No Substantive Results on Base-60 Regular Numbers as a Multiplicative Monoid — E8 Intelligence Research
FINDING: Search returned only elementary pedagogy on reciprocals/multiplicative inverses plus a terminology glossary — no substantive result on "regular numbers" as a multiplicative monoid in base-60. | MATH: Core content is the definition a·a⁻¹ = 1 (multiplicative inverse / Kehrwert); the "regular numbers" concept (base-60 5-smooth numbers, i.e. n = 2^a·3^b·5^c) and its closure under multiplication and reciprocal were NOT present in any retrieved source. | CONNECTION: None supported by evidence. The base-60 regular-number monoid is the historically correct link to Babylonian reciprocal tables and to 5-smooth lattice structure, but no retrieved video addresses it. | DEPTH: 1 Notes on what the evidence actually supports: 1. Key insight: None beyond the standard field axiom. Every retrieved item is K-12/algebra instruction on the reciprocal as the multiplicative inverse (product = 1). The Wikipedia hit is a glossary disambiguation, not a treatment of the monoid of regular numbers. 2. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-10-30
- DOI
- https://doi.org/10.5281/zenodo.23796482
- Primary Topic
- History and Theory of Mathematics
- Type
- preprint