The Hausdorff Dimension of the Penrose Universe | Zendy

L. Marek-Crnjac | Zendy

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The Hausdorff Dimension of the Penrose Universe

Author(s) -

L. Marek-Crnjac

Publication year - 2011

Publication title -

physics research international

Language(s) - English

Resource type - Journals

eISSN - 2090-2239

pISSN - 2090-2220

DOI - 10.1155/2011/874302

Subject(s) - noncommutative geometry , hausdorff dimension , dimension (graph theory) , universe , theoretical physics , hausdorff space , cosmology , fractal , minkowski–bouligand dimension , packing dimension , physics , fractal dimension , space (punctuation) , pure mathematics , mathematics , mathematical physics , computer science , mathematical analysis , quantum mechanics , operating system

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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