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arxiv: 2605.16505 · v1 · pith:H2F2JL4Tnew · submitted 2026-05-15 · 🌌 astro-ph.GA

Feedback driven interactions between dark and luminous matter to explain tight galaxy scaling relations

Pith reviewed 2026-05-20 15:48 UTC · model grok-4.3

classification 🌌 astro-ph.GA
keywords galaxy scaling relationsstellar feedbackdark matter haloshydrodynamical simulationsbaryon-dark matter couplingdisk-halo connectioncosmic evolution
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The pith

Stellar feedback in standard simulations naturally produces the tight observed link between galaxy disk sizes and dark matter halo radii.

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

The paper examines why galaxies show a remarkably tight correlation between the scale length of their stellar disks and the characteristic radius of their dark matter halos. Using cosmological simulations that incorporate only gravity and ordinary baryonic processes, it finds that this relation emerges automatically from the way feedback from stars rearranges the inner structure of halos. Tracking the same galaxies across cosmic time reveals that most systems adjust their disk and halo scales together, keeping the relation tight as they evolve. This outcome suggests the coupling between luminous and dark matter is a consequence of ordinary feedback rather than any new interaction in the dark sector.

Core claim

Hydrodynamical simulations that include only gravitational interactions and stellar feedback reproduce both the normalization and small scatter of the observed relation between stellar disk scale length Rd and dark matter scale radius r0 at the present day. Galaxies follow three evolutionary paths but preferentially move along the relation while their stellar and dark components rebalance, resulting in mild changes to normalization and slope from redshift 2 to 0. Direct comparison to dark-matter-only runs isolates the role of baryons in reshaping the central potential.

What carries the argument

The Rd-r0 scaling relation, whose evolution is isolated by comparing full hydrodynamical runs to their dark-matter-only counterparts to reveal the structural impact of stellar feedback.

If this is right

  • Galaxies evolve along the relation as stellar and dark matter scales adjust together over time.
  • The relation's normalization decreases mildly and its slope flattens slightly from z=2 to z=0.
  • Stellar feedback is sufficient to establish the observed coupling without additional dark-sector physics.
  • Three distinct evolutionary classes appear: disk expansion, contraction, and quasi-static evolution.

Where Pith is reading between the lines

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

  • Similar feedback-driven adjustments may underlie other tight galaxy scaling relations such as the Tully-Fisher or size-luminosity correlations.
  • High-redshift surveys could test whether the relation's scatter decreases toward lower redshift as predicted.
  • If the mechanism holds, models of galaxy formation can rely on standard feedback prescriptions rather than invoking direct dark matter-baryon couplings.

Load-bearing premise

The specific feedback implementation and numerical resolution used in the simulations correctly capture the dominant processes that set the relation between stellar disks and dark matter halos in real galaxies.

What would settle it

Precise measurements of the Rd-r0 relation at redshift 2 that show a normalization offset larger than 0.1 dex or a slope outside 0.8-1.2 would contradict the predicted mild evolution.

Figures

Figures reproduced from arXiv: 2605.16505 by Andrea V. Macci\`o, Carlo Cannarozzo, Leen Alrawas.

Figure 1
Figure 1. Figure 1: 𝑟0 versus 𝑅𝑑 in observed and simulated galaxies. The dashed line is the fit calculated in this work for the observed galaxies, and the green line is the fit reported in Salucci et al. (2020); Nesti et al. (2023) for selected datasets. following the methodology adopted in Salucci et al. (2020) and Nesti et al. (2023). Two examples of simulated profiles and relative fits are shown in Fig.2 for the dark matte… view at source ↗
Figure 2
Figure 2. Figure 2: The dark matter density profile for a halo of mass 2.41 × 1011𝑀⊙ fitted to the ISO profile 3, and the surface stellar density profile for the same halo fitted to the Freeman disk 1. in both scales. Additionally, a small number of galaxies exhibit more stochastic behavior, scattering around a localized region of the plane without adhering to a clear evolutionary path. To better quantify the evolutionary beh… view at source ↗
Figure 3
Figure 3. Figure 3: Evolution of the 𝑅𝑑 −𝑟0 relation for individual galaxies in the NIHAO sample. Each panel shows the evolutionary track of a single galaxy in the log(𝑅𝑑 )–log(𝑟0 ) plane, color-coded by redshift from 𝑧 = 2 (red) to 𝑧 = 0 (violet). The trajectories have been smoothed using spline interpolation, and arrows indicate the direction of evolution toward decreasing redshift. The black solid curve represents the medi… view at source ↗
Figure 5
Figure 5. Figure 5: 𝑟0 versus 𝑅𝑑 for simulated galaxies at 𝑧 = 0, divided into three groups, expanding (red dots), contracting (blue squares), and quasi-static galaxies (green diamonds), according to their evolutionary tracks on the plane. The gray line represents the fit derived in this work for observed galaxies. ulations exhibit markedly different trajectories and a larger scatter, indicating that baryonic processes signif… view at source ↗
Figure 4
Figure 4. Figure 4: The time evolution of three halos on the 𝑅𝑑 −𝑟0 relation from 𝑧 = 2 to 𝑧 = 0 where a fainter point indicates an earlier time. The plot shows an expansion of the 3.49 × 1011𝑀⊙ galaxy and a contraction of the 1.77 × 1012𝑀⊙ galaxy over time, while the third galaxy of mass 5.02 × 1011𝑀⊙ doesn’t follow either trend but remains scattered around the same region. Here, 𝜌0 denotes the central density, corresponding… view at source ↗
Figure 6
Figure 6. Figure 6: The dark matter core radius 𝑟0 versus the total dark matter halo mass of all galaxies at 𝑧 = 0. properties across the three classified groups. Our analysis indicates that stellar and halo mass are key drivers of the evolutionary di￾rection, as shown in [PITH_FULL_IMAGE:figures/full_fig_p006_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: The time evolution of three halos on the 𝑟0–dark matter halo mass plane from 𝑧 = 2 to 𝑧 = 0 comparing Hydro and DMO runs. The figure shows three representative cases: a contracting galaxy with halo mass 1.77 × 1012, 𝑀⊙ (upper panel); a quasi-static galaxy with mass 5.02 × 1011, 𝑀⊙ (mid panel); an expanding galaxy with mass 3.49 × 1011, 𝑀⊙ (lower panel). original NFW-like profile (Navarro 2000), showing no … view at source ↗
Figure 8
Figure 8. Figure 8: The stellar mass versus the total halo mass of all galaxies at 𝑧 = 0. 0 2 4 6 Median SFR [ M yr − 1 ] Expanding Contracting Quasi-static 0 2 4 6 8 10 12 14 Time [Gyr] 109 1010 Median DM Mass (r <4 kpc) [ M ] [PITH_FULL_IMAGE:figures/full_fig_p007_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: The top plot shows the median star formation rate over galaxies in each group according to how the galaxy evolves on the 𝑅𝑑 −𝑟0 relation, while the bottom plot shows the median dark matter mass within 4 kpc for each group. 108 109 1010 1011 10 12 Total Stellar Mass [M ] −2.00 −1.75 −1.50 −1.25 −1.00 −0.75 −0.50 −0.25 α (1 − 2%r/Rvir ) Model - Macci`o et al. (2020) Expanding Contracting Quasi-static [PITH_… view at source ↗
Figure 11
Figure 11. Figure 11: Cosmic evolution of the 𝑅𝑑 −𝑟0 relation from 𝑧 = 2 to 𝑧 = 0. The solid colored lines show the median relation at different redshifts (𝑧 = 0, 0.5, 1, 1.5, 2). The shaded bands represent the 1𝜎 credible regions from the Bayesian hierarchical model. The black points correspond to all NIHAO galaxies across all available snapshots between 𝑧 = 2 and 𝑧 = 0. The light gray dotted line shows the relation from Salu… view at source ↗
Figure 12
Figure 12. Figure 12: Posterior probability density functions (PDFs) for the normal￾ization (log 𝑟0,0, left) and slope (𝛼0, right) of the 𝑅𝑑 −𝑟0 relation at 𝑧 = 0. The colored curves show the marginalized PDFs, with dashed vertical lines marking the median values and shaded regions indicating the 1𝜎 (dark) and 2𝜎 (light) credible intervals. Black circles and horizontal error bars denote the observational estimates from Salucci… view at source ↗
Figure 13
Figure 13. Figure 13: Cartoon representation of the evolutionary pathways of galaxies in the 𝑅𝑑–𝑟0 plane and related quantities. The left panel illustrates the average evolutionary trajectories of “expanding” (red), “contracting” (blue), and “quasi-static” (green) galaxies, which follow distinct pathways but converge toward the same tight 𝑧 = 0 relation (orange line). The large teal arrow indicates the overall trend with galax… view at source ↗
read the original abstract

The tight empirical correlation linking the stellar disk scale length $R_d$ to the dark matter scale radius $r_0$ has been proposed as possible evidence for a fundamental coupling between baryons and dark matter beyond gravity. We re-examine the physical origin of this relation using a sample of 31 galaxies from the NIHAO cosmological hydrodynamical simulations, which include no dark matter-baryon interactions beyond gravity and baryonic feedback processes. NIHAO naturally reproduces both the normalization and the small scatter of the observed $R_d-r_0$ relation at $z=0$, while yielding a slightly shallower slope. By tracking galaxies from $z=2$ to $z=0$, we identify three distinct evolutionary classes: systems undergoing disk expansion, contraction, and quasi-static evolution. Using a Bayesian hierarchical framework, we provide the first characterization of the cosmic evolution of the $R_d-r_0$ relation, tracing the evolution of its normalization, slope, and intrinsic scatter from $z=2$ to the present day. We find a mild decrease in normalization ($\sim0.07$ dex), a flattening of the slope from $\alpha \simeq 1.05$ to $\alpha \simeq 0.95$, and a weak decline in the intrinsic scatter toward lower redshift, suggesting that galaxies evolve preferentially along the relation while jointly re-balancing their stellar and dark matter scales. By comparing hydrodynamical simulations with their dark-matter-only counterparts, we isolate the impact of baryons and baryonic feedback on halo structure. Our results show that stellar feedback alone can reshape the central potential and naturally establish the observed coupling between luminous and dark matter, without requiring modifications to the dark sector.

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

3 major / 2 minor

Summary. The manuscript uses a sample of 31 galaxies from the NIHAO cosmological hydrodynamical simulations (no dark matter-baryon interactions beyond gravity) to argue that stellar feedback alone reshapes the central potential and reproduces the observed tight Rd-r0 scaling relation at z=0, including normalization and small scatter (with a slightly shallower slope). By tracking galaxies from z=2 to z=0, the authors identify three evolutionary classes and employ a Bayesian hierarchical framework to characterize the mild redshift evolution of normalization, slope, and scatter, concluding that galaxies evolve preferentially along the relation and that no modifications to the dark sector are required.

Significance. If robust, the result would be significant for galaxy formation studies: it supplies a concrete baryonic mechanism for the Rd-r0 coupling via feedback-driven potential reshaping, supported by forward simulation rather than post-hoc fitting and by direct hydro versus DM-only contrasts. The evolutionary tracking and first characterization of the relation's cosmic evolution add value, as does the isolation of baryonic effects on halo structure.

major comments (3)
  1. [Methods] Methods section: NIHAO feedback efficiencies were previously tuned to reproduce the stellar mass function and other z=0 properties. Without resolution convergence tests or explicit variations in feedback strength, it remains possible that the reproduction of the Rd-r0 normalization, slope, and scatter is a consequence of this calibration rather than a generic outcome of stellar feedback. This directly affects the central claim that the coupling arises naturally without dark-sector modifications.
  2. [Results] Results (hydro vs. DM-only comparison): The manuscript states that hydro runs reproduce the relation while matched DM-only runs do not, but does not quantify the changes in central potential or density profile (e.g., via explicit profiles or potential depth metrics) that would demonstrate how feedback sets r0 to track Rd. This step is load-bearing for isolating the baryonic mechanism.
  3. [Evolutionary analysis] Evolutionary analysis (§ on tracking from z=2 to z=0): The Bayesian hierarchical fit reports a mild normalization decrease (~0.07 dex), slope flattening from α ≃ 1.05 to α ≃ 0.95, and weak scatter decline. The priors, likelihood construction, and robustness to sample selection within the 31-galaxy suite should be shown explicitly, as the evolutionary classes (expansion, contraction, quasi-static) rely on internal tracking that could be sensitive to the specific sub-grid implementation.
minor comments (2)
  1. [Abstract] Abstract and main text: The slope parameter α is introduced without an explicit equation (e.g., whether log Rd = α log r0 + const); adding this definition would improve clarity for readers.
  2. [Figures] Figures: Captions for the Rd-r0 plots should explicitly reference the observational sample used for comparison and indicate which points correspond to the three evolutionary classes.

Simulated Author's Rebuttal

3 responses · 1 unresolved

We thank the referee for their constructive and detailed comments, which have helped clarify several aspects of our analysis. We address each major comment point by point below. Revisions have been made to improve methodological transparency, add quantitative comparisons, and expand the evolutionary analysis where feasible. These changes strengthen the manuscript without altering its core conclusions regarding stellar feedback's role in the Rd-r0 relation.

read point-by-point responses
  1. Referee: [Methods] Methods section: NIHAO feedback efficiencies were previously tuned to reproduce the stellar mass function and other z=0 properties. Without resolution convergence tests or explicit variations in feedback strength, it remains possible that the reproduction of the Rd-r0 normalization, slope, and scatter is a consequence of this calibration rather than a generic outcome of stellar feedback. This directly affects the central claim that the coupling arises naturally without dark-sector modifications.

    Authors: We acknowledge that the NIHAO feedback parameters were calibrated to match the stellar mass function and other z=0 global properties, as detailed in the original NIHAO papers. However, the Rd-r0 relation was not a target of this calibration and emerges as an independent prediction. In the revised manuscript, we have added a dedicated paragraph in the Methods section emphasizing this distinction and noting that the relation holds across the diverse galaxy sample. We also reference prior NIHAO studies that performed resolution convergence tests for structural properties. While we cannot introduce new feedback variations or resolution tests in this work, the reproduction of the observed normalization and scatter with the standard setup supports our conclusion that stellar feedback can establish the coupling without dark-sector modifications. revision: partial

  2. Referee: [Results] Results (hydro vs. DM-only comparison): The manuscript states that hydro runs reproduce the relation while matched DM-only runs do not, but does not quantify the changes in central potential or density profile (e.g., via explicit profiles or potential depth metrics) that would demonstrate how feedback sets r0 to track Rd. This step is load-bearing for isolating the baryonic mechanism.

    Authors: We agree that explicit quantification of the central potential and density profile changes would strengthen the isolation of the baryonic mechanism. In the revised Results section, we now include direct comparisons of dark matter density profiles for matched hydrodynamical and DM-only runs at z=0. We additionally report metrics such as the central potential depth (evaluated at 0.1 r_vir) and show that feedback induces a shallower inner density slope, enabling r0 to adjust in tandem with Rd. These additions demonstrate how stellar feedback reshapes the halo to produce the observed coupling. revision: yes

  3. Referee: [Evolutionary analysis] Evolutionary analysis (§ on tracking from z=2 to z=0): The Bayesian hierarchical fit reports a mild normalization decrease (~0.07 dex), slope flattening from α ≃ 1.05 to α ≃ 0.95, and weak scatter decline. The priors, likelihood construction, and robustness to sample selection within the 31-galaxy suite should be shown explicitly, as the evolutionary classes (expansion, contraction, quasi-static) rely on internal tracking that could be sensitive to the specific sub-grid implementation.

    Authors: We have expanded the Evolutionary analysis section to explicitly document the Bayesian hierarchical model. This includes the priors (wide normal distributions for normalization and slope, half-normal for intrinsic scatter), the likelihood formulation (linear relation with redshift-dependent parameters and Gaussian scatter), and robustness checks via jackknife resampling of the 31-galaxy sample, which yields consistent evolutionary trends. The three evolutionary classes are now defined quantitatively based on the sign and magnitude of ΔRd and Δr0 from z=2 to z=0, with a supplementary table listing classifications for each galaxy. While some sensitivity to sub-grid physics is inherent to any simulation suite, our results are presented as specific to the NIHAO model. revision: yes

standing simulated objections not resolved
  • New simulations with explicit variations in feedback strength or additional resolution convergence tests tailored to the Rd-r0 relation cannot be performed within the scope of this revision, as they would require rerunning the full NIHAO suite.

Circularity Check

0 steps flagged

No circularity: forward simulations compared to external observations

full rationale

The paper performs forward cosmological hydrodynamical simulations in the NIHAO suite, evolves galaxies from z=2 to z=0, and directly compares the resulting Rd-r0 distribution to independent observational data. The central claim that stellar feedback reshapes the central potential is supported by the difference between hydro runs and matched DM-only runs, plus the match to external galaxy scaling relations. The Bayesian hierarchical fit is applied only to characterize evolution inside the simulated sample and does not redefine or fit the target relation parameters to the same data used to claim success. No step reduces the reported outcome to a fitted input or self-citation by construction.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The claim depends on the assumption that the chosen feedback implementation and galaxy sample faithfully represent real baryonic physics; no new particles or forces are introduced.

axioms (1)
  • domain assumption NIHAO simulations include standard baryonic feedback processes without additional dark-matter-baryon interactions beyond gravity
    Invoked to explain the emergence of the Rd-r0 relation from gravity plus feedback alone

pith-pipeline@v0.9.0 · 5854 in / 1223 out tokens · 42360 ms · 2026-05-20T15:48:59.552801+00:00 · methodology

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Reference graph

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