, Pedro Mathematics Geometry Information Theory ToAE <p><strong>The Pervasiveness of Compression</strong><br>The Theory of Absolutely Everything (ToAE) proposes that reality fundamentally arises from the recursive compression of information, mapping potential states to actualized configurations. This principle, postulated as the core mechanism of the universe, manifests across scales and domains:</p> <p>- In <strong>physical systems</strong>, compression governs the formation of structures from atomic lattices to galactic spirals.<br>- In <strong>biological systems</strong>, it explains patterns in phyllotaxis, shells, and other naturally recurring forms.<br>- In <strong>informational contexts</strong>, it underlies optimal coding, learning, and the emergence of patterns from complex data.</p> <p>This work leverages the ToAE postulate of compression as a unifying mechanism, showing that spiral formation is a natural geometric consequence of information density minimization on a plane, inviting the analysis of the emergence of such patterns in higher dimensional systems.</p> |
| title | Spiral Formation from Information Compression: A Plane-Based Derivation |
| topic | Mathematics Geometry Information Theory ToAE |
| url | https://doi.org/10.5281/zenodo.17064374 |