Inherent holography in fuzzy spaces and an N-tropic approach to the cosmological constant problem

2006/05/31 by M. M. Sheikh-Jabbari · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1016/j.physletb.2006.08.083

published as Phys.Lett.B642:119-123,2006 · 11 pages, no figures; v3: Presentation improved by adding a discussion on the Schwarzchild blackhole entropy, the version to appear in PLB

arxiv created 2006/08/09 · openalex publication_date 2006/09/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this letter we show that the noncommutative spaces, and in particular fuzzy spheres, are natural candidates which explicitly exhibit the holography, by noting that the smallest physically accessible volume is much larger that the expected Planckian size. Moreover, we show that fuzzy spheres provide us with a new approach, ''an N-tropic'' approach, to the cosmological constant problem, though in a Euclidean space-time.

Citations

• The holographic principle
• The Anthropic Landscape of String Theory
• The Holographic Bound in Anti-de Sitter Space
• Microscopic Origin of the Bekenstein-Hawking Entropy
• ON TIME-DEPENDENT COLLAPSING BRANES AND FUZZY ODD-DIMENSIONAL SPHERES
• The World as a Hologram

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