期刊名称：Proceedings of the National Academy of Sciences
印刷版ISSN：0027-8424
电子版ISSN：1091-6490
出版年度：1987
卷号：84
期号：2
页码：319-323
DOI：10.1073/pnas.84.2.319
语种：English
出版社：The National Academy of Sciences of the United States of America
摘要：Space inversion and other discrete symmetries are treated within the frame of a theory of fundamental forces based only on general considerations of causality, symmetry, and stability, without ad hoc differential equations. The basic space-time M is the Einstein universe R1 x S3 as a causal (or conformal) rather than a pseudo-Riemannian manifold. Its connected symmetry group is then a 15-parameter group G locally equivalent to SO(2, 4), while the isometry group K of the Einstein universe is a 7-parameter subgroup. Correlation with conventional relativistic theory is based on a canonical imbedding of Minkowski space M0 into M, together with the unique extendability of all transformations of the scaling-extended Poincare group P from M0 to global transformations on M. The fundamental fermion field F and boson field B are here restricted to be real and are fully invariant under Ge, where the superscript e denotes the inclusion of space and time inversions. The role of C on F is taken over by a real matrix having the eigenvalues {+/-}i, that commutes with G but anticommutes with space inversion. The spin space for B consists of the real linear transformations on that for F. There is a corresponding natural total Lagrangian that is both Ge and O(2)-gauge invariant, the latter leading to lepton and baryon number conservation, and which is nonparametric except for scale. The Weyl and Maxwell equations are deduced, and compelling identifications made for neutrinos and the photon. The e and {micro} neutrino pairs occur in strikingly inequivalent positions in F, appearing symmetric only in the conventional relativistic limit R [->] {infty
