2013/10/14 by Guang-jiong Ni, Suqing Chen, Jianjun Xu
Physics and Astronomy · #physics.gen-ph
paper · pdf · doi:10.4236/jmp.2013.45094
published as Journal of Modern Physics, {\bf 4}, 651-675, 2013 (http://www.scirp.org/journal/jmp). Here printing errors have been corrected · 47 pages, 1 fig. arXiv admin note: substantial text overlap with arXiv:1202.2747
arxiv created 2013/10/14 · arxiv updated 2013/10/15
EPR experiment on K0-K0 system in 1998\cite1 strongly hints that one should use operators Ec=-iℏ(∂)/(∂ t) and \bf pc=iℏ∇ for the wavefunction (WF) of antiparticle. Further analysis on Klein-Gordon (KG) equation reveals that there is a discrete symmetry hiding in relativistic quantum mechanics (RQM) that \cal P\cal T=\cal C. Here \cal P\cal T means the (newly defined) combined space-time inversion (with \bf x→ -\bf x, t→-t), while \cal C the transformation of WF ψ between particle and its antiparticle whose definition is just residing in the above symmetry. After combining with Feshbach-Villars (FV) dissociation of KG equation (ψ=ϕ+χ)\cite2, this discrete symmetry can be rigorously reformulated by the invariance of coupling equation of ϕ and χ under either the combined space-time inversion \cal P\cal T or the mass inversion (m→ -m), which makes the KG equation a self-consistent theory. Dirac equation is also discussed accordingly. Various applications of this discrete symmetry are discussed, including the prediction of antigravity between matter and antimatter as well as the reason why we believe neutrinos are likely the tachyons.