Hausdorff-Colombeau measure and axiomatic quantum field theory in spacetime with negative B.Mandelbrot dimensions

Mathematics – General Mathematics

Scientific paper

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206 pages,3 figures

Scientific paper

We introduce Hausdorff-Colombeau measure in respect with negative
B.Mandelbrot dimensions. Axiomatic quantum field theory in spacetime with
negative B.Mandelbrot dimensions is proposed.Spacetime is modelled as a
multifractal subset of R^4 with positive and negative B.Mandelbrot dimensions.

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