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

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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
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No Substantive Results on Base-60 Regular Numbers as a Multiplicative Monoid — E8 Intelligence Research

Andrew Stewart Caldin
6 links
Zenodo (CERN European Organization for Nuclear Research)
History and Theory of Mathematics
preprint

No Substantive Results on Base-60 Regular Numbers as a Multiplicative Monoid — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

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

Zenodo (CERN European Organization for Nuclear Research)
History and Theory of Mathematics
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