Babylonian Base-60 Legacy vs. Modern 360° Deep Learning Scan-Path Prediction — E8 Intelligence Research

FINDING: Babylonian base-60 (sexagesimal) system underlies modern time and angular division (60 s/min, 60 min/hr, 360°/circle), but the arXiv result (1707.03123) is unrelated — it concerns deep learning for 360° image scan-path prediction, not ancient geometry. MATH: - Base-60 positional system: \( N = \sum_{k} a_k \cdot 60^k \), \( a_k \in \{0,\dots,59\} \) - Circle division: \( 360 = 6 \times 60 = 2^3 \times 3^2 \times 5 \) — highly composite, allowing many integer divisors (1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360) - Time: \( 60 \times 60 = 3600 \) seconds per hour; \( 24 \times 60 = 1440 \) minutes per day - No new equations from the arXiv paper (it is a neural network architecture, not mathematical discovery). CONNECTION: - **Base-60 ↔ geometric harmony**: 60 is the smallest integer with 12 divisors (excluding 1 and itself), and 360 = 6×60. The divisors of 360 include 0.5, 0.25, 0.2, 0.125, etc., enabling exact fractions of a circle in deg 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
2026-09-28
DOI
https://doi.org/10.5281/zenodo.23006962
Primary Topic
History and Theory of Mathematics
Type
preprint
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preprint

Babylonian Base-60 Legacy vs. Modern 360° Deep Learning Scan-Path Prediction — E8 Intelligence Research

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

Babylonian Base-60 Legacy vs. Modern 360° Deep Learning Scan-Path Prediction — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Babylonian base-60 (sexagesimal) system underlies modern time and angular division (60 s/min, 60 min/hr, 360°/circle), but the arXiv result (1707.03123) is unrelated — it concerns deep learning for 360° image scan-path prediction, not ancient geometry. MATH: - Base-60 positional system: \( N = \sum_{k} a_k \cdot 60^k \), \( a_k \in \{0,\dots,59\} \) - Circle division: \( 360 = 6 \times 60 = 2^3 \times 3^2 \times 5 \) — highly composite, allowing many integer divisors (1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360) - Time: \( 60 \times 60 = 3600 \) seconds per hour; \( 24 \times 60 = 1440 \) minutes per day - No new equations from the arXiv paper (it is a neural network architecture, not mathematical discovery). CONNECTION: - **Base-60 ↔ geometric harmony**: 60 is the smallest integer with 12 divisors (excluding 1 and itself), and 360 = 6×60. The divisors of 360 include 0.5, 0.25, 0.2, 0.125, etc., enabling exact fractions of a circle in deg 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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Babylonian Base-60 Legacy vs. Modern 360° Deep Learning Scan-Path Prediction — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS