A Critical Review and Research Framework for a First-Principles-Inspired Approximation to the Inverse Fine-Structure Constant
Fuente:
Zenodo
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Recurso digital |
| Language: | English |
| Published: |
Zenodo
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866902329021693952 |
|---|---|
| author | Michael Biele Mannix, Nicole |
| author_facet | Michael Biele Mannix, Nicole |
| contents | <p><strong>This report critically examines a recently proposed heuristic derivation of the inverse fine-structure constant, α⁻¹ ≈ (e⁵ / 3) · ln(π² · φ), which yields a value remarkably close to the experimental CODATA 2022 value. The analysis deconstructs the symbolic relationships among fundamental mathematical constants (e, π, φ) and the conceptual links suggested in the initial report, namely renormalization group (RG) integration, emergent geometric structure, and intrinsic vacuum self-similarity. By reviewing existing literature on these concepts, the theoretical gaps and challenges in transforming this intriguing numerical coincidence into a rigorous, first-principles derivation are identified. A comprehensive research framework is proposed, outlining specific avenues for theoretical development, including the construction of a quantum field theory model that naturally incorporates these mathematical constants, the exploration of underlying symmetry principles, and potential experimental verification. This review serves as a foundational document for future peer-reviewable research aimed at uncovering the deeper physical meaning behind this approximation.</strong></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15705445 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | A Critical Review and Research Framework for a First-Principles-Inspired Approximation to the Inverse Fine-Structure Constant Michael Biele Mannix, Nicole Theoretical physics Mathematical physics Symbolic Interactionism <p><strong>This report critically examines a recently proposed heuristic derivation of the inverse fine-structure constant, α⁻¹ ≈ (e⁵ / 3) · ln(π² · φ), which yields a value remarkably close to the experimental CODATA 2022 value. The analysis deconstructs the symbolic relationships among fundamental mathematical constants (e, π, φ) and the conceptual links suggested in the initial report, namely renormalization group (RG) integration, emergent geometric structure, and intrinsic vacuum self-similarity. By reviewing existing literature on these concepts, the theoretical gaps and challenges in transforming this intriguing numerical coincidence into a rigorous, first-principles derivation are identified. A comprehensive research framework is proposed, outlining specific avenues for theoretical development, including the construction of a quantum field theory model that naturally incorporates these mathematical constants, the exploration of underlying symmetry principles, and potential experimental verification. This review serves as a foundational document for future peer-reviewable research aimed at uncovering the deeper physical meaning behind this approximation.</strong></p> |
| title | A Critical Review and Research Framework for a First-Principles-Inspired Approximation to the Inverse Fine-Structure Constant |
| topic | Theoretical physics Mathematical physics Symbolic Interactionism |
| url | https://doi.org/10.5281/zenodo.15705445 |