What question did this study set out to answer?

The aim is to construct the Standard Model gauge group using exceptional Jordan algebra and its properties.

July 26, 2026Open Access

Standard Model Gauge Group from Exceptional Jordan Algebra and F4 — E8 Intelligence Research

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Finding constructs Standard Model gauge group from exceptional Jordan algebra and its automorphism group, indicating new theoretical insights.

The aim is to construct the Standard Model gauge group using exceptional Jordan algebra and its properties.
Utilized exceptional Jordan algebra \( \mathfrak{h}_3(\mathbb{O}) \) and the automorphism group \( F_4 \).
Developed the gauge group through subalgebra chains, particularly \( \mathfrak{h}_2(\mathbb{C}) \) within \( \mathfrak{h}_3(\mathbb{O}) \).
Identified the gauge group as the stabilizer of this subalgebra chain within the automorphism group.
Constructed gauge group as \( SU(3) \times SU(2) \times U(1) / \mathbb{Z}_6 \).
Demonstrated the dimensional relationship with exceptional Lie group: \( F_4 \) (52), \( \mathfrak{h}_3(\mathbb{O}) \) (27).
Highlighted the significance of subalgebra chains in the structural formation of the gauge group.

Andrew Stewart Caldin (2026) studied this question.

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Finding constructs Standard Model gauge group from exceptional Jordan algebra and its automorphism group, indicating new theoretical insights.