Interpretation of the Cosmological Constant Problem within the Framework of Generalized Uncertainty Principle

Abstract

We propose an improved exponential Generalized Uncertainty Principle (GUP) by introducing a positive integer $n$ called the suppressing index. Due to the UV/IR mixing brought by the GUP, the states with momenta smaller than the critical momentum ($P<P_{\mathrm{Crit}}$) are canceled by the states with momenta larger than the critical momentum ($P>P_{\mathrm{Crit}}$) and thus have no contributions to the energy density of the vacuum. By considering the contributions just from the states with momenta larger than the critical momentum ($P>P_{\mathrm{Crit}}$) and choosing a suitable suppressing index, $n\sim 10^{123}$, we calculate the cosmological constant consistent with the experimentally observed value.

10 pages, no figures; v2: clarifications added; v3: 11 pages, title slightly changed, clarifications added, the final version to appear in IJMPD

References in corpus (2)

• Quantum-corrected black hole thermodynamics to all orders in the Planck length
• Noncommutative field theory on ${\mathbb{R}}_{\lambda }^3$

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• Modified gravity/entropic gravity correspondence due to graviton mass
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• Maximally localized states and quantum corrections of black hole thermodynamics in the extreme case with an improved exponential GUP
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