Quantum number conservation: a tool in the design and analysis of high energy experiments
Abstract
The Clifford Unification algebra Cl7,7 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 Cl3,3 sub-algebra integrates the Cl1,3 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.
Versions
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BibTeX
@misc{newman2026quantum,
title = {{Quantum number conservation: a tool in the design and analysis of high energy experiments}},
author = {D. J. Newman},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.04227},
eprint = {2609.04227},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.04227},
}
RIS
TY - UNPB
TI - Quantum number conservation: a tool in the design and analysis of high energy experiments
AU - D. J. Newman
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2609.04227
UR - https://arxiv.org/abs/2609.04227
AB - 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.
ER -