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Paper Citation Record · LEDGER

Scalar-tensor theories at different scales: averaging the scalar sector

As of 16 August 2026, this Paper Citation Record lists 66 of 66 outbound references and 1 inbound Pith citation observation for arXiv:2505.03909.

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pith.paper-citation-record.v1
2505.03909 v1

Coverage vector

measured 66 of 66 reference resolution

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Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-18T13:08:38.951906Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-18T13:11:24.180010Z

Reference resolution

66 of 66 outbound references displayed

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External citation measurements

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Outbound references

Observation a7d5ac39-9a7e-4510-8bdc-f84cef68d4ed · outbound

This paper cites On a large scales, the medium is ho- mogeneous and continuous so that it can be de- scribed as a fluid with constant density ρmacro.

Scalar-tensor theories at different scales: averaging the scalar sector On a large scales, the medium is ho- mogeneous and continuous so that it can be de- scribed as a fluid with constant density ρmacro

Reference 1

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Observation 345103d4-921c-43d7-a2a8-a44ba91e90a0 · outbound

This paper cites 1− e− ˜R ˜λ ˜R ˜λ + 1 ! sinhu u # ≃ 3 4π ˜R3.

Scalar-tensor theories at different scales: averaging the scalar sector 1− e− ˜R ˜λ ˜R ˜λ + 1 ! sinhu u # ≃ 3 4π ˜R3

Reference 2

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Observation faffb1a9-3b33-4ed8-86f5-3eeeba9e18b7 · outbound

This paper cites post-Newtonian approach to cosmological model- ing.

Scalar-tensor theories at different scales: averaging the scalar sector post-Newtonian approach to cosmological model- ing

Reference 3

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Observation 249a126f-c8c5-4541-a672-55ae85877c06 · outbound

This paper cites So far, we have used the Einstein-frame description but observations shall be analyzed in the Jordan frame [50, 51].

Scalar-tensor theories at different scales: averaging the scalar sector So far, we have used the Einstein-frame description but observations shall be analyzed in the Jordan frame [50, 51]

Reference 4

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Observation e0ab6201-861f-46c2-be61-0beed0b3de22 · outbound

This paper cites 4, the equation of state remains larger than −1, W ≥− 1, and is still driving an acceleration since W <−1/3.

Scalar-tensor theories at different scales: averaging the scalar sector 4, the equation of state remains larger than −1, W ≥− 1, and is still driving an acceleration since W <−1/3

Reference 5

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Observation c29f4ed0-174d-48b4-8b25-2d49319900d2 · outbound

This paper cites This also the case in models [48, 49] in which the scalar field coupled simply to a dark matter component to avoid varia- tions of fundamental constants [52].

Scalar-tensor theories at different scales: averaging the scalar sector This also the case in models [48, 49] in which the scalar field coupled simply to a dark matter component to avoid varia- tions of fundamental constants [52]

Reference 6

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Scalar-tensor theories at different scales: averaging the scalar sector Unresolved cited work

Reference 7

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This paper cites for sufficiently small values of ˜λ, δϕ departs from unity, reaching values larger than 10 5.

Scalar-tensor theories at different scales: averaging the scalar sector for sufficiently small values of ˜λ, δϕ departs from unity, reaching values larger than 10 5

Reference 8

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Scalar-tensor theories at different scales: averaging the scalar sector Relativistic cosmology

Reference 9

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Scalar-tensor theories at different scales: averaging the scalar sector Relativistic Cosmology: Its Nature, Aims and Problems

Reference 10

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Scalar-tensor theories at different scales: averaging the scalar sector The ’fitting problem’ in cosmology

Reference 11

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Scalar-tensor theories at different scales: averaging the scalar sector The Universe seen at dif- ferent scales

Reference 12

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Scalar-tensor theories at different scales: averaging the scalar sector Does the growth of structure affect our dynamical models of the universe? The averaging, backreaction and fitting problems in cosmology

Reference 13

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Observation 397a5358-1c03-4e27-852f-16c064040e2a · outbound

This paper cites On average properties of inhomogeneous fluids in general relativity I: dust cosmologies.

Scalar-tensor theories at different scales: averaging the scalar sector On average properties of inhomogeneous fluids in general relativity I: dust cosmologies

Reference 14

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Scalar-tensor theories at different scales: averaging the scalar sector On average properties of inhomogeneous fluids in general relativity: Perfect fluid cosmolo- gies

Reference 15

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Scalar-tensor theories at different scales: averaging the scalar sector Averaging Problem in General Relativity, Macroscopic Gravity and Using Einstein's Equations in Cosmology

Reference 16

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Scalar-tensor theories at different scales: averaging the scalar sector The Averaging Problem in Cosmology and Macroscopic Gravity

Reference 17

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Scalar-tensor theories at different scales: averaging the scalar sector Structure Formation, Backreaction and Weak Gravitational Fields

Reference 18

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Scalar-tensor theories at different scales: averaging the scalar sector Regional averaging and scaling in relativistic cosmology

Reference 19

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Scalar-tensor theories at different scales: averaging the scalar sector Coarse-Grained Effective Action and Renormalization Group Theory in Semiclassical Gravity and Cosmology

Reference 20

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Scalar-tensor theories at different scales: averaging the scalar sector A Renormalization Group Approach to Relativistic Cosmology

Reference 21

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Scalar-tensor theories at different scales: averaging the scalar sector Averaging of a locally inhomogeneous re- alistic universe

Reference 22

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Scalar-tensor theories at different scales: averaging the scalar sector Averaging in Cosmology

Reference 23

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Scalar-tensor theories at different scales: averaging the scalar sector Averaging Einstein's Equations: The Linearized Case

Reference 24

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Scalar-tensor theories at different scales: averaging the scalar sector Interpretation of the Hubble diagram in a nonhomogeneous universe

Reference 25

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Scalar-tensor theories at different scales: averaging the scalar sector Can all cosmological observations be accurately interpreted with a unique geometry?

Reference 26

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Scalar-tensor theories at different scales: averaging the scalar sector Do stochastic inhomogeneities affect dark-energy precision measurements?

Reference 27

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Scalar-tensor theories at different scales: averaging the scalar sector Unresolved cited work

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Scalar-tensor theories at different scales: averaging the scalar sector (Mis-)Interpreting supernovae observations in a lumpy universe

Reference 29

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Scalar-tensor theories at different scales: averaging the scalar sector The theory of stochastic cosmological lensing

Reference 30

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Scalar-tensor theories at different scales: averaging the scalar sector Weak gravitational lensing of finite beams

Reference 31

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Scalar-tensor theories at different scales: averaging the scalar sector Cosmic convergence and shear with extended sources

Reference 32

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Scalar-tensor theories at different scales: averaging the scalar sector Structure formation with a self-tuning scalar field

Reference 33

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Scalar-tensor theories at different scales: averaging the scalar sector The Effective Theory of Quintessence: the w<-1 Side Unveiled

Reference 34

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Scalar-tensor theories at different scales: averaging the scalar sector Spherical collapse in quintessence models with zero speed of sound

Reference 35

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Scalar-tensor theories at different scales: averaging the scalar sector Cosmological scaling solutions of non-minimally coupled scalar fields

Reference 36

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local_arxiv, observed 2026-08-15T23:50:27.653021Z

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Observation d9348921-5bb7-42eb-ba33-45b6fa93ff1d · outbound

This paper cites Testing screened scalar-tensor theories of gravity with atomic clocks.

Scalar-tensor theories at different scales: averaging the scalar sector Testing screened scalar-tensor theories of gravity with atomic clocks

Reference 37

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Observation f46deae3-12fb-42ff-a095-14bd505d968e · outbound

This paper cites Detecting Dark Energy in Orbit -- the Cosmological Chameleon.

Scalar-tensor theories at different scales: averaging the scalar sector Detecting Dark Energy in Orbit -- the Cosmological Chameleon

Reference 38

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Observation 208d7a5a-837e-445a-abdb-3f041d2fe02b · outbound

This paper cites Chameleon Dark Energy.

Scalar-tensor theories at different scales: averaging the scalar sector Chameleon Dark Energy

Reference 39

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Observation 434c5d29-b07b-4652-af59-d0494f49605a · outbound

This paper cites Evading Equivalence Principle Violations, Cosmological and other Experimental Constraints in Scalar Field Theories with a Strong Coupling to Matter.

Scalar-tensor theories at different scales: averaging the scalar sector Evading Equivalence Principle Violations, Cosmological and other Experimental Constraints in Scalar Field Theories with a Strong Coupling to Matter

Reference 40

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Observation b91bb11b-efd9-4474-bc91-b09b093ed2ce · outbound

This paper cites Strongly Coupled Chameleon Fields: New Horizons in Scalar Field Theory.

Scalar-tensor theories at different scales: averaging the scalar sector Strongly Coupled Chameleon Fields: New Horizons in Scalar Field Theory

Reference 41

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no resolver link, observed 2026-08-15T23:50:27.169349Z

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Observation 25b4a5e5-24ed-4223-962a-6a62c42ca866 · outbound

This paper cites Solving nonlinear Klein-Gordon equations on unbounded domains via the Finite Element Method.

Scalar-tensor theories at different scales: averaging the scalar sector Solving nonlinear Klein-Gordon equations on unbounded domains via the Finite Element Method

Reference 42

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local_arxiv, observed 2026-08-15T23:50:27.590455Z

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Observation 0cf8358b-18e7-453d-ae7b-f3fca4168e6d · outbound

This paper cites Towards well-posed and versatile numerical so- lutions of scalar-tensor theories of gravity with screening mechanisms : applications at sub-Solar system scales.

Scalar-tensor theories at different scales: averaging the scalar sector Towards well-posed and versatile numerical so- lutions of scalar-tensor theories of gravity with screening mechanisms : applications at sub-Solar system scales

Reference 43

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Observation ec60536a-b564-4f5a-9eb3-c672ca26ae01 · outbound

This paper cites What to expect from scalar-tensor space geodesy.

Scalar-tensor theories at different scales: averaging the scalar sector What to expect from scalar-tensor space geodesy

Reference 44

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local_arxiv, observed 2026-08-15T23:50:27.576120Z

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Observation cc5701c0-e1c7-46a4-bdcd-4e48b6e1e9f7 · outbound

This paper cites Chameleon Cosmology.

Scalar-tensor theories at different scales: averaging the scalar sector Chameleon Cosmology

Reference 45

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Observation 576f9c3f-da47-449e-959c-d4b2cadb716f · outbound

This paper cites Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space.

Scalar-tensor theories at different scales: averaging the scalar sector Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space

Reference 46

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no resolver link, observed 2026-08-15T23:50:27.186427Z

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source=pdf_text observed=2026-08-15T23:50:27.186427Z digest=sha256:d6ac0495f369f48d16bf1b1852d1c665140985decf4804bad0475ffc95c169b1

Observation 96ac499d-d5b9-4742-a514-27156f12eea0 · outbound

This paper cites Symmetron Fields: Screening Long-Range Forces Through Local Symmetry Restoration.

Scalar-tensor theories at different scales: averaging the scalar sector Symmetron Fields: Screening Long-Range Forces Through Local Symmetry Restoration

Reference 47

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no resolver link, observed 2026-08-15T23:50:27.189669Z

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Observation ea9d559f-ee2a-4da8-8897-99c6ba015f14 · outbound

This paper cites Post-Newtonian Cosmological Modelling.

Scalar-tensor theories at different scales: averaging the scalar sector Post-Newtonian Cosmological Modelling

Reference 48

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Observation 750a3116-d936-4508-be28-cb4646da2781 · outbound

This paper cites Cosmological backreaction in the presence of radiation and a cosmological constant.

Scalar-tensor theories at different scales: averaging the scalar sector Cosmological backreaction in the presence of radiation and a cosmological constant

Reference 49

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source=pdf_text observed=2026-08-15T23:50:27.196720Z digest=sha256:43ab50f4af630a4ad5eae89f48e048d98ea479fd5861c1bab39959a86f664823

Observation b9bdfbfc-d0de-436e-8f07-69e8b21ea71d · outbound

This paper cites Ray tracing and Hubble diagrams in post-Newtonian cosmology.

Scalar-tensor theories at different scales: averaging the scalar sector Ray tracing and Hubble diagrams in post-Newtonian cosmology

Reference 50

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no resolver link, observed 2026-08-15T23:50:27.200138Z

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source=pdf_text observed=2026-08-15T23:50:27.200138Z digest=sha256:93db6e86febdf35171c403ec463ed03e6a2976272a76bacc1b7bda53a336e263

Observation 1d92cf5e-ea28-433a-85a1-6714fe23265a · outbound

This paper cites Perturbatively constructed cosmological model with periodically distributed dust inhomogeneities.

Scalar-tensor theories at different scales: averaging the scalar sector Perturbatively constructed cosmological model with periodically distributed dust inhomogeneities

Reference 51

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local_arxiv, observed 2026-08-15T23:50:27.505265Z

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Observation 87191cc4-827b-47e4-a600-116e0d07a793 · outbound

This paper cites Emergent cos- mological expansion in scalar–tensor theories of grav- ity.

Scalar-tensor theories at different scales: averaging the scalar sector Emergent cos- mological expansion in scalar–tensor theories of grav- ity

Reference 52

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raw_fallback, observed 2026-08-15T23:50:27.491007Z

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Observation 5b8ceeb1-732c-40fd-a0f1-178b421ab5dd · outbound

This paper cites Cosmic backreaction and Gauss's law.

Scalar-tensor theories at different scales: averaging the scalar sector Cosmic backreaction and Gauss's law

Reference 53

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no resolver link, observed 2026-08-15T23:50:27.210673Z

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source=pdf_text observed=2026-08-15T23:50:27.210673Z digest=sha256:9c7546199ed85caa0005381b1376a4bb7f434aab5493bf819f21e9cb32f56d0c

Observation 39c478e2-1c85-4c63-903e-82ddec098670 · outbound

This paper cites Will, Theory and Experiment in Gravitational Physics (Cambridge University Press, Cambridge; New York, 1993).

Scalar-tensor theories at different scales: averaging the scalar sector Will, Theory and Experiment in Gravitational Physics (Cambridge University Press, Cambridge; New York, 1993)

Reference 54

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Observation 5d140d8e-1254-4c70-92ba-632d9ca07af5 · outbound

This paper cites Gravitational radiation from post-Newtonian sources and inspiralling com- pact binaries.

Scalar-tensor theories at different scales: averaging the scalar sector Gravitational radiation from post-Newtonian sources and inspiralling com- pact binaries

Reference 55

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verified exact
doi, observed 2026-08-15T23:50:27.285467Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 7be113fb-755e-440f-9e4a-b6e6b1d4b1ab · outbound

This paper cites Hubble tension as a window on the gravitation of the dark matter sector.

Scalar-tensor theories at different scales: averaging the scalar sector Hubble tension as a window on the gravitation of the dark matter sector

Reference 56

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Observation fb77e392-f0e8-4b5a-819b-0a507e3fa45d · outbound

This paper cites Hubble tension as a window on the gravitation of the dark matter sector: Exploration of a family of models.

Scalar-tensor theories at different scales: averaging the scalar sector Hubble tension as a window on the gravitation of the dark matter sector: Exploration of a family of models

Reference 57

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no resolver link, observed 2026-08-15T23:50:27.223598Z

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source=pdf_text observed=2026-08-15T23:50:27.223598Z digest=sha256:e645211ce713beca86df30092695173540430de48fef8024e0cbf0049754cd59

Observation dca04f1f-69c4-4e93-b9ea-2fa2f460373e · outbound

This paper cites Scalar-tensor gravity in an accelerating universe.

Scalar-tensor theories at different scales: averaging the scalar sector Scalar-tensor gravity in an accelerating universe

Reference 58

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no resolver link, observed 2026-08-15T23:50:27.227026Z

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source=pdf_text observed=2026-08-15T23:50:27.227026Z digest=sha256:3c09e0fcf3705ecdacf53863052c895b20948d3d2c2b707d09b75d7c3b95223d

Observation 9d8fe626-c09f-4d91-84a9-235f8fa49671 · outbound

This paper cites The acceleration of the universe and the physics behind it.

Scalar-tensor theories at different scales: averaging the scalar sector The acceleration of the universe and the physics behind it

Reference 59

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source=pdf_text observed=2026-08-15T23:50:27.230260Z digest=sha256:50e310c4a1717ae71c6e2556e9167c36ffca834ee3a8eff75cd022e71582eb2e

Observation 5696a0b1-5bf7-45dc-84a4-bbbd34a9e98c · outbound

This paper cites Fundamental constants: from measurement to the universe, a window on gravitation and cosmology.

Scalar-tensor theories at different scales: averaging the scalar sector Fundamental constants: from measurement to the universe, a window on gravitation and cosmology

Reference 60

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no resolver link, observed 2026-08-15T23:50:27.233652Z

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source=pdf_text observed=2026-08-15T23:50:27.233652Z digest=sha256:3f1828618839e736740313e341edc86b0d5ffc12d732b0d947b58566e177d473

Observation 6a4944ab-a95d-48b3-93d6-d81f35a6083b · outbound

This paper cites Tests of Chameleon Gravity.

Scalar-tensor theories at different scales: averaging the scalar sector Tests of Chameleon Gravity

Reference 61

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no resolver link, observed 2026-08-15T23:50:27.237036Z

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source=pdf_text observed=2026-08-15T23:50:27.237036Z digest=sha256:d490386aa863c91fecbe3c7f6fc0582db05beda2b0503d410d5f2601a33a21a5

Observation 4a0d941a-3f6a-4b9f-b378-d7aaa0d8d546 · outbound

This paper cites A general study of chameleon fifth force in gravity space experiments.

Scalar-tensor theories at different scales: averaging the scalar sector A general study of chameleon fifth force in gravity space experiments

Reference 62

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local_arxiv, observed 2026-08-15T23:50:27.326933Z

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source=pdf_text observed=2026-08-15T23:50:27.240604Z digest=sha256:e7c2a4dcaee3d33e28cad95ec0244798964274f5305a8faa1c4a2b7de9db87c4

Observation 9d3b0b94-daf9-4dfe-9b16-805f8a418bd4 · outbound

This paper cites Fifth force induced by a chameleon field on nested cylinders.

Scalar-tensor theories at different scales: averaging the scalar sector Fifth force induced by a chameleon field on nested cylinders

Reference 63

Resolution
verified exact
local_arxiv, observed 2026-08-15T23:50:27.313335Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T23:50:27.244432Z digest=sha256:eb956aa62ff49c13be6dc4cd2eff3e943d8ed7f4b4838b7386e573018d3ee865

Observation 4b1d020e-b8e7-40f8-a649-4e7dac5bbfb8 · outbound

This paper cites Constraints on chameleon gravity from the measurement of the electrostatic stiffness of the MICROSCOPE mission accelerometers.

Scalar-tensor theories at different scales: averaging the scalar sector Constraints on chameleon gravity from the measurement of the electrostatic stiffness of the MICROSCOPE mission accelerometers

Reference 64

Resolution
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local_arxiv, observed 2026-08-15T23:50:27.299775Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-15T23:50:27.247685Z digest=sha256:e0907f6430833a0460bec619800b143f9a79c7af40c23eff5e249270502415c4

Observation e1d2a457-b251-4cbd-80ad-05df7d8da89a · outbound

This paper cites Fast evaluation of finite element weak forms using python tensor contraction packages.

Scalar-tensor theories at different scales: averaging the scalar sector Fast evaluation of finite element weak forms using python tensor contraction packages

Reference 65

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raw_fallback, observed 2026-08-15T23:50:28.005418Z

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Observation 7cba157b-5ee2-48fb-a6bf-d6cc5c858cff · outbound

This paper cites Abramowitz, and I.A.

Scalar-tensor theories at different scales: averaging the scalar sector Abramowitz, and I.A

Reference 66

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source=pdf_text observed=2026-08-15T23:50:27.254522Z digest=sha256:a15f94f2e9d6da27d662c16c31c02fbf82bc38c9f0ae9387dffee4537feb5e56

Pith citing papers

Observation 60b30735-d21e-40e6-a933-0c197161f559 · inbound

Prospect on constraining environment-dependent dilaton model from gravitational redshift measurements cites this paper.

Prospect on constraining environment-dependent dilaton model from gravitational redshift measurements Scalar-tensor theories at different scales: averaging the scalar sector

Reference 26

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arxiv_id, observed 2026-05-18T13:11:24.182279Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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