preprints_ui: g2yac_v1
Data license: ODbL (database) & original licenses (content) · Data source: Open Science Framework
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| g2yac_v1 | Recursive Expansive Hypergeometric Calculus | We introduce the Recursive Expansive Hypergeometric Calculus (REHC), a novel and unified mathematical framework incorporating recursion, fractality, and non-locality. We formalize this approach through axioms derived from recursive Lie algebra theory, hypergeometric field theory, fractional recursive calculus, multifractal spacetime geometry, recursive gauge theory, and influence sheaf cohomology. Our theorems establish its consistency, stability, and broad applicability, suggesting extensions to Lie theory, differential geometry, quantum gravity, and field theory. Numerical validation demonstrates the computational feasibility and robustness of this framework, providing a foundation for further exploration. | 2025-05-01T06:15:07.522414 | 2025-05-01T06:18:20.697589 | 2025-05-01T06:17:39.651196 | 2025-01-31T05:00:00 | thesiscommons | 1 | pending | 1 | 1 | https://doi.org/10.31237/osf.io/g2yac_v1 | CC-By Attribution 4.0 International | [] | Julian Del Bel | [{"id": "rgxk5", "name": "Julian Del Bel", "index": 0, "orcid": "0009-0008-1143-4193", "bibliographic": true}] | Julian Del Bel | Physical Sciences and Mathematics | [{"id": "59bac90254be8103137da28b", "text": "Physical Sciences and Mathematics"}] | https://osf.io/download/68131173739d96d8cf5ef93c | 0 | not_applicable | not_applicable | [] | 2025-05-02T00:11:55.732692 |