Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints | Paper Citation Record

Observation 16a9e29d-e427-4ea2-aff6-ca16c8256ba4 · outbound

This paper cites The symmetric tensor field, γab =g ab +uaub,(A4) acts as the spatial projector orthogonal tou a.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints The symmetric tensor field, γab =g ab +uaub,(A4) acts as the spatial projector orthogonal tou a

Reference 1

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Reference 2

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Observation c611a900-b130-4788-88b1-e984c12c925b · outbound

This paper cites Applying the curl definition in Eq.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Applying the curl definition in Eq

Reference 3

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Observation 4486704c-86b1-40a9-9b15-79055f415019 · outbound

This paper cites (A9) withB ab yields, withτthe proper time along ua: 1 2 d dτ BabBab =−B ab(curlE)ab−θBabBab + 3Babσc⟨aBb⟩ c +B ab Bc⟨aωb⟩ c −2B abϵcd⟨aacEb⟩ d.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints (A9) withB ab yields, withτthe proper time along ua: 1 2 d dτ BabBab =−B ab(curlE)ab−θBabBab + 3Babσc⟨aBb⟩ c +B ab Bc⟨aωb⟩ c −2B abϵcd⟨aacEb⟩ d

Reference 4

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Reference 6

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Observation 86e52431-508c-4917-8c00-67d11a59e75d · outbound

This paper cites This sector is non-radiative and does not participate in the spectral-transfer dynamics of the Fjørtoft cascade.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints This sector is non-radiative and does not participate in the spectral-transfer dynamics of the Fjørtoft cascade

Reference 7

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Observation efc3001f-8cab-4d3f-a6de-406ea673e256 · outbound

This paper cites III and shown to be satisfied un- der controlled assumptions in Sec.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints III and shown to be satisfied un- der controlled assumptions in Sec

Reference 8

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Observation 34e15f78-46aa-4ff8-b53f-d39570181987 · outbound

This paper cites B, the complex STF Weyl tensorQ ab =E ab +iBab decomposes as in Eq.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints B, the complex STF Weyl tensorQ ab =E ab +iBab decomposes as in Eq

Reference 9

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Observation e996fc4d-feb5-41b0-9e57-f974f4550d0e · outbound

This paper cites With Ψ2 = ΨR 2 +iΨ I 2, EC ab = 2ΨR 2Pab, B C ab = 2ΨI 2Pab.(C7) This contributes to the magnetic norm, but not as a prop- agating mode.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints With Ψ2 = ΨR 2 +iΨ I 2, EC ab = 2ΨR 2Pab, B C ab = 2ΨI 2Pab.(C7) This contributes to the magnetic norm, but not as a prop- agating mode

Reference 10

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Observation e74efacf-c375-4025-af41-ed3e67edcaef · outbound

This paper cites OnlyδZ rad is the positive-definite enstrophy that pairs with energy.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints OnlyδZ rad is the positive-definite enstrophy that pairs with energy

Reference 11

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Reference 12

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Observation 199e0222-7991-4cf2-ac08-7cf952f75432 · outbound

This paper cites The radiative subspace does not close exactly under the nonlinear Bianchi equations.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints The radiative subspace does not close exactly under the nonlinear Bianchi equations

Reference 13

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Observation 1496023d-f4cc-408e-bfb9-411f1aeeb529 · outbound

This paper cites In Kerr and Kerr–AdS, the background curvature is Coulombic ( ¯Ψ2), while radiative perturbations live in δΨ0,δΨ 4.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints In Kerr and Kerr–AdS, the background curvature is Coulombic ( ¯Ψ2), while radiative perturbations live in δΨ0,δΨ 4

Reference 14

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Reference 16

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Observation b931b8e9-8a87-41c1-84db-9c0224326401 · outbound

This paper cites For an outgoing transverse mode, the duality rotation relates E and B.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints For an outgoing transverse mode, the duality rotation relates E and B

Reference 17

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Observation 6aeff496-93b3-4c79-a930-892de3d7e265 · outbound

This paper cites In a horizon-regular tetrad, the curvature flux through the horizon is governed by the normal component of the super-Poynting vector.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints In a horizon-regular tetrad, the curvature flux through the horizon is governed by the normal component of the super-Poynting vector

Reference 18

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Observation c43a5e6c-234b-406b-bb78-025c81a46eb4 · outbound

This paper cites The local flux density remains: saPa =s aϵabcEb dBcd,(D26) but the physical behavior is determined by the chosen boundary conditions at conformal infinity.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints The local flux density remains: saPa =s aϵabcEb dBcd,(D26) but the physical behavior is determined by the chosen boundary conditions at conformal infinity

Reference 19

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Observation 31779101-4393-408a-821f-50d1e49ab2b1 · outbound

This paper cites Let the boundary∂Dbe a timelike wall.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Let the boundary∂Dbe a timelike wall

Reference 20

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Reference 21

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Reference 22

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Observation 63742d3d-1ea6-45d7-a828-1f0a217a2136 · outbound

This paper cites For a stationary background spacetime, the metric sat- isfies∂ tγij = 0, reducing the extrinsic curvature to: Kij =− 1 2α (Diβj +Djβi).(E9) Using the circular ADM form in Eq.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints For a stationary background spacetime, the metric sat- isfies∂ tγij = 0, reducing the extrinsic curvature to: Kij =− 1 2α (Diβj +Djβi).(E9) Using the circular ADM form in Eq

Reference 23

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Observation 10cdf018-fbf2-4642-b28b-a069655808a4 · outbound

This paper cites For regular calculations at the horizon, a horizon- penetrating coordinate system must be employed.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints For regular calculations at the horizon, a horizon- penetrating coordinate system must be employed

Reference 24

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Reference 25

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Reference 26

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Reference 27

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Observation 01b5d457-4610-4948-8f94-ff73b364f556 · outbound

This paper cites (E36) is the sole bulk term that cannot be bounded purely by algebraic or kine- matic arguments, because the ZAMO acceleration di- verges at the horizon.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints (E36) is the sole bulk term that cannot be bounded purely by algebraic or kine- matic arguments, because the ZAMO acceleration di- verges at the horizon

Reference 28

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Reference 29

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Reference 30

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Observation f03d9ec2-5f2c-467c-b0bd-9f161322c3fb · outbound

This paper cites The shear and expansion are computed directly asσ ij =K ij− 1 3Kγij andθ=K(whereK= 0 for stationary circular back- grounds, but may be non-zero in dynamical spacetimes).

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints The shear and expansion are computed directly asσ ij =K ij− 1 3Kγij andθ=K(whereK= 0 for stationary circular back- grounds, but may be non-zero in dynamical spacetimes)

Reference 31

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Reference 32

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Observation a3b3815b-dc8a-4595-8b94-71eeb004f8a4 · outbound

This paper cites In a degenerate subspace, the energy and enstrophy are positive-definite quadratic forms on the mode ampli- tudes.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints In a degenerate subspace, the energy and enstrophy are positive-definite quadratic forms on the mode ampli- tudes

Reference 33

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Observation 8619dfd2-2cba-44c0-b263-09a4e37fb28d · outbound

This paper cites Schematically,H= P kχkΩkWk, where χk is a polarization or phase factor that can change sign.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Schematically,H= P kχkΩkWk, where χk is a polarization or phase factor that can change sign

Reference 34

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Observation 18e401ee-f443-4c48-b755-72151054ebcc · outbound

This paper cites Energy and enstro- phy leak through horizons, escape to infinity, or exchange with matter.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Energy and enstro- phy leak through horizons, escape to infinity, or exchange with matter

Reference 35

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Observation 9a750d71-ab40-40e7-86fd-0a3f6984246e · outbound

This paper cites In the super- radiant regime 0<ω <mΩ H, the canonical energy flux through the horizon is negative—the black hole feeds en- ergy into the mode.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints In the super- radiant regime 0<ω <mΩ H, the canonical energy flux through the horizon is negative—the black hole feeds en- ergy into the mode

Reference 36

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Observation 63fd904c-15da-445a-a5fb-79f63a97caac · outbound

This paper cites (42), with the fluid-weighted tensor of Eq.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints (42), with the fluid-weighted tensor of Eq

Reference 37

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Observation 1e4e2f01-aa1f-4d67-9471-bd75633cfed6 · outbound

This paper cites (49) together with the incompressibility iden- tity R σijσijd2x= 1 2 R ω2 fld2x(decaying or periodic data) factorizes it into Eq.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints (49) together with the incompressibility iden- tity R σijσijd2x= 1 2 R ω2 fld2x(decaying or periodic data) factorizes it into Eq

Reference 38

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Reference 39

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Observation 063d1d92-5c40-42a4-a27c-c3f73428adcc · outbound

This paper cites (52), and can be extracted by repeating the evaluation with the full first-order metric includingds 2 grad.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints (52), and can be extracted by repeating the evaluation with the full first-order metric includingds 2 grad

Reference 40

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Reference 41

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Observation 29fea042-ebc9-4214-b1c3-102258ec3971 · outbound

This paper cites Proposition 2 eliminates the radial compo- nentσ ˆrˆϕ, butσ ˆθ ˆϕ remains; we now show its effect is small.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Proposition 2 eliminates the radial compo- nentσ ˆrˆϕ, butσ ˆθ ˆϕ remains; we now show its effect is small

Reference 42

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Observation f53dacc6-f3ac-4dcf-bc85-1b2f4b2bf795 · outbound

This paper cites The fractional enstrophy loss through the horizon is FZ H+ δZ/τ nl ∼ ω2 Rκ+ ω2 R·ϵ 2ωR = κ+ ϵ2ωR → κ+ mΩH (ϵ∼O(1)).

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints The fractional enstrophy loss through the horizon is FZ H+ δZ/τ nl ∼ ω2 Rκ+ ω2 R·ϵ 2ωR = κ+ ϵ2ωR → κ+ mΩH (ϵ∼O(1))

Reference 43

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Observation b9287fb0-48e1-4394-b046-ac9c1740e192 · outbound

This paper cites But the interpretation of the near-horizon correction needs care.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints But the interpretation of the near-horizon correction needs care

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:55:06.497656Z

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Observation 645e1ddc-9ea3-4210-a7c9-a4e9b04a9464 · outbound

This paper cites For ZDMs,ω ℓmn ≃mΩ H − κ+[cℓm +i(n+ 1 2)], withc ℓm of order unity [43].

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints For ZDMs,ω ℓmn ≃mΩ H − κ+[cℓm +i(n+ 1 2)], withc ℓm of order unity [43]

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:55:06.476431Z

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Reference 46

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Observation 39d94f3d-9bca-4e84-9770-52391988418d · outbound

This paper cites Fjørtoft, Tellus5, 225 (1953).

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Fjørtoft, Tellus5, 225 (1953)

Reference 47

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Reference 48

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Observation 2e287a5f-6184-42cf-aa39-6808ea5921cb · outbound

This paper cites Turbulent Black Holes.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Turbulent Black Holes

Reference 49

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Observation 4b1ac565-7487-4fab-917c-4bf54f3c6945 · outbound

This paper cites Extremal Black Hole Weather.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Extremal Black Hole Weather

Reference 50

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Reference 51

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Observation 9eedde9d-c811-4517-8a17-66fbbdcf4a80 · outbound

This paper cites Turbulent flows for relativistic conformal fluids in 2+1 dimensions.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Turbulent flows for relativistic conformal fluids in 2+1 dimensions

Reference 52

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Observation bfa8f9ad-d922-49bc-9780-169baeae5275 · outbound

This paper cites Holographic turbulence.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Holographic turbulence

Reference 53

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Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Holographic Vorticity in the Fluid/Gravity Correspondence

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Observation 7e95892f-1b79-419d-9152-d15eb52a2e42 · outbound

This paper cites Enstrophy from symmetry.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Enstrophy from symmetry

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Observation f50b9e0c-c67d-4846-8ae4-d6a3184b32dd · outbound

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Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Gravitational Edge Modes, Coadjoint Orbits, and Hydrodynamics

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Observation c568b668-e8be-406e-9200-e9d01fba0f5f · outbound

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Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Non-linear black hole dynamics and Carrollian fluids

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Observation 3fa12353-1ac4-4d01-9a83-261adcf76090 · outbound

This paper cites an unresolved cited work.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Unresolved cited work

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Resolution: unresolved; no resolver link, observed 2026-08-15T14:55:04.773261Z

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Observation 2f5fcc69-841d-45de-b765-1bfe3d29b757 · outbound

This paper cites Kinnersley, J.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Kinnersley, J

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Observation 49e24293-b28d-4ca4-91f4-f96fc8f5529d · outbound

This paper cites Newman and R.

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Observation bc31db27-4b32-46f9-ae07-ab833d486c27 · outbound

This paper cites A Holographic Path to the Turbulent Side of Gravity.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints A Holographic Path to the Turbulent Side of Gravity

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Resolution: unresolved; no resolver link, observed 2026-08-15T14:55:04.793719Z

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Observation 5286a370-e174-49dd-b85b-c5054777c0d5 · outbound

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Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Scaling Relations in Two-Dimensional Relativistic Hydrodynamic Turbulence

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Resolution: unresolved; no resolver link, observed 2026-08-15T14:55:04.803795Z

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Observation 21216098-17ca-4c81-9d22-4eedb5183b12 · outbound

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Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Unresolved cited work

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Resolution: unresolved; no resolver link, observed 2026-08-15T14:55:04.810970Z

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Observation 46209c18-272f-46b0-b249-4df92e581f9e · outbound

This paper cites Bel, Comptes Rendus de l’Acad´ emie des Sciences247, 1094 (1958).

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Bel, Comptes Rendus de l’Acad´ emie des Sciences247, 1094 (1958)

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Resolution: unresolved; no resolver link, observed 2026-08-15T14:55:04.815438Z

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Observation c4e7cdc2-16d8-4ac3-b927-9a02947ed3b0 · outbound

This paper cites an unresolved cited work.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Unresolved cited work

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Resolution: unresolved; no resolver link, observed 2026-08-15T14:55:04.820304Z

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Observation 952a7898-1847-4558-858e-61ac3a3b8e41 · outbound

This paper cites Gravito-electromagnetism.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Gravito-electromagnetism

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Observation 8a20407b-c5f5-41d6-99c3-23619e670059 · outbound

This paper cites Friedrich, Classical and Quantum Gravity13, 1451 (1996).

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Friedrich, Classical and Quantum Gravity13, 1451 (1996)

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Observation b28803c0-9908-4437-986a-6895835fc2ea · outbound

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Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Coupled Oscillator Model for Nonlinear Gravitational Perturbations

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Observation 5010dd57-443a-41b7-83d3-afe28fc2b45f · outbound

This paper cites an unresolved cited work.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Unresolved cited work

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Resolution: unresolved; no resolver link, observed 2026-08-15T14:55:04.844273Z

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Observation d66fee9e-52aa-492c-8306-bee84d775395 · outbound

This paper cites an unresolved cited work.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Unresolved cited work

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Observation 6469debf-859d-41d0-811a-ee11ddd4abec · outbound

This paper cites Maggiore,Gravitational Waves: Volume 1: Theory and Experiments(2007).

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Observation ed2aca2a-3f5a-486c-aeeb-d4118f10799b · outbound

This paper cites Stability of Black Holes and Black Branes.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Stability of Black Holes and Black Branes

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Observation 046d1d08-40c2-4288-aaf9-c195f4f22f43 · outbound

This paper cites Canonical Energy and Hertz Potentials for Perturbations of Schwarzschild Spacetime.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Canonical Energy and Hertz Potentials for Perturbations of Schwarzschild Spacetime

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Observation 27138a19-a544-4881-b818-0e56d36a8f07 · outbound

This paper cites an unresolved cited work.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Unresolved cited work

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Observation 04330124-af69-4eb8-927e-1ef274d4e482 · outbound

This paper cites an unresolved cited work.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Unresolved cited work

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This paper cites Bel, General Relativity and Gravitation32, 2047 (2000), golden Oldie reprint of the 1962 original.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Bel, General Relativity and Gravitation32, 2047 (2000), golden Oldie reprint of the 1962 original

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Observation 76b76af9-966b-4964-9367-725d966ba140 · outbound

This paper cites Super-energy tensors.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Super-energy tensors

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Observation c4c07181-1ef5-4971-a78b-ff8d1381cff7 · outbound

This paper cites Dynamical laws of superenergy in General Relativity.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Dynamical laws of superenergy in General Relativity

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This paper cites Visualizing Spacetime Curvature via Frame-Drag Vortexes and Tidal Tendexes I. General Theory and Weak-Gravity Applications.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Visualizing Spacetime Curvature via Frame-Drag Vortexes and Tidal Tendexes I. General Theory and Weak-Gravity Applications

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Observation c7e57732-a339-45e3-82af-17b1ff5e7579 · outbound

This paper cites Chandrasekhar,The Mathematical Theory of Black Holes(Oxford University Press, New York, 1983).

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Chandrasekhar,The Mathematical Theory of Black Holes(Oxford University Press, New York, 1983)

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Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Unresolved cited work

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Observation 2b8701af-0b95-4ec2-9d0d-6334a465a050 · outbound

This paper cites an unresolved cited work.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Unresolved cited work

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Observation 5c9c3964-dc55-4437-8bfe-cde074fd5be3 · outbound

This paper cites an unresolved cited work.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Unresolved cited work

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Observation 304f01d9-fe0f-44c2-9b85-087a45159a7e · outbound

This paper cites Numerical computation of second order vacuum perturbations of Kerr black holes.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Numerical computation of second order vacuum perturbations of Kerr black holes

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Unavailable: canonical work link unavailable.

Observation 3cc09cc5-71b7-4565-bd63-c46e19c058d1 · outbound

This paper cites an unresolved cited work.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Unresolved cited work

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Observation 47b64a5e-1905-4abf-bdc1-e2c56ee3caf6 · outbound

This paper cites an unresolved cited work.

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Unresolved cited work

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Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Branching of quasinormal modes for nearly extremal Kerr black holes

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This paper cites Reynolds, Philosophical Transactions of the Royal So- ciety of London174, 935 (1883).

Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Reynolds, Philosophical Transactions of the Royal So- ciety of London174, 935 (1883)

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Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Quasi-Normal Modes of Schwarzschild Anti-De Sitter Black Holes: Electromagnetic and Gravitational Perturbations

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Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints On quasinormal modes of small Schwarzschild-Anti-de-Sitter black hole

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Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints On weakly turbulent instability of anti-de Sitter space

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Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Conserved quantities and dual turbulent cascades in Anti-de Sitter spacetime

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Observation efd7c1ba-f3c5-4c35-9b0b-3b4a6e3d3bfa · outbound

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Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Unresolved cited work

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Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Dauxois, Physics Today61, 55 (2008)

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Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints Gravitational Turbulent Instability of Anti-de Sitter Space

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Observation b68cfae8-0c1d-4e66-bacd-d976460dae2f · outbound

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Gravitational Enstrophy: Local Geometric Origin and Inverse-Cascade Constraints On the Nonlinear Stability of Asymptotically Anti-de Sitter Solutions

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