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May 18, 2026Open Access

Colour Triplet Co-admissibility on Heis₃ (Z/qZ): Numerical Test of Hypothesis H-color

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Authors

JBJérôme Beau

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Overview

Randomized trial tests colour triplet co-admissibility in Heisenberg group, suggesting strong alignment with predictions.

Key Points

  • This research aims to provide numerical evidence for Hypothesis [H-color] regarding colour triplet co-admissibility in Heisenberg groups.
  • Conducted numerical tests on Heisenberg group Heis_3(Z/qZ) for prime values of q.
  • Analyzed the inter-triplet variance ratio against a noise-floor reference from controls.
  • Evaluated triplet capacity exponent and covariance matrices for consistency with theoretical predictions.
  • Found inter-triplet variance ratios R_var at q values (61, 151, 211) below the established noise floor (ctrl_ref = 3.81 x 10^-3).
  • Confirmed triplet capacity exponent delta_tri approximately equals 3 delta_c across tested primes.
  • All triplet covariance matrices exhibited numerical rank 1.

Cite This Study

Jérôme Beau (2026) studied this question.

synapsesocial.com/papers/6a0aaccf5ba8ef6d83b702f1https://doi.org/10.5281/zenodo.20247610
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