I study the properties of a preon model for the substructure of the standard model quarks and leptons. The goal is to establish both local and global group representations for the particles of the model. Knot theory algebra SLq(2) is shown to be applicable to the model. Teleparallel gravity is discussed with an interesting result to hadronic physics. A tentative glimpse on quantum gravity is indicated.
Finkelstein, R. (2017) On the SLq(2) Extension of the Standard Model and the Measure of Charge. International Journal of Modern Physics A, 32, Article ID: 1730001.
Raitio, R. (2017) On the Conformal Unity between Quantum Particles and General Relativity. Open Access Library Journal, 4, e3342.
https://doi.org/10.4236/oalib.1103342
Greenberg, O. (2009) The Color Charge Degree of Freedom in Particle Physics. In: Greenberger, D., Hentschel, K. and Weinert, F., Eds., Compendium of Quantum Physics, Springer-Verlag, Berlin Heidelberg, 109-111.
https://doi.org/10.1007/978-3-540-70626-7_32
Thomson, W. (1868) VI.—On Vortex Motion. Earth and Environmental Science Transactions of the Royal Society of Edinburgh, 25, 217-260.
https://doi.org/10.1017/S0080456800028179
Finkelstein, R. (2015) The SLq(2) Extension of the Standard Model. International Journal of Modern Physics A, 30, Article ID: 1530037.
https://doi.org/10.1142/S0217751X15300379
Ulhoa, S. and Amorim, R. (2014) On Teleparallel Quantum Gravity in Schwarzschild Space-Time. Advances in High Energy Physics, 2014, Article ID: 812691.
https://doi.org/10.1155/2014/812691
Einstein, A. (1930) Auf die Riemann-Metrik und den Fern-Parallelismus gegründete einheitliche Feldtheorie. Mathematische Annalen, 102, 685-697.
https://doi.org/10.1007/BF01782370
