What question did this study set out to answer?

Identify SU(3) as an admissibility fixed point to analytically construct the complete Standard Model gauge group SU(3) x SU(2) x U(1).

August 16, 2026Open Access

SU(3) from Colour Triplet Co-admissibility: Towards the Complete Standard Model Gauge Group

View Full Paper

Ask AI

Bookmark

Authors

JBJérôme BeauUniversité Paris Nanterre

Discussion

Member takes

Implication

Theoretical study demonstrates the emergence of SU(3) symmetry via colour triplet co-admissibility, suggesting an exact construction of the full Standard Model gauge group.

Key Points

Identify SU(3) as an admissibility fixed point to analytically construct the complete Standard Model gauge group SU(3) x SU(2) x U(1).
Formulated algebraic conditions for colour triplets in modular arithmetic and defined fingerprint observables across breadth-first search (BFS) graph shells.
Analyzed the irreducibility of the Weil representation and the invertibility of Vandermonde triplet phase matrices to evaluate colour sector rank equality.
Executed numerical validation testing primes q in {61, 151, 211, 307} (congruent to 1 mod 3) alongside control primes q in {29, 101} (congruent to 2 mod 3).
Proved that colour triplet co-admissibility uniquely generates an SU(3) transformation group on the combined effective 3-space V_color.
Showed that colour triplets exist if and only if q = 1 (mod 3), with Born–Infeld fingerprint frequencies ensuring exact colour sector rank equality.
Confirmed hypothesis [H-color] across all test primes up to q = 307 with variance ratios R <= 3 relative to the control noise floor (ctrl_ref = 1.657 x 10^-3).

Cite This Study

Jérôme Beau (2026) studied this question.

synapsesocial.com/papers/6a817a72f2fb91fc834ae444 https://doi.org/10.5281/zenodo.21947512

View Full Paper

Ask AI

Bookmark

Implication

Theoretical study demonstrates the emergence of SU(3) symmetry via colour triplet co-admissibility, suggesting an exact construction of the full Standard Model gauge group.

SU(3) from Colour Triplet Co-admissibility: Towards the Complete Standard Model Gauge Group

Discussion

Member takes

Implication

Key Points

Cite This Study

SU(3) from Colour Triplet Co-admissibility: Towards the Complete Standard Model Gauge Group

Discussion

Member takes

Implication

Key Points

Cite This Study

Also Consider

Also Consider