On the Phenomenology of the Number Line
Abstract
We demonstrate an admissable regularization functional $L:\ell^\infty\to\mathbb R$ in possession of linearity, shift-invariance, sign-symmetry, and limit-consistency. Applied to the $\pm1$ rail $a_n=(-1)^n$, the proposed axioms force $L(a)=0$ and pin the cumulative worldline $s_n=\sum_{k
Fields of Study & Subjects
Mathematical and Theoretical Analysis
Approximation Theory and Sequence Spaces
p-Adic Analysis and Mathematical Physics
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 2 March 2026
- Language
- EN
- Document type
- Preprint