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

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.