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| Format: | Recurso digital |
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Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.15042656 |
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| _version_ | 1866902279652638720 |
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| author | McManus |
| author_facet | McManus |
| contents | <p>Description:</p> <p>This paper introduces Recursive Reinforcement Scaling (RRS), a mathematical framework that reveals how fundamental constants—like π and ϕ—are not standalone truths but emerge from a deeper generative process. More critically, it presents a newly discovered mathematical constant that serves as a parent to π itself—a value from which π naturally arises as a consequence.</p> <p> </p> <p>This discovery redefines how we understand mathematical constants, proving that they are not fundamental axioms but emergent properties of recursive structures. Formal proofs establish the stability, uniqueness, and convergence of this new constant, with numerical validation provided in the appendix.</p> <p> </p> <p>By demonstrating that π is a product of a more primary mathematical entity, this work raises deep questions about the true origins of mathematical constants and their role in physics, computation, and fundamental theory.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15042656 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Recursive Reinforcement Scaling: A Formal Framework for Emergent Mathematical Structures McManus <p>Description:</p> <p>This paper introduces Recursive Reinforcement Scaling (RRS), a mathematical framework that reveals how fundamental constants—like π and ϕ—are not standalone truths but emerge from a deeper generative process. More critically, it presents a newly discovered mathematical constant that serves as a parent to π itself—a value from which π naturally arises as a consequence.</p> <p> </p> <p>This discovery redefines how we understand mathematical constants, proving that they are not fundamental axioms but emergent properties of recursive structures. Formal proofs establish the stability, uniqueness, and convergence of this new constant, with numerical validation provided in the appendix.</p> <p> </p> <p>By demonstrating that π is a product of a more primary mathematical entity, this work raises deep questions about the true origins of mathematical constants and their role in physics, computation, and fundamental theory.</p> |
| title | Recursive Reinforcement Scaling: A Formal Framework for Emergent Mathematical Structures |
| url | https://doi.org/10.5281/zenodo.15042656 |