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arXiv · 1111.0880

Exotic smooth R^4 and quantum matter

Jerzy Król
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Abstract

We follow the point of view that superstring theory, as the theory of quantum gravity in the number of spacetime dimensions bigger than 4, serves as mathematics for both, 4 dimensional QG and exotic smoothness on open 4-manifolds. Extra-dimensions, supersymmetry or some other string techniques, belong to the mathematical toolkit suitable for the above purposes. Physics in dimension 4 is reached via exotic 4-geometries on $\mathbb{R}^4$. In the paper we discuss the techniques of exact superstring backgrounds, CFT and $SU(2)_k$ WZW models, as suitable for the description of effects assigned to the magnetic field and its gravitational backreactions on exotic Euklidean $\mathbb{R}^4$ which is the underlying smoothness for the 4-dimensional spacetime.

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Jerzy Król. 2011-11-03. Exotic smooth R^4 and quantum matter. https://doi.org/10.1088/1742-6596/343/1/012060

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