Quantum number conservation: a tool in the design and analysis of high energy experiments

The Clifford Unification algebra Cl 7,7 is shown to provide a unified description of all the elementary fermions and hadrons in terms of seven binary quantum numbers. Four of these are defined in existing theories, namely spin-direction, fermion/anti-fermion pairing and the two commuting generators...

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Bibliographic Details
Published in:Journal of physics. G, Nuclear and particle physics Nuclear and particle physics, 2024-09, Vol.51 (9), p.95002
Main Author: Newman, D J
Format: Article
Language:English
Subjects:
Clifford algebra
commuting elements
decays and interactions
fermion generations
high energy experiments
parity
quantum number conservation
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Summary:The Clifford Unification algebra Cl 7,7 is shown to provide a unified description of all the elementary fermions and hadrons in terms of seven binary quantum numbers. Four of these are defined in existing theories, namely spin-direction, fermion/anti-fermion pairing and the two commuting generators in the SU(3) description of quark colour. A Cl 3,3 sub-algebra integrates the Cl 1,3 space-time and Dirac algebras providing a new definition of time direction and identifying parity as a new quantum number. A further two quantum numbers are related to the commuting generators of an SU(3) description of fermion generations. All seven are conserved in the decays and interactions of charged particles, suggesting that quantum number conservation provides a useful tool in the design and interpretation of high energy experiments. This is especially relevant when neutral particles and parity are involved.
ISSN:0954-3899
1361-6471
DOI:10.1088/1361-6471/ad60e4