Answers to Some Valuable Comments |
True. Notice that this also refers to rewriting the conventional field
theory in terms of polyvectors, that is, in reformulating it in Clifford
space (C-space).
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From the papers and my book (p. 38) it is clear that even in my formulation of the second quantization of the Stueckelberg particle the energy (i.e., ) is positive. Pseudo-Euclidean oscillator is a different thing. In pages 96-99
of my book and in
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That an ultrahyperbolic metric signature will make string theory well-defined in any dimension was indicated in a paper by Jackiw. He is quite right, and he wrote me a letter in which he expressed his agreement with my approach. One only needs to look a little bit outside of what we have learnt about negative energies and stability and reconsider the subject from the start within the new set of postulates. |
This remark refers to my book The
Landscape of Theoretical Physics: A Global View; From Point Particles to
the Brane World. Since there about 250 references the book certainly
has not been written in a vacuum. However the book is indeed not string
oriented. There are references to the papers on branes, and regarding strings,
there are some references to basic works and textbooks. The
underlying assumption in most modern approaches to string theory is the
requirement that extra dimensions have to be compactified. Namely,
strings and the accompanying extended objects (branes) live in spacetime
which has necessarily more than 4 dimensions. Then there arises a problem
of how to compactify all those extra dimensions. In
my papers (which appeared much before
the explosion of the "brane world" scenarios)
and in my book I preferred to consider an alternative view, namely, that
a 3-brane (sweeping a 4-dimensional world manifold) already represents
our observable spacetime; no compactification of dimensions of the embedding
(bulk) space is needed.
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