Brief Note on a Scalar Quantum Field with Finite Lifetime in a Lorentz Invariant Non-Rectangular Euclidean Space
Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=49260#.VJD068nQrzE Author(s) Carmen Tornow Affiliation(s) Institute of Planetary Research, DLR, Berlin, Germany . ABSTRACT A not necessary rectangular Euclidean space (NoNRES) is constructed, in which one obtains a generally Lorentz invariant scalar product for the low energy sector (LES). This sector is defined for energies below the Planckian limit. If the energy is zero, the NoNRES becomes rectangular and due to the Lorentz invariance, it is applicable for the complete LES of the theory. In contrast to the usual Minkowski space the metric of the NoNRES depends on the kinetic energy of the observed quantum particles. It is assumed ...