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Effect of gravitational field self-interaction on large structure formation
General Physics · Submitted 9 Jul 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We found that self-interaction accelerates sufficiently the growth of structures so that they can reach their presently observed density.
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The abstract, sentence by sentence
We check whether General Relativity's field self-interaction alleviates the need for dark matter to explain the universe's large structure formation. We found that self-interaction accelerates sufficiently the growth of structures so that they can reach their presently observed density. No free parameters, dark components or modifications of the known laws of nature were required. This result adds to the other natural explanations provided by the same approach to the, $inter~alia$, flat rotation curves of galaxies, supernovae observations suggestive of dark energy, and dynamics of galaxy clusters, thereby reinforcing its credibility as an alternative to the dark universe model.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We check whether General Relativity's field self-interaction alleviates the need for dark matter to explain the universe's large structure formation. | contribution 0.84 | 0.64 | 0.06 | unclear 0.57 |
| s1 | We found that self-interaction accelerates sufficiently the growth of structures so that they can reach their presently observed density. | result 1.00 | 0.95 | 0.74 | asserted 1.00 |
| s2 | No free parameters, dark components or modifications of the known laws of nature were required. | result 0.84 | 0.83 | 0.20 | asserted 1.00 |
| s3 | This result adds to the other natural explanations provided by the same approach to the, $inter~alia$, flat rotation curves of galaxies, supernovae observations suggestive of dark energy, and dynamics of galaxy clusters, thereby reinforcing its credibility as an alternative to the dark universe model. | interpretation 1.00 | 0.36 | 0.16 | asserted 0.95 |
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The paper
Original abstract
We check whether General Relativity's field self-interaction alleviates the need for dark matter to explain the universe's large structure formation. We found that self-interaction accelerates sufficiently the growth of structures so that they can reach their presently observed density. No free parameters, dark components or modifications of the known laws of nature were required. This result adds to the other natural explanations provided by the same approach to the, $inter~alia$, flat rotation curves of galaxies, supernovae observations suggestive of dark energy, and dynamics of galaxy clusters, thereby reinforcing its credibility as an alternative to the dark universe model.
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How the literature uses it
2 arXiv papers cite this in 3 sentences
Papers citing it · 2 sentences without a confident label
Contests it 1 paper
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Perhaps unsurprisingly therefore, the claims in [ref] and [ref] have been subsequently shown to be non-viable in [ref] and [ref] , respectively.
Gravitomagnetism and galaxy rotation curves: a cautionary tale · Introduction · contest 0.87
What it cites · 26 sentences without a confident label
Uses the method or tool of 3 papers
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The formalism of Ref. [ref] can be used to quantitatively test this possibility.
An explanation for dark matter and dark energy consistent with the Standard Model of particle physics and General Relativity · Role of field self-interaction in large structure formation · 0.87
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In the method described in Refs. [ref] (a lattice numerical approach), the force strengthening is interpreted as the collapse of field lines into the galactic disk, effectively reducing the 3-dimensional (3D) force to a 2-dimensional (2D) force $F_2D∝1/r$.
Implications of Graviton-Graviton Interaction to Dark Matter · Role of field self-interaction in large structure formation · 0.89
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In the method described in Refs. [ref] (a lattice numerical approach), the force strengthening is interpreted as the collapse of field lines into the galactic disk, effectively reducing the 3-dimensional (3D) force to a 2-dimensional (2D) force $F_2D∝1/r$.
Self-interacting scalar fields at high-temperature · Role of field self-interaction in large structure formation · 0.89
Uses data or values from 2 papers
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Cosmic microwave background (CMB) anisotropy data show [ref] that at recombination time ($t ≈3.7×10^-4$ Gyr, or redshift $z ≈1100$), the fractional density fluctuations $δ$ that will evolve to form the large structures have typical magnitudes of $≈10^-5$.
4-Year COBE DMR Cosmic Microwave Background Observations: Maps and Basic Results · Introduction · 0.98
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Equivalently for the present article, we could obtain $D_M (z)$ from the large-$z$ supernova data [ref] , since the universe evolution accounting for $D_M (z)$ agrees well with these data.
Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant · Role of field self-interaction in large structure formation · 0.93
Cites as support 6 papers
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Without modifying the known laws of nature or assuming exotic matter, GR's SI already provides natural solutions for several observations linked to dark matter, namely (1) the flat rotation curves of galaxies [ref] - [ref] ; (2) the tight empirical relation between the accelerations measured in galaxies and the accelerations calculated from the galactic baryonic contents [ref] ; (3) the internal dynamics of galaxy clusters, including the Bullet Cluster [ref] ; (4) the Tully-Fisher relation [ref] ; and (5) the correlation between the ellipticity of early-type galaxies and their inferred dark mass [ref] .
Relativistic corrections to the rotation curves of disk galaxies · Introduction · 0.99
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Without modifying the known laws of nature or assuming exotic matter, GR's SI already provides natural solutions for several observations linked to dark matter, namely (1) the flat rotation curves of galaxies [ref] - [ref] ; (2) the tight empirical relation between the accelerations measured in galaxies and the accelerations calculated from the galactic baryonic contents [ref] ; (3) the internal dynamics of galaxy clusters, including the Bullet Cluster [ref] ; (4) the Tully-Fisher relation [ref] ; and (5) the correlation between the ellipticity of early-type galaxies and their inferred dark mass [ref] .
Implications of Graviton-Graviton Interaction to Dark Matter · Introduction · 0.99
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Without modifying the known laws of nature or assuming exotic matter, GR's SI already provides natural solutions for several observations linked to dark matter, namely (1) the flat rotation curves of galaxies [ref] - [ref] ; (2) the tight empirical relation between the accelerations measured in galaxies and the accelerations calculated from the galactic baryonic contents [ref] ; (3) the internal dynamics of galaxy clusters, including the Bullet Cluster [ref] ; (4) the Tully-Fisher relation [ref] ; and (5) the correlation between the ellipticity of early-type galaxies and their inferred dark mass [ref] .
A relation between the dark mass of elliptical galaxies and their shape · Introduction · 0.99
Cites as background 1 paper
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Here, $ϕ_μ$ is the gluonic field and $α_s$ the QCD coupling [ref] .
The QCD Running Coupling · Field self-interactions in General Relativity and the Strong Interaction · 0.90
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