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

Entanglement, violation of Kramers-Kronig relations and curvature in spacetime

Mehmet Emre Tasgin

Institute of Nuclear Sciences Hacettepe University

(supplementary presentation)

a maximally entangled Schwinger pair (QFT) ER-bridge (wormhole) gravitational theory [1,2,3]

[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 Schwinger pair (QFT) ER-bridge (wormhole) gravitational theory [1,2,3]

[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 ?

Question: is weak entanglement ≡ curvature ? single-mode nonclassicality

(SMNc)

Violates KK relations presence of 𝑕𝜈, 𝜉 =small curvature in QED [4,5,6]

[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 nonclassicality

(SMNc)

Entanglement of the background (ensemble generating the excitation) Violates KK relations presence of 𝑕𝜈, 𝜉 =small curvature in QED vacuum polarization (𝑓+ − 𝑓− pairs)

Question: is weak entanglement ≡ curvature ? single-mode nonclassicality

(SMNc)

Entanglement of the background (ensemble generating the excitation) Violates KK relations presence of 𝑕𝜈, 𝜉 =small curvature in QED not a common phenomenon vacuum polarization (𝑓+ − 𝑓− pairs)

Question: is weak entanglement ≡ curvature ? single-mode nonclassicality

(SMNc)

Violates KK relations presence of 𝑕𝜈, 𝜉 =small curvature in QED not a common phenomenon a maximally entangled Schwinger pair (QFT) ER-bridge (wormhole) gravitational theory [1,2,3]

Causality? single-mode nonclassicality

(SMNc)

Violates KK relations presence of 𝑕𝜈, 𝜉 =small curvature in QED not a common phenomenon not violate causality! although superluminal

Causality? single-mode nonclassicality

(SMNc)

Violates KK relations presence of 𝑕𝜈, 𝜉 =small curvature in QED not violate causality! although superluminal If equivalent

Causality? single-mode nonclassicality

(SMNc)

Violates KK relations presence of 𝑕𝜈, 𝜉 =small curvature in QED not violate causality! although superluminal If equivalent SMNc also not violate causality!

Causality? single-mode nonclassicality

(SMNc)

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