violation of Kramers-Kronig relations and curvature in spacetime - PowerPoint PPT Presentation

Entanglement, violation of Kramers-Kronig relations and curvature in spacetime (supplementary presentation) Mehmet Emre Tasgin Institute of Nuclear Sciences Hacettepe University

a maximally entangled ER-bridge (wormhole) [1,2,3] Schwinger pair (QFT) gravitational theory [1] Julian Sonner, “Holographic schwinger effect and the geometry of entanglement,” Physical Review Letters 111 , 211603 (2013). [2] Kristan Jensen and Andreas Karch , “Holographic dual of an einstein-podolsky-rosen pair has a wormhole,” Physical Review Letters 111 , 211602 (2013). [3] Juan Maldacena and Leonard Susskind, “Cool horizons for entangled black holes,” Fortschritte der Physik 61 , 781 – 811 (2013).

a maximally entangled ER-bridge (wormhole) [1,2,3] Schwinger pair (QFT) gravitational theory Question: is weak entanglement ≡ curvature ? [1] Julian Sonner, “Holographic schwinger effect and the geometry of entanglement,” Physical Review Letters 111 , 211603 (2013). [2] Kristan Jensen and Andreas Karch , “Holographic dual of an einstein-podolsky-rosen pair has a wormhole,” Physical Review Letters 111 , 211602 (2013). [3] Juan Maldacena and Leonard Susskind, “Cool horizons for entangled black holes,” Fortschritte der Physik 61 , 781 – 811 (2013).

Question: is weak entanglement ≡ curvature ? single-mode presence of Violates KK nonclassicality 𝑕 𝜈, 𝜉 = small curvature [4,5,6] relations (SMNc) in QED [4] Timothy J Hollowood and Graham M Shore, “The refractive index of curved spacetime: the fate of causality in QED,” Nuclear physics B 795 , 138 – 171 (2008). [5] Timothy J Hollowood and Graham M Shore, “ Causality and micro-causality in curved spacetime ,” Physics Letters B 655, 67– 74 (2007). [6] Graham M Shore, “Quantum gravitational optics,” Contemporary Physics 44 , 503 – 521 (2003).

Question: is weak entanglement ≡ curvature ? single-mode presence of Violates KK nonclassicality 𝑕 𝜈, 𝜉 = small curvature relations (SMNc) in QED vacuum polarization Entanglement of the ( 𝑓 + − 𝑓 − pair s ) background (ensemble generating the excitation)

Question: is weak entanglement ≡ curvature ? single-mode presence of Violates KK nonclassicality 𝑕 𝜈, 𝜉 = small curvature relations (SMNc) in QED vacuum polarization not a common Entanglement of the ( 𝑓 + − 𝑓 − pair s ) phenomenon background (ensemble generating the excitation)

Question: is weak entanglement ≡ curvature ? single-mode presence of Violates KK nonclassicality 𝑕 𝜈, 𝜉 = small curvature relations (SMNc) in QED not a common phenomenon a maximally entangled ER-bridge (wormhole) [1,2,3] Schwinger pair (QFT) gravitational theory

Causality? single-mode presence of Violates KK nonclassicality 𝑕 𝜈, 𝜉 = small curvature relations (SMNc) in QED not a common not violate causality! phenomenon although superluminal

Causality? single-mode presence of Violates KK nonclassicality 𝑕 𝜈, 𝜉 = small curvature relations (SMNc) in QED If equivalent not violate causality! although superluminal

Causality? single-mode presence of Violates KK nonclassicality 𝑕 𝜈, 𝜉 = small curvature relations (SMNc) in QED If equivalent not violate causality! although superluminal SMNc also not violate causality!

Causality? single-mode presence of Violates KK nonclassicality 𝑕 𝜈, 𝜉 = small curvature relations (SMNc) in QED If equivalent not violate causality! although superluminal SMNc also not violate causality! a maximally entangled ER-bridge (wormhole) [1,2,3] Schwinger pair (QFT) gravitational theory