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

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-19
DOI
https://doi.org/10.5281/zenodo.20281179
Primary Topic
Algebraic and Geometric Analysis
Type
preprint
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preprint

The 17-Dimensional Substrate Theory: Fine-Structure Constant, Electron Shell Capacities, and MOND Scale

David R. Smith
Zenodo (CERN European Organization for Nuclear Research)
Algebraic and Geometric Analysis
preprint

The 17-Dimensional Substrate Theory: Fine-Structure Constant, Electron Shell Capacities, and MOND Scale

David R. Smith
preprint en

Abstract

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.

Zenodo (CERN European Organization for Nuclear Research)
Algebraic and Geometric Analysis
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