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. © 2005 Springer Science+Business Media, Inc.
CITATION STYLE
Pavšič, M. (2005). Clifford space as a generalization of spacetime: Prospects for QFT of point particles and strings. Foundations of Physics, 35(9), 1617–1642. https://doi.org/10.1007/s10701-005-6485-x
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