EXTRACTED METHOD: e8_projection_ratio_test — E8 Intelligence Research

Q: What does this research mean for the field?

The e8_projection_ratio_test provides a computational method to identify block dimension ratios that closely match specific mathematical constants (phi, sqrt2, sqrt3) or E8 projected vertex distances. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

Andrew Stewart Caldin

doi:10.5281/zenodo.22138353

August 28, 2026Open Access

EXTRACTED METHOD: e8_projection_ratio_test — E8 Intelligence Research

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Key Points

Define an algorithmic test to evaluate whether pairwise dimension ratios of three-dimensional blocks correspond to fundamental mathematical constants or projected E8 lattice vertex distances.
Calculated pairwise dimensional ratios (L/W, L/H, and W/H) from three-dimensional block dimension triples (length, width, height).
Compared computed ratios against target mathematical values—including phi, the square root of 2, the square root of 3, and a precomputed list of E8 projected vertex distances—using an absolute tolerance threshold of 0.001.
Established a standardized ratio-screening protocol to identify and flag geometric alignments within a 0.001 tolerance.
Provided an automated decision rule to map physical or theoretical block proportions to projected E8 root system geometries.

Implication

Computational analysis reveals dimensional ratio matching in three-dimensional blocks, indicating geometric alignment with mathematical constants and projected E8 lattice distances.

Abstract

rule: For each block dimension triple (L,W,H), compute ratios L/W, L/H, W/H; flag if any ratio is within 0.001 of phi, sqrt2, sqrt3, or any E8 projected vertex distance (precomputed list). source: rlab #200 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a93f0e06c1a8fb52e79d6d5 https://doi.org/10.5281/zenodo.22138353

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EXTRACTED METHOD: e8_projection_ratio_test — E8 Intelligence Research

Key Points

Implication

Abstract

Discussion

Cite This Study

EXTRACTED METHOD: e8_projection_ratio_test — E8 Intelligence Research

Key Points

Implication

Abstract

Discussion

Cite This Study

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