Ternary logic and mass quantum numbers

Journal Article · Tue Jun 15 00:00:00 EDT 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3460200· OSTI ID:21366976

Sheppeard, M D ^[1]

---

1. Ka Tiritiri O Te Moana (New Zealand)

Koide's prediction of the tau mass may be formulated as a condition on the three eigenvalues of a quantum Fourier series, using simple parameters, and similar triplets have been found for neutrino and hadron masses [2]. Assuming these parameters arise from quantum gravity, one would like to understand them from the more abstract context of category theory. In particular, whereas the logic of lepton spin is a linear analogue of the ordinary Boolean logic of the category of sets, mass triplets suggest an analogous ternary logic, requiring higher dimensional categorical structures.

• OSTI ID: 21366976
• Journal Information: AIP Conference Proceedings, Vol. 1246, Issue 1; Conference: 10. international symposium on frontiers of fundamental and computational physics, Perth, WA (Australia), 24-26 Nov 2009; Other Information: DOI: 10.1063/1.3460200; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EIGENVALUES
HADRONS
MASS
NEUTRINOS
QUANTUM GRAVITY
QUANTUM MECHANICS
QUANTUM NUMBERS
SPIN
TRIPLETS
ANGULAR MOMENTUM
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
LEPTONS
MASSLESS PARTICLES
MECHANICS
MULTIPLETS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY