The 17-Dimensional Substrate Theory: Fine-Structure Constant, Electron Shell Capacities, and MOND Scale
We present a 17-dimensional Randers-Finsler configuration space as a rigid geometric substrate. From the local 30-channel comparison algebra of the 5-dimensional effective core we derive the fine structure constant α−¹_cl = 208π²/15 ≈ 136.8585; a finite observer capacity dressing series recovers the CODATA value 137.036 within 9.3×10−8.The17D embedding yields a transverse shape stiffness K_shape = 13/15 and a chiral active fraction 3/17, which projects to the macroscopic MOND acceleration scale a_0 = 3/17 cH_0. Topological winding sectors around nuclear defects provide a structural motivation for the electron shell capacities (2, 8, 8, 18, 18, 32); the precise representation-theoretic derivation remains an open problem addressed in a forthcoming supplement. The framework contains no free parameters and is falsifiable.
Authors
- David R. Smith (ORCID: https://orcid.org/0009-0005-6195-5737)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-05-19
- DOI
- https://doi.org/10.5281/zenodo.20281180
- Primary Topic
- Algebraic and Geometric Analysis
- Type
- preprint