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The idea that spacetime has to be replaced by Clifford space (C-space) isexplored. Quantum field theory (QFT) and string theory are generalized toC-space. It is shown how one can solve the cosmological constant problem andformulate string theory without central terms in the Virasoro algebra byexploiting the peculiar pseudo-Euclidean signature of C-space and the Jackiwdefinition of the vacuum state. As an introduction into the subject, a toymodel of the harmonic oscillator in pseudo-Euclidean space is studied.Comment: 27 page

Clifford Space as a Generalization of Spacetime: Prospects for QFT of Point Particles and Strings