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The paper aims to formulate a conditional structural-admissibility theorem for the one-generation Standard Model chiral gauge structure within QDL.

July 6, 2026Open Access

The Standard Model as a Minimal Closure-Stable Projection: A Conditional QDL Admissibility Theorem for One-Generation Chiral Gauge Structure

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The paper aims to formulate a conditional structural-admissibility theorem for the one-generation Standard Model chiral gauge structure within QDL.
Developed a closure stability test incorporating dimensional admissibility, chiral orientation, and anomaly-residue cancellation.
Used standard anomaly-cancellation conditions for various gauge groups and analyzed the hypercharge vector.
Tested the structural persistence of the Standard Model's chiral gauge theory requirements in QDL terminology.
Established that the one-generation Standard Model hypercharge pattern is minimally closure-stable.
Demonstrated that this hypercharge vector corresponds to standard particle assignments like Q, u^c, d^c, L, e^c, and H.
Provided bounds for expressing gauge-theory consistency as a structural persistence test in QDL framework.

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Implication

Preprint formulates a conditional structural-admissibility theorem for the Standard Model's chiral gauge sector, suggesting new insights into gauge consistency.

Cite This Study

James D. Bourassa (2026) studied this question.

synapsesocial.com/papers/6a4b45b2997070ff83b5b597 https://doi.org/10.5281/zenodo.21197068

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Implication

Preprint formulates a conditional structural-admissibility theorem for the Standard Model's chiral gauge sector, suggesting new insights into gauge consistency.

The Standard Model as a Minimal Closure-Stable Projection: A Conditional QDL Admissibility Theorem for One-Generation Chiral Gauge Structure

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Cite This Study

The Standard Model as a Minimal Closure-Stable Projection: A Conditional QDL Admissibility Theorem for One-Generation Chiral Gauge Structure

Key Points

Discussion

Implication

Cite This Study

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