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arxiv: 2606.04578 · v1 · pith:MYYAV5COnew · submitted 2026-06-03 · 🌌 astro-ph.CO

Cosmography of the Sloan Basin of Attraction and Neighborhood

Daniel Pomarede , R. Brent Tully , Aurelien Valade , Noam Libeskind , Yehuda Hoffman This is my paper

Pith reviewed 2026-06-28 05:20 UTC · model grok-4.3

classification 🌌 astro-ph.CO
keywords Sloan Great Wallbasin of attractionvelocity streamlinescosmographyCosmicflows-4V-webLambdaCDMbaryon acoustic oscillation
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The pith

Reconstructed velocity streamlines show the Sloan basin of attraction as the largest in the local region with diameter ~0.13c.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

This paper uses galaxy distance and velocity measurements to reconstruct the density and velocity fields in the nearby universe within a standard cosmological model. By following the paths of the velocity field, it identifies regions where flows converge to the same point, defining basins of attraction around mass concentrations. The analysis finds that the basin associated with the Sloan Great Wall is by far the biggest in the mapped area. Understanding these basins reveals how gravity shapes the large-scale flows and structure in our cosmic neighborhood.

Core claim

Hamiltonian Monte Carlo forward reconstruction in a LambdaCDM framework, constrained by Cosmicflows-4, produces probabilistic density and velocity fields. Streamlines of the velocity field converge to sinks corresponding to gravitational potential minima. The Sloan basin of attraction is the largest, with a diameter of ~0.13c, and can be traced by converging streamlines on the Sloan Great Wall, the density field, and the V-web filaments from velocity shear.

What carries the argument

Basin of attraction as the volume of all velocity streamlines ending at the same gravitational potential minimum sink.

If this is right

  • The Sloan Great Wall serves as the primary gravitational attractor for flows in this volume.
  • The basin appears consistently across velocity streamlines, density reconstruction, and shear-defined filaments.
  • Probabilities and uncertainties can be assigned to the basin identification due to data limitations and model randomness.
  • The Ho`oleilana baryon acoustic oscillation feature has a relationship to this basin that merits further exploration.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Similar reconstructions in other regions could map the full hierarchy of basins across the observable universe.
  • Discrepancies between this reconstruction and N-body simulations might highlight missing physics in the model.
  • The method provides a way to visualize and quantify the influence of known structures like the Sloan Great Wall on cosmic expansion.

Load-bearing premise

The LambdaCDM forward reconstruction from the Cosmicflows-4 data accurately locates the true gravitational potential minima and associated basins without major biases from incomplete data or model assumptions.

What would settle it

A more complete survey of galaxy distances and velocities in the region showing that streamlines do not predominantly converge on the Sloan Great Wall or that the potential minimum is elsewhere.

Figures

Figures reproduced from arXiv: 2606.04578 by Aurelien Valade, Daniel Pomarede, Noam Libeskind, R. Brent Tully, Yehuda Hoffman.

Figure 1
Figure 1. Figure 1: — Video visualization of the cosmography of the Sloan Basin of Attraction and neighborhood ← click on this link [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: — Contours of over density involving the CfA Great Wall and Hercules complex. Velocity streamlines from 1000 trials em￾anate from the Coma Cluster as a source. Orange streamlines illustrate the 25% that terminate within the CfA Great Wall, the blue streamlines illustrate the 1/3 that terminate in the Hercules region, and the black lines illustrate the 40% that terminate in the Shapley concentration. Scene … view at source ↗
Figure 4
Figure 4. Figure 4: — The p = 0.5 shell of the Sloan BoA, the average of 1000 HMC realizations, with overdensity contours from the mean HMC density field at δ 1.2,1.7,2.2,2.8 (levels used in subsequent figures). ACO clusters within the Sloan BoA are located by open circles. Distinct colors are given to those in 14 superclusters given names in the figure (Einasto et al. 1994). Scene at 04:25 in video. View it in 3D in this int… view at source ↗
Figure 6
Figure 6. Figure 6: — Streamlines seeded throughout the Sloan BoA go to a sink within the Scl 126 supercluster. Scene at 05:00 in video. View it in 3D in this interactive visualization [PITH_FULL_IMAGE:figures/full_fig_p005_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: — Density contours isolated to the spine of the Sloan Great Wall. ACO clusters are located with colored balls (Scl 136: yellow; Scl 126: cyan; Scl 111: blue; Scl 91: tan; Scl 258: red). Scene at 06:10 in video. are differences in the relative populations of spirals and ellipticals between supercluster regions with the fraction of red galaxies largest in the core of the supercluster Scl 126. They suggest th… view at source ↗
Figure 8
Figure 8. Figure 8: — Density contours are extended to include the Boötes supercluster structure. Associated ACO clusters are shown as red balls; purple balls are within the adjacent Scl 122. Scene at 06:14 in video. View it in 3D in this interactive visualization. ray observations of the dominant Abell 1795 indicate this cluster is reasonably relaxed (Kovács et al. 2023). The nearby Abell 1775 is interesting: it contains an … view at source ↗
Figure 10
Figure 10. Figure 10: — The Corona Borealis+19.6 with p = 0.5 and 0.3 levels in dust blue and grey and Corona Borealis+23.7 with the p = 0.3 level in red are behind the prospective Boötes+21.6 BoA at p = 0.3 in violet. Sloan Great Wall BoA surfaces in cyan and blue are at lower right. Scene at 07:15 in video View it in 3D in this interactive visualization. 1015M⊙ A2061 at 3h −1 Mpc in projection in a few Gyr. To paraphrase Ein… view at source ↗
Figure 12
Figure 12. Figure 12: — A superposition of V-web filaments and knots on the HMC density contours for the full CF4 volume. High density HMC levels are shown as pink and red isosurfaces and V-web filaments and knots are shown in cyan and yellow, respectively. View it in 3D in this interactive visualization. Scene at 08:55 in video [PITH_FULL_IMAGE:figures/full_fig_p007_12.png] view at source ↗
Figure 13
Figure 13. Figure 13: — The Ho‘oleilana Baryon Acoustic Oscillation feature is superimposed on the Hamiltonian Monte Carlo Basin of At￾traction structures. The primary known BoA surfaces are shown at p=0.5: SGW BoA (blue), Hercules-CfAGW (Green), Perseus￾Pisces (cyan), Shapley (yellow), and Ophiuchus (gold). Black velocity streamlines seeded randomly accumulate at BoA cores. Galaxies from the CF4 sample are represented by smal… view at source ↗
Figure 14
Figure 14. Figure 14: — Daniel’s Path (blue) along the V-web from the Milky Way to the Sloan BoA. This path is explored in this video. Notable features along this path, the northernmost path of all paths, are the CfA Great Wall, Coma cluster, Dragon’s Tail filament, Corona Borealis Supercluster, and Boötes+30 Wall [PITH_FULL_IMAGE:figures/full_fig_p011_14.png] view at source ↗
Figure 15
Figure 15. Figure 15: — Brent’s Path (orange) along the V-web from the Milky Way to the Sloan BoA is explored in this video. After a short detour through the galactic south across the Cen-Pup-PP filament and Perseus cluster, the path follows a complex network of filaments crossing the Zone of Avoidance down to an X-chromosome shaped knot, a branch of which leads to the Sextans entry point to Sloan Basin of Attraction [PITH_FU… view at source ↗
Figure 16
Figure 16. Figure 16: — Aurélien’s Path (red) along the V-web from the Milky Way to the Sloan BoA is explored in this video. Notable features along this path are the CfA Great Wall, Hercules Supercluster, and Boötes Supercluster [PITH_FULL_IMAGE:figures/full_fig_p012_16.png] view at source ↗
Figure 17
Figure 17. Figure 17: — Noam’s Path (green) along the V-web from the Milky Way to the Sloan BoA is explored in this video. This is the southernmost path of all pathes. After a long detour through the galactic south across the Cen-Pup-PP filament, Perseus, Sculptor, Grus, the path crosses the Zone of Avoidance at the Circinus Bridge between the Triangulum Australis cluster and the Shapley Concentration. The path then warps arou… view at source ↗
Figure 18
Figure 18. Figure 18: — Yehuda’s Path (brown) along the V-web from the Milky Way to the Sloan BoA is explored in this video. The path runs through the Great Attractor region to detour through the galactic south at Norma and the Norma-Pavo-Indus filament, returning to galactic north through the Scutum Bridge across the Zone of Avoidance in the vicinity of Ophiuchus cluster, onward to Hercules Supercluster, takes a lengthy road … view at source ↗
Figure 19
Figure 19. Figure 19: — The skeletons of the five paths. View them in 3D in this interactive visualization [PITH_FULL_IMAGE:figures/full_fig_p014_19.png] view at source ↗
read the original abstract

The Sloan Great Wall is a dominant structure that is relatively nearby. As well as evident in redshift survey maps, its presence is manifested in distortions to cosmic expansion. Here, Hamiltonian Monte Carlo forward reconstruction in a {\Lambda}CDM framework gives probabilistic density and velocity fields constrained by the Cosmicflows-4 compendium of galaxy distances and radial velocities. Streamlines of the reconstructed velocity field started from arbitrary points in space can be followed to sinks, i.e. the minima of the gravitational potential, due to the distribution of mass. A basin of attraction encompasses the volume of all streamlines ending at the same sink. The solution can be assigned probabilities, with uncertainties associated with the imperfect data and the random nature of the {\Lambda}CDM model. The Sloan basin of attraction is by far the largest basin in the study region, extending across a diameter of ~0.13c. It can be described by velocity streamlines that converge on the Sloan Great Wall, by the reconstructed density field, and by the network of filaments of the V-web, formulated by shear in the velocity field. The discussion of these elements is augmented by a video and interactive models. It is of interest to see the relationship of the Ho`oleilana baryon acoustic oscillation feature with the Sloan basin of attraction.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript applies Hamiltonian Monte Carlo forward reconstruction in a ΛCDM framework, constrained by the Cosmicflows-4 compendium, to generate probabilistic density and velocity fields. Basins of attraction are identified by tracing velocity streamlines to gravitational potential minima (sinks). The central result is that the Sloan basin of attraction is the largest in the study region, with a diameter of ~0.13c, and is characterized by converging streamlines to the Sloan Great Wall, the reconstructed density field, and the V-web filaments defined via velocity shear. The work also relates this structure to the Ho'oleilana baryon acoustic oscillation feature and supplies visualizations.

Significance. If the reconstruction reliably locates potential minima without dominant biases, the work supplies a probabilistic cosmographic map of local gravitational flows and the cosmic web on scales up to ~0.13c. The use of multiple independent descriptors (streamlines, density, V-web) and the provision of probabilistic uncertainties constitute methodological strengths. The visualizations and interactive models aid interpretability.

major comments (2)
  1. [Methods / Reconstruction] The central claim that the Sloan basin is accurately recovered and is by far the largest rests on the assumption that the HMC reconstruction from Cosmicflows-4 recovers true potential minima without dominant systematic biases from incompleteness or model assumptions. No quantitative validation, convergence tests, error budgets, or comparisons to independent data or simulations are reported to support this assumption.
  2. [Results / Basin Identification] The basin definition is obtained directly from the reconstructed velocity field via streamline tracing to sinks. Without reported tests for sensitivity to the probabilistic sampling or data gaps, it is unclear whether the reported diameter of ~0.13c and dominance over other basins could be affected by reconstruction artifacts.
minor comments (2)
  1. [Abstract] The abstract states that 'the solution can be assigned probabilities' but does not indicate how these probabilities are propagated into the basin boundaries or the quoted diameter.
  2. [Discussion] The relationship between the Sloan basin and the Ho'oleilana feature is mentioned but lacks quantitative measures (e.g., overlap statistics or distance between features).

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their thorough review and valuable comments. We respond point-by-point to the major comments below.

read point-by-point responses

  1. Referee: [Methods / Reconstruction] The central claim that the Sloan basin is accurately recovered and is by far the largest rests on the assumption that the HMC reconstruction from Cosmicflows-4 recovers true potential minima without dominant systematic biases from incompleteness or model assumptions. No quantitative validation, convergence tests, error budgets, or comparisons to independent data or simulations are reported to support this assumption.

    Authors: The HMC forward reconstruction builds on the same methodology validated in our prior Cosmicflows papers, where convergence, bias tests against mocks, and comparisons to independent datasets were presented. The current work is an application paper focused on cosmography rather than method development; the posterior sampling itself supplies the error budget, and internal consistency is checked via agreement among streamlines, density field, and V-web. We agree that explicit cross-references to those validations plus a short robustness subsection would strengthen the manuscript and will add them. revision: yes

  2. Referee: [Results / Basin Identification] The basin definition is obtained directly from the reconstructed velocity field via streamline tracing to sinks. Without reported tests for sensitivity to the probabilistic sampling or data gaps, it is unclear whether the reported diameter of ~0.13c and dominance over other basins could be affected by reconstruction artifacts.

    Authors: We will add a brief analysis showing that the Sloan basin remains the dominant structure (both in extent and in streamline convergence) when the same tracing is repeated on individual posterior samples and on reconstructions with masked data gaps. This directly tests sensitivity to sampling and incompleteness while remaining within the existing posterior ensemble. revision: yes

Circularity Check

0 steps flagged

No significant circularity

full rationale

The paper performs a standard cosmographic analysis by applying Hamiltonian Monte Carlo forward reconstruction in a ΛCDM model constrained by the Cosmicflows-4 dataset to recover probabilistic density and velocity fields. Basins of attraction are then identified as the volumes of streamlines converging to the same gravitational potential minimum (sink). This identification follows directly from the reconstructed fields using established streamline and V-web methods without any definitional reduction, fitted parameter renamed as prediction, or load-bearing self-citation chain. The central claim (Sloan basin as largest) is an empirical mapping result within the survey volume and does not loop back to the input data or model assumptions by construction. The derivation is self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the validity of the ΛCDM model for relating density to velocity and on the assumption that Cosmicflows-4 provides sufficient unbiased constraints for the reconstruction.

axioms (1)
  • domain assumption The ΛCDM model accurately describes the relationship between the density field and the peculiar velocity field on the scales probed by Cosmicflows-4.
    The reconstruction is performed entirely within a ΛCDM framework as stated in the abstract.

pith-pipeline@v0.9.1-grok · 5773 in / 1331 out tokens · 35312 ms · 2026-06-28T05:20:51.062118+00:00 · methodology

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