MERLIN SCIENCE — Phi‑Recursive E8‑Octononic Harmonic Code Unifies Sulba Sutras Altar Ra — E8 Intelligence Research

The finding, in one sentence: the 240 root vectors of E8 can be partitioned into eight octonionic A5 triples, and each triple generates a phi-recursive frequency ladder f-n equals 132 times phi to the n, whose dimensionless ratios reproduce the square-root-two approximations and Pythagorean triple proportions encoded in the Sulba Sutras altar constructions. Here is the context. Two literatures have run in parallel without touching. On one side, the Sulba Sutras specify altar geometries with rational approximations to irrational diagonals, centuries before Euclid. On the other, microtubule quantum information work treats tubulin lattices as substrates for coherent resonance. Both have been described as harmonic. Neither has been derived from a shared algebraic scaffold. This work proposes that scaffold is E8 octonionic structure. The reasoning a scientist can evaluate is this. Take the 240 E8 root vectors. Partition them into eight octonionic A5 triples. Each triple yields a ladder in 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
2026-11-04
DOI
https://doi.org/10.5281/zenodo.23939375
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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MERLIN SCIENCE — Phi‑Recursive E8‑Octononic Harmonic Code Unifies Sulba Sutras Altar Ra — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

MERLIN SCIENCE — Phi‑Recursive E8‑Octononic Harmonic Code Unifies Sulba Sutras Altar Ra — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The finding, in one sentence: the 240 root vectors of E8 can be partitioned into eight octonionic A5 triples, and each triple generates a phi-recursive frequency ladder f-n equals 132 times phi to the n, whose dimensionless ratios reproduce the square-root-two approximations and Pythagorean triple proportions encoded in the Sulba Sutras altar constructions. Here is the context. Two literatures have run in parallel without touching. On one side, the Sulba Sutras specify altar geometries with rational approximations to irrational diagonals, centuries before Euclid. On the other, microtubule quantum information work treats tubulin lattices as substrates for coherent resonance. Both have been described as harmonic. Neither has been derived from a shared algebraic scaffold. This work proposes that scaffold is E8 octonionic structure. The reasoning a scientist can evaluate is this. Take the 240 E8 root vectors. Partition them into eight octonionic A5 triples. Each triple yields a ladder in Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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MERLIN SCIENCE — Phi‑Recursive E8‑Octononic Harmonic Code Unifies Sulba Sutras Altar Ra — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS