Comments on the CKN Bound

Abstract

Cohen, Kaplan, and Nelson (CKN) conjectured that the UV and IR cutoffs of effective quantum field theories coupled to gravity are not independent, but are connected by the physics of black holes. We interpret the CKN bound as a scale-dependent depletion of the QFT density of states and discuss various aspects of the bound on small and large scales. For laboratory experiments, we argue that the bound provides small corrections to ordinary quantum field theory, which we estimate to be of order $m_e/M_p$ for $g-2$ of the electron. On large scales, we suggest a modification of the CKN bound due to the presence of cosmological horizons and discuss the connection with entropy bounds.

arXiv comment7 pages

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• Gravity of Two Photon Decay and its Quantum Coherence
• Implication of the swampland distance conjecture on the Cohen-Kaplan-Nelson bound in de Sitter space
• Von Neumann algebra description of inflationary cosmology
• Densities of States and the CKN Bound
• Quantum theory of three-dimensional de Sitter space
• Angular correlations on causally-coherent inflationary horizons
• A thermodynamic origin for the Cohen-Kaplan-Nelson bound
• Thermodynamics of the most generalized form of Holographic Dark Energy and some particular cases with Corrected Entropies
• Black hole production, eternal inflation, and information in quasi-de Sitter space
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• Entropy Bounds and Holographic Dark Energy: Conflicts and Consensus
• Ultraviolet-Infrared Bounds and Minimum Coupling in Effective Field Theories
• Entropy and Black Holes in the Very Early Universe
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