Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory | Paper Citation Record

Observation 7b79535f-f5dc-4994-a0dd-8c48ee7d4491 · outbound

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

Reference 1

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Observation 55cad777-6239-4f6a-8729-0c2a5854daf7 · outbound

This paper cites (21) Two immediate consequences follow.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory (21) Two immediate consequences follow

Reference 2

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Observation 6ac00e9d-c6bd-455b-9f00-ec8fe8fb389d · outbound

This paper cites 0 𝜋 2𝜋 −15 −10 −5 0 𝑋=𝑘𝑥 ˜Σ(𝑋) ˜Σ𝐸(𝑋)=−cos 2 𝑋 ˜ΣCP1 (𝑋)=−cos 2 𝑋− 4 𝑎2 𝑘4𝑟 2 FIG.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory 0 𝜋 2𝜋 −15 −10 −5 0 𝑋=𝑘𝑥 ˜Σ(𝑋) ˜Σ𝐸(𝑋)=−cos 2 𝑋 ˜ΣCP1 (𝑋)=−cos 2 𝑋− 4 𝑎2 𝑘4𝑟 2 FIG

Reference 3

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Observation 2e1046f6-540a-4fd6-8637-973028a63c92 · outbound

This paper cites (26) into the master formula, the rel- ative frequency shift is: ∆ω ω =− I0(ω;m) 2ε0ω2 FE h2 4σ4 Cb,(27) whereC b =⟨(ρ/σ) 4e−ρ2/σ2 ⟩E is the modal overlap factor.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory (26) into the master formula, the rel- ative frequency shift is: ∆ω ω =− I0(ω;m) 2ε0ω2 FE h2 4σ4 Cb,(27) whereC b =⟨(ρ/σ) 4e−ρ2/σ2 ⟩E is the modal overlap factor

Reference 4

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Observation 291dd8a0-98cd-47bf-8b58-ed2faa2b11de · outbound

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

Reference 5

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Observation 2087f4cf-2a31-40fd-8377-2253036179f1 · outbound

This paper cites 3, the vac- uum polarization pattern is uniform, but the magnitude is renormalized by the ambient background.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory 3, the vac- uum polarization pattern is uniform, but the magnitude is renormalized by the ambient background

Reference 6

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Observation 9b160f90-716c-42a6-b26a-1b2b40093003 · outbound

This paper cites Unlike the cylinder, this potential de- pends explicitly on the poloidal angleθ.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unlike the cylinder, this potential de- pends explicitly on the poloidal angleθ

Reference 7

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Observation 6f852cad-7cc3-4e45-b6a2-75b73c8efcf4 · outbound

This paper cites Thisθ-dependence breaks the symmetry between inner and outer distinct modes.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Thisθ-dependence breaks the symmetry between inner and outer distinct modes

Reference 8

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Observation 7d0209a2-4dfa-41ed-97b8-2d61c84d755d · outbound

This paper cites Schwinger, Phys.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Schwinger, Phys

Reference 9

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Observation 029933cb-eb5b-4f7e-83be-3e3b66fe0227 · outbound

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

Reference 10

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Observation 846dc263-a721-4eb9-bc73-28a29d9a7971 · outbound

This paper cites The expression becomes: I0(0;m) = 4q2 (2π)3 (4π) Z ∞ 0 dk k4 (k2 +m 2)3 = 2q2 π2 J(m).

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory The expression becomes: I0(0;m) = 4q2 (2π)3 (4π) Z ∞ 0 dk k4 (k2 +m 2)3 = 2q2 π2 J(m)

Reference 11

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Observation c42e3d29-6bb6-4e46-b6d5-2f2f1d09b3ba · outbound

This paper cites In this regime, the denom- inator is dominated by−Ω 2, and dimensional analysis suggestsI 0 ∼ R k4/Ω6dk.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory In this regime, the denom- inator is dominated by−Ω 2, and dimensional analysis suggestsI 0 ∼ R k4/Ω6dk

Reference 12

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Observation 46e66483-5092-4c53-848d-9460a5c0fb8f · outbound

This paper cites (A6) is specific to thequasi-3D(physical thin-layer) regime.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory (A6) is specific to thequasi-3D(physical thin-layer) regime

Reference 13

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

Reference 14

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Observation 78526ef5-1146-4cc7-8834-91d5b21b221e · outbound

This paper cites Encinosa and B.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Encinosa and B

Reference 15

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Observation 7a208f57-4afe-4235-93cb-7ccf3e77a0ee · outbound

This paper cites Ferrari and G.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Ferrari and G

Reference 16

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Observation b36c9693-9995-4e09-ab48-cc6ea3d6a05f · outbound

This paper cites Ortix, Phys.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Ortix, Phys

Reference 17

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Observation 74c3f18b-d1ba-40f1-9990-89d059acba8c · outbound

This paper cites Marcuse,Theory of Dielectric Optical Waveguides, 2nd ed.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Marcuse,Theory of Dielectric Optical Waveguides, 2nd ed

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

Reference 19

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

Reference 20

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Observation 4e4b6892-10fa-46b1-8610-b213686ba84a · outbound

This paper cites Overstreet, P.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Overstreet, P

Reference 21

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Observation d6811e17-9b7f-4f6d-b412-90b0e6a21013 · outbound

This paper cites Ferreiro, S.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Ferreiro, S

Reference 22

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Observation 6b4fded2-5920-4541-a326-3630657fd7a2 · outbound

This paper cites Rivera and I.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Rivera and I

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Observation 68999f93-bab5-4af9-b71d-337d03e84b4f · outbound

This paper cites Frisk Kockum, A.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Frisk Kockum, A

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

Reference 26

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

Reference 29

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

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Observation 284f31c7-515e-4509-b2a6-948774359039 · outbound

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Lustig, M.-I

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

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This paper cites Weinberg,The quantum theory of fields, Vol.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Weinberg,The quantum theory of fields, Vol

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Observation 8c2013b8-f69a-4d48-b094-f4d65f9140e3 · outbound

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Panangaden, Phys

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

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Observation e9665040-d349-4bf0-8ed5-c9b59655cafa · outbound

This paper cites Appelquist and J.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Appelquist and J

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Weinberg, Physics Letters B91, 51 (1980)

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

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Observation ca2ccf14-a8a0-45b9-a522-7edd6661ccd5 · outbound

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Parker and D

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Observation 404e2afc-c158-467f-82f0-5135dec48bc9 · outbound

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Barone and G

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Observation 61af7c30-e670-4c37-9716-62c3913ffeb7 · outbound

This paper cites Bordag, U.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Bordag, U

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Haroche and J.-M

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

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Observation f2f71e0e-fd33-450b-9f14-574f4ac270ec · outbound

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Cirac ` ı, R

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

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Observation a745d4da-0dad-479d-9537-ed4e7dbf6d86 · outbound

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Carusotto and C

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Steinhauer, Nature Physics12, 959 (2016)

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Weinfurtner, E

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Observation d983fe56-c1dc-483a-b733-cf26c6512efd · outbound

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Boada, A

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Observation 4970b09f-183d-47b6-a887-f703dc6dc102 · outbound

This paper cites an unresolved cited work.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

Reference 63

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Observation 1997ce38-af10-4f5b-8761-389bccb629bb · outbound

This paper cites Leonhardt, Science312, 1777 (2006).

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Leonhardt, Science312, 1777 (2006)

Reference 64

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Observation 8c4a6be9-0764-4aff-8d36-cc5d1484d3e5 · outbound

This paper cites an unresolved cited work.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

Reference 65

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Observation 6b74718d-067b-4fb2-a7a0-2e54e592ee0f · outbound

This paper cites Schurig, J.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Schurig, J

Reference 66

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Observation abf007d8-9827-4650-ae78-99c15a3ab9c8 · outbound

This paper cites Ginis, J.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Ginis, J

Reference 67

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Observation ae7b4d9a-9d9a-45fb-8e88-0da6cf571900 · outbound

This paper cites an unresolved cited work.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

Reference 68

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Observation a1b99a86-54d4-40e6-ad39-c9ab830e4364 · outbound

This paper cites Guinea, M.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Guinea, M

Reference 70

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Observation f0ac6bc3-f855-4a6f-9490-63069da24ff1 · outbound

This paper cites an unresolved cited work.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

Reference 71

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Observation c9035627-84f8-40e2-a166-5b57691774d9 · outbound

This paper cites an unresolved cited work.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

Reference 72

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Observation 705efda7-fb62-467a-af4d-cb3d2bd4bad3 · outbound

This paper cites an unresolved cited work.

Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

Reference 73

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Observation e85aa784-8124-4b1e-88d0-23df771d9f8c · outbound

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Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory Unresolved cited work

Reference 108

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