What question did this study set out to answer?

The aim is to propose a framework for grand unification using algebraic, spectral, and dynamical approaches based on a single internal calibration.

July 4, 2026Open Access

Triptych-GUT V16: Algebraic, spectral, dynamical and effectively relativistic framework for grand unification with a single internal dimensional calibration

Puntos clave

The aim is to propose a framework for grand unification using algebraic, spectral, and dynamical approaches based on a single internal calibration.
Utilized the Madelung decomposition and established a spectral-normalisation chain.
Replaced the previous direct identification of couplings with a new model leading to specific values.
Documented structural no-go results and outlined the unresolved issue of deriving spectral moments.
Achieved a new coupling value yR = 1/6 through spectral normalization.
Identified structural no-go results that pose challenges in the unification theory.
Highlighted the open problem of deriving the normalised spectral moment from existing equations.

Resumen

Description EN Triptych-GUT V16 is a research preprint with a Technical Proof Companion and a SymPy reproducibility archive. It proposes an algebraic, spectral and dynamical grand-unification framework based on the Madelung decomposition and a single internal calibration, v = 246.220 GeV. V16 consolidates the Majorana Yukawa chain by replacing the former direct yR and Parker-Toms identification with a spectral-normalisation chain leading to yR = 1/6. It also records the associated structural no-go results and the residual open problem: deriving the normalised spectral moment from the TC-PS and asymptotic-safety equations. Description FR Triptyque-GUT V16 est une prépublication de recherche accompagnée d’un Technical Proof Companion et d’une archive de reproductibilité SymPy. Elle propose un cadre de grande unification algébrique, spectral et dynamique fondé sur la décomposition de Madelung et sur une seule calibration interne, v = 246,220 GeV. V16 consolide la chaîne du couplage de Yukawa Majorana en remplaçant l’ancienne identification directe entre yR et le coefficient de Parker-Toms par une chaîne de normalisation spectrale conduisant à yR = 1/6. Elle documente aussi les no-go structurels associés et le problème ouvert résiduel : dériver le moment spectral normalisé depuis les équations TC-PS et asymptotic safety.

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