2015/05/11 by P. Żenczykowski, Żenczykowski, Piotr · 2 citations
Medicine · Physics and Astronomy · Earth and Planetary Sciences · #Biofield Effects and Biophysics #Particle physics theoretical and experimental studies #Cold Fusion and Nuclear Reactions
paper · pdf · doi:10.48550/arxiv.1505.03482
We review a recently proposed Clifford-algebra approach to elementary\nparticles. We start with: (1) a philosophical background that motivates a\nmaximally symmetric treatment of position and momentum variables, and: (2) an\nanalysis of the minimal conceptual assumptions needed in quark mass extraction\nprocedures. With these points in mind, a variation on Born's reciprocity\nargument provides us with an unorthodox view on the problem of mass. The idea\nof space quantization suggests then the linearization of the nonrelativistic\nquadratic form bf p2 + bf x2 with position and momentum satisfying\nstandard commutation relations. This leads to the 64-dimensional Clifford\nalgebra Cl6,0 of nonrelativistic phase space within which one identifies\nthe internal quantum numbers of a single Standard Model generation of\nelementary particles (i.e. weak isospin, hypercharge, and color). The relevant\nquantum numbers are naturally linked to the symmetries of macroscopic phase\nspace. It is shown that the obtained phase-space-based description of\nelementary particles gives a subquark-less explanation of the celebrated\nHarari-Shupe rishon model. Finally, the concept of additivity is used to form\nnovel suggestions as to how hadrons are constructed out of quarks and how\nmacroscopically motivated invariances may be restored at the hadron level.\n