(1) Jožef Stefan Institute, Jamova 39, 1000 Ljubljana, Slovenia
Abstract:
The idea that spacetime has to be replaced by Clifford space (C-space) is explored. Quantum field theory (QFT) and string
theory are generalized to C-space. It is shown how one can solve the cosmological constant problem and formulate string theory
without central terms in the Virasoro algebra by exploiting the peculiar pseudo-Euclidean signature of C-space and the Jackiw
definition of the vacuum state. As an introduction into the subject, a toy model of the harmonic oscillator in pseudo-Euclidean
space is studied.