Inherent Holography In Fuzzy Spaces and An N-tropic Approach To The Cosmological Constant Problem

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.

arXiv comment11 pages, no figures; v3: Presentation improved by adding a discussion on the Schwarzchild blackhole entropy, the version to appear in PLB

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Cited by in corpus (13)

• Numerical simulations of a non-commutative theory: the scalar model on the fuzzy sphere
• Holographic Cosmological Constant and Dark Energy
• Tensor model and dynamical generation of commutative nonassociative fuzzy spaces
• Quantum deformation of quantum cosmology: A framework to discuss the cosmological constant problem
• Quantum Field Theory in a Non-Commutative Space: Theoretical Predictions and Numerical Results on the Fuzzy Sphere
• An Introduction to Noncommutative Physics
• A quantum cosmology approach to cosmic coincidence and inflation
• The baryon vertex with magnetic flux
• Aspects of M-Theory Brane Interactions and String Theory Symmetries
• Connecting horizon pixels and interior voxels of a black hole
• A fuzzy bipolar celestial sphere
• Fuzzy de Sitter Space from kappa-Minkowski Space in Matrix Basis
• A note on the fuzzy sphere area spectrum, black hole luminosity, and the quantum nature of spacetime