ISSN:
1572-9575
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Physik
Notizen:
Abstract Riemannian manifolds are but one of three ways to extrapolate from four-dimensional Minkowskian manifolds to spaces of higher dimension, and not the most plausible. If we take seriously a certain construction of time space from spinors, and replace the underlying binary spinors byN-ary hyperspinors with new “internal” components besides the usual two “external” ones, this leads to a second line, the hyperspin manifolds $$\mathfrak{S}_N $$ and their tangent spaces $$d\mathfrak{S}_N $$ , different in structure and symmetry group from the Riemannian line, except that the binary spaces $$d\mathfrak{S}_2 $$ (Minkowski time space) and $$\mathfrak{S}_2 $$ (Minkowskian manifold) lie on both. $$d\mathfrak{S}_N $$ and $$\mathfrak{S}_N $$ have dimensionn=N 2. In hyperspin manifolds the energies of modes of motion multiply instead of adding their squares, and theN-ary chronometric form is not quadratic, butN-ic, with determinantal normal form. For the nine-dimensional ternary hyperspin manifold, we construct the trino, trine-Gordon, and trirac equations and their mass spectra in flat time space. It is possible that our four-dimensional time space sits in a hyperspin manifold rather than in a Kaluza-Klein Riemannian manifold. If so, then gauge quanta with spin-3 exist.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF00670769
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