Journal article
HEURISTIC DEVELOPMENT OF A DIRAC–GOLDHABER MODEL FOR LEPTON AND QUARK STRUCTURE
Modern physics letters A, v 22(4), pp 283-288
10 Feb 2007
Abstract
All three charged lepton pole masses are given to O(10
-5
) accuracy by [Formula: see text], where θ
k
= 2πk/3 + 2/9 with the generation number k = 1, 2, 3. In the context of a Dirac model, it is shown that this empirical formula for the charged leptons admits a satisfactory S
3
-parametrized extension for the scale-independent pole masses of quarks and Majorana neutrinos; in particular, the top quark mass emerges as 177.698 GeV. A physical-geometrical interpretation of the mass formula supports Dirac's and Goldhaber's proposals: leptons and quarks of the same generation are identical in size and shape. Specifically, their self-interaction mass appears to be concentrated on spherical surfaces of radii [Formula: see text], in which the Kähler radial complex coordinate z
k
is a root of the Calabi–Yau condition [Formula: see text] for the envelopment of the particle surfaces and ℓ is a fundamental length constant.
Metrics
Details
- Title
- HEURISTIC DEVELOPMENT OF A DIRAC–GOLDHABER MODEL FOR LEPTON AND QUARK STRUCTURE
- Creators
- GERALD Rosen - Drexel University
- Publication Details
- Modern physics letters A, v 22(4), pp 283-288
- Publisher
- World Scientific Publishing
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Physics
- Web of Science ID
- WOS:000251352400004
- Scopus ID
- 2-s2.0-33846923577
- Other Identifier
- 991019168050104721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Astronomy & Astrophysics
- Physics, Mathematical
- Physics, Nuclear
- Physics, Particles & Fields