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Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.17459624 |
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| _version_ | 1866901185121746944 |
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| author | ACOSTA PADILLA, ALFREDO LUIS |
| author_facet | ACOSTA PADILLA, ALFREDO LUIS |
| contents | <p><br>We present a novel framework for understanding algebraic numbers through <br>dimensional analysis in rational world extensions. Irrational numbers are <br>reinterpreted as rational elements in higher-dimensional spaces over ℚ, <br>with "irrationality" arising as an artifact of dimensional projection. <br>We demonstrate applications to the Fundamental Theorem of Algebra, <br>Intermediate Value Theorem, and algebraic calculus without limits.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17459624 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Rational Worlds: A Dimensional Framework for Algebraic Numbers ACOSTA PADILLA, ALFREDO LUIS Algebraic numbers, Field extensions, Dimensional analysis, Rational worlds, Fundamental Theorem of Algebra <p><br>We present a novel framework for understanding algebraic numbers through <br>dimensional analysis in rational world extensions. Irrational numbers are <br>reinterpreted as rational elements in higher-dimensional spaces over ℚ, <br>with "irrationality" arising as an artifact of dimensional projection. <br>We demonstrate applications to the Fundamental Theorem of Algebra, <br>Intermediate Value Theorem, and algebraic calculus without limits.</p> |
| title | Rational Worlds: A Dimensional Framework for Algebraic Numbers |
| topic | Algebraic numbers, Field extensions, Dimensional analysis, Rational worlds, Fundamental Theorem of Algebra |
| url | https://doi.org/10.5281/zenodo.17459624 |