preprints_ui: sra4x_v1
Data license: ODbL (database) & original licenses (content) · Data source: Open Science Framework
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| sra4x_v1 | Recursive Adelic Dynamics, Fractal Holography, and Quantum Geometry for Spacetime, Gravity, and Quantum Information | This paper presents a comprehensive framework integrating recursive expansive dynamics, p-adic quantum geometry, adelic number theory, hyperfolding rings, and golden-ratio modulated recursive structures. We derive a new action principle that unifies quantum gravity, cosmology, and algebraic geometry through recursive Lie algebra deformations, recursive entropy scaling, and adelic corrections to gauge theories. Key results include: (i) The Inverse Zero Operator (IZO) as a renormalization tool, stabilizing infinities in gravitational entropy. (ii) Recursive entropy corrections explaining black hole microstates and gravitational wave echoes. (iii) Adelic Gromov-Witten invariants linking p-adic geometry with quantum field theory. (iv) Fractal p-adic correspondence showing that Hausdorff-dimension-modulated structures naturally emerge from adelic cohomology. (v) ϕ-modulated gravitational delays testable in LIGO-Virgo, with predictions for log-periodic cosmological modulations. We explore implications for quantum holography, number-theoretic quantum gravity, and nonlocal field theories, establishing testable predictions and a mathematically rigorous extension of QFT and gravity. | 2025-05-05T11:20:00.546800 | 2025-05-05T11:23:42.601056 | 2025-05-05T11:23:32.532380 | 2025-03-13T04:00:00 | https://doi.org/10.5281/zenodo.15022520 | thesiscommons | 1 | pending | 1 | 1 | https://doi.org/10.31237/osf.io/sra4x_v1 | CC-By Attribution 4.0 International | Cohomology; Fractal entropy; Hyperfolding Rings; Quantum gravity; Recursive dynamics; p-adic geometry | ["Cohomology", "Fractal entropy", "Hyperfolding Rings", "Quantum gravity", "Recursive dynamics", "p-adic geometry"] | 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; Engineering | [{"id": "59bac90254be8103137da28b", "text": "Physical Sciences and Mathematics"}, {"id": "59bac90254be8103137da292", "text": "Engineering"}] | https://osf.io/download/68189ee8700ba2c92f7c5c3d | 0 | not_applicable | not_applicable | [] | 2025-05-06T00:11:29.334991 |