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

DOI10.1016/J.PHYSLETB.2006.08.083zbMATH Open1248.83094arXivhep-th/0605110OpenAlexW2027757193MaRDI QIDQ712859

D. Kharzeev

Publication date: 18 October 2012

Published in: Physics Letters B (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/hep-th/0605110

zbMATH Keywords

holographycosmological constant problemfuzzy spheres

Mathematics Subject Classification ID

Noncommutative geometry in quantum theory (81R60) Methods of noncommutative geometry in general relativity (83C65)

Cites Work

• Large \(N\) field theories, string theory and gravity
• The holographic principle
• The world as a hologram
• Quantum field theory on noncommutative spaces

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