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The Hausdorff Dimension of the Penrose Universe

DOI: 10.1155/2011/874302

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Abstract:

Penrose fractal tiling is one of the simplest generic examples for a noncommutative space. In the present work, we determine the Hausdorff dimension corresponding to a four-dimensional analogue of the so-calledPenrose Universe and show how it could be used in resolving various fundamental problems in high energy physics and cosmology.

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