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Introducing the Phoebos simulation: galaxy properties at the dawn of galaxy formation

T0 review · 2 major / 7 minor · reviewed 2026-08-06 · deepseek-v4-flash

Pith's one-line read A 100 Mpc simulation with weak stellar feedback reproduces JWST-era galaxy counts, sizes, and star formation at z>8.

desk verdict Phoebos is a valuable new simulation resource and the weak-feedback baseline is worth taking seriously, but the size–mass slope claim rests on an unverified mass-independent offset assumption that needs addressing before that result is secure. read the letter →

arxiv 2507.04927 v1 pith:HBKWAFWI submitted 2025-07-07 astro-ph.GA astro-ph.CO

classification astro-ph.GAastro-ph.CO
keywords Phoebossimulationhigh-redshiftgalaxiesgalaxyformationstellarfeedbacksizesstarefficiencycosmicdawnJWST
open problems Dark Matter
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

The paper introduces Phoebos, a 100 Mpc cosmological hydrodynamical simulation built to test whether weak stellar feedback can explain the abundance and properties of massive galaxies seen by JWST at $z\gtrsim8$. At variance with most large-volume simulations, Phoebos uses non-equilibrium radiative cooling without an effective equation of state, and its stellar feedback is intentionally mild. The central claim is that this setup reproduces the observed stellar mass function, stellar-to-halo mass relation, size–mass slope, and specific star formation rate without any redshift-dependent calibration, supporting a picture of rapid, highly efficient star formation during cosmic dawn. The authors also report tentative signs that at lower redshift Phoebos overproduces cosmic star formation, suggesting feedback must strengthen with time.

What carries the argument

The central object is the Phoebos simulation itself: a [100 cMpc]^3 box with $2904^{3}$ dark-matter and $1944^{3}$ gas particles, with dark-matter and gas particle masses of $1.360\times10^6\,M_\odot$ and $8.473\times10^5\,M_\odot$, run with a smoothed-particle hydrodynamics code using a Wendland C4 kernel, non-equilibrium primordial cooling with self-shielding, tabulated metal-line cooling, no pressure floor, and stochastic star formation at a density threshold of $1.0\,m_p\,\mathrm{cm^{-3}}$ and efficiency 0.1. The feedback recipe is a blastwave supernova model whose energy injection is weak in the dense, rapidly cooling gas of $z\gtrsim8$ galaxies, because the cooling and dynamical times are shorter than the typical timescale between supernova explosions. That short-timescale argument, rather than a tuning to high-redshift data, is the load-bearing mechanism that lets Phoebos form galaxies fast enough to match JWST observations.

What would settle it

Forward-model the Phoebos galaxies at z~8 into mock JWST images, fit effective radii from the light, and compare the resulting size–mass relation with the observed one without any free shift of the y-intercept; if the slope or normalization still disagrees, the central claim of reproducing the observed size–mass relation is not established.

Watch

Extended reading notes

Core claim

Phoebos is claimed to reproduce, at $z\gtrsim8$ and without any redshift-dependent calibration, the observed stellar mass function, the stellar-to-halo mass relation, the slope of the stellar size–mass relation, and the specific star formation rate distribution. At $z\sim12$ it matches the highest-redshift stellar-to-halo mass constraints better than other current simulations, while at $z\sim8$ its stellar mass function and star formation rates sit within the observational scatter. After accounting for a ~25 per cent offset between half-light and half-mass radii and for resolution-driven size inflation, the slope of the simulated size–mass relation tracks the observed one up to stellar masses around $10^{9.5}\,M_\odot$, in contrast to a strong-feedback comparison simulation. The paper interprets this as evidence that early galaxy growth happens in a weak-feedback regime where gas cools and collapses faster than supernova feedback can respond, making star formation highly efficient.

Load-bearing premise

The comparison assumes that the difference between observed effective radii and simulated half-mass radii is dominated by a mass-independent offset of about 25 per cent plus resolution-driven size inflation, so that after shifting the observed relation's zero-point the slopes can be compared; if the offset varies with mass or is partly physical, the claimed size–mass slope match does not follow.

Editorial extensions

If this is right

  • The abundant massive galaxies JWST finds at $z\gtrsim10$ can be understood within standard structure formation as the product of highly efficient star formation, without requiring modified cosmology or exotic accretion physics.
  • Once galaxy sizes are defined consistently, early galaxies grow in radius with stellar mass along the observed slope, with the overall normalization set by the half-light/half-mass offset and resolution inflation.
  • Galaxies at $z\gtrsim8$ assemble their stellar mass on timescales shorter than the Hubble time, so rapid assembly is the rule rather than the exception during cosmic dawn.
  • The predicted excess of cosmic star formation at lower redshift implies that the weak-feedback regime must be temporary, with feedback becoming stronger at later epochs.
  • Resolving the multi-phase interstellar medium with non-equilibrium cooling appears to be at least as important as the strength of stellar feedback for producing the high-redshift galaxy population.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • A direct test of the size claim would be to forward-model Phoebos galaxies into mock JWST images and measure effective radii from the light, rather than assuming a mass-independent 25 per cent offset; if the slope changes when the shift is fitted freely, the match would not survive.
  • The redshift-dependent feedback transition implied by the star-formation excess could be checked by running Phoebos to $z=0$ and comparing its stellar mass function with the local one; a large overprediction would confirm that a stronger low-redshift feedback mode is needed.
  • The weak-feedback, fast-assembly scenario predicts low outflow mass loading and possibly high escape fractions of ionizing radiation from $z\gtrsim8$ galaxies, which future 21-cm reionization observations and JWST/NIRSpec metallicity measurements could test.
  • If feedback effectiveness is as environment- and redshift-dependent as this simulation suggests, simulations calibrated mainly to the local universe may systematically mispredict the earliest galaxies, and the slope of the stellar mass function at $z\gtrsim12$ becomes a sharp discriminator.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

2 major / 7 minor

Summary. The paper introduces Phoebos, a [100 cMpc]^3 cosmological hydrodynamical simulation with particle masses mDM=1.360e6 Msun and mgas=8.473e5 Msun, designed to study galaxy formation at z~8-12. It uses ChaNGa with multi-phase, non-equilibrium cooling, stochastic star formation with epsilon_SF=0.1, and blastwave supernova feedback, deliberately avoiding an effective equation of state and AGN feedback. The authors compare the simulation with JWST-era observations of the stellar mass function, stellar-to-halo mass relation, cosmic star formation rate density, star-forming main sequence, specific star formation rate, stellar size-mass relation, and HI fractions. They report good agreement for the stellar mass function, SHMR, and sSFR, claim recovery of the observed size-mass slope, and interpret the results as evidence for highly efficient star formation with only weak stellar feedback at z>8. Lower-resolution runs are used for halo-mass-function convergence, and the paper discusses limitations including SFRD overprediction and the need for stronger feedback at lower redshifts.

Significance. If the main claims hold, Phoebos would be a valuable resource: a large-volume simulation that reproduces several independent high-redshift observables without redshift-dependent recalibration, thereby supporting the emerging picture of a weak-feedback, efficient star-formation regime at cosmic dawn. The paper is honest about several discrepancies (e.g., SFRD relative to Bouwens et al. 2023, SHMR relative to Paquereau et al. 2025, the HI fraction drop) and provides convergence checks for halo mass functions. The central interpretive claim, however, partly rests on the size-mass slope comparison, whose validity currently depends on an unverified assumption about a mass-independent offset between simulated half-mass radii and observed effective radii. The no-tuning claim is also complicated by a redshift-dependent cooling floor unique to the Phoebos run. These issues are addressable but must be resolved before the paper's headline conclusions can be fully accepted.

major comments (2)
  1. [§3.1, Fig. 6; also Abstract and §4] The claim that Phoebos 'recovers the observed slope' of the stellar size-mass relation is established by shifting the y-intercept of the Yang et al. (2025) relation (the 'loosely dotted line' in Fig. 6) to align with the simulated half-mass radii. The shift is justified by a mass-independent ~25 per cent half-light-to-half-mass offset plus resolution-driven puffing, but the Phoebos softening is fixed at 0.300 kpc physical for z<9 (Table 1), while the simulated radii in Fig. 6 span roughly 0.1-1 kpc. A fixed softening should inflate the smallest, lowest-mass galaxies proportionally more than the largest ones, making the net offset mass-dependent unless shown otherwise. The GigaEris and MassiveBlackPS points have different softening and resolution and do not constitute a Phoebos resolution sequence for stellar sizes; the PhoebosLR/ULR runs in Appendix A are used only for halo mass functions. Because this is one of the headline successes listed in the abstract, I ask the authors to quantify the mass dependence of the resolution offset (e.g., from a size resolution sequence or from high-resolution zooms of representative Phoebos systems) or to compare mock-observed effective radii before claiming slope recovery.
  2. [§2, footnote 6; §4] Section 4 states that Phoebos succeeds 'without any redshift-dependent calibration or tuning to high-redshift data.' However, Section 2 reports that the Phoebos run uses a cooling temperature floor of 300 K up to z~10, whereas PhoebosLR and PhoebosULR use a floor of 10 K. This is a redshift-dependent modification specific to the main run, and its effect on the z>8 star formation histories, stellar masses, and sizes is not discussed. Please either demonstrate robustness of the headline results to this floor or qualify the no-tuning claim accordingly.
minor comments (7)
  1. [§2, Table 1 and Fig. 2] There is a missing space in 'smoothed-particlehydrodynamics code ChaNGa', and the axis labels use 'M' where 'M☉' would be clearer.
  2. [§3.1, footnote 8] Footnote 8 is grammatically incomplete: 'For a more detailed discussion see e.g. Kravtsov (2013) and Szomoru et al. (2013), the half-light radius...' should be rewritten as one or more complete sentences.
  3. [§3.1] There are typos: 'the radii within Phoebos should be seen considered as an upper limit' and 'Similary, the haloes at z = 12'; please correct both.
  4. [§3.3.1] In the sentence 'especially at = 12, Thesan-Zoom and Phoebos...' the variable z is missing; it should read 'especially at z = 12'.
  5. [§4] The phrase 'treatment of of a relatively weak stellar feedback' contains a duplicated 'of'.
  6. [Figure 1 caption] The caption spells 'MilleniumTNG'; it should be 'MillenniumTNG'.
  7. [§3.4 and Appendix A2] The text says the origin of the HI drop 'will explore potential explanations in subsequent sections,' but the subsequent discussion is brief and confined to Appendix A2; please either expand the discussion or adjust the forward reference.

Circularity Check

0 steps flagged · score 0.0 of 10

No circular derivation: Phoebos outputs are compared to external data with no high-redshift tuning; the y-intercept shift in the size–mass plot is a comparison convention, not a fitted prediction.

full rationale

Phoebos is a forward simulation with subgrid parameters stated as inherited from earlier, lower-redshift work (Romulus25, Stinson et al.) rather than tuned to the z>8 observables it is compared against. The headline comparisons—stellar mass function, stellar-to-halo mass relation, sSFR, and SFRD—are raw simulation outputs confronted with external observational datasets; no quantity entering those comparisons is fitted to the data being reproduced. The only adjustable-looking element is the size–mass comparison in Fig. 6, where the Yang et al. relation is shown with a modified y-intercept to better align with the simulated half-mass radii. This is a post-processing comparison convention, not a model parameter, and the slope being claimed is unaffected by a constant offset, so the slope comparison is not forced by construction. The GigaEris and MassiveBlackPS citations are self-citations, but they are invoked as higher-resolution simulations sharing the same feedback implementation, providing supporting evidence for a resolution-driven offset; the central SMF, SHMR, and sSFR claims do not depend on them. A possible mass dependence of the fixed-softening size inflation is a physical and measurement concern, not a circularity. No step in the paper defines a predicted quantity in terms of the fitted data or reduces a prediction to a fit.

Assumptions & free parameters 5 free parameters · 4 assumptions · 0 invented entities

The ledger shows no invented physical entities. The simulation's novel content is carried by subgrid parameters (epsilon_SF, density threshold, cooling floor, softening, supernova energy coupling) inherited from prior ChaNGa and Romulus work, plus modeling assumptions about cooling tables and neglected feedback. The most fragile entries are the assumptions that neglected feedback channels (photoionization, radiation pressure, AGN) are unimportant at z > 8 and that the size offset is purely resolution and definition driven, both acknowledged by the authors.

free parameters (5)
  • star formation efficiency epsilon_SF = 0.1
    Sets the rate at which cold dense gas is converted to stars (dM*/dt = epsilon_SF Mgas/tdyn) in Section 2. Inherited from earlier Romulus/Stinson calibrations, not tuned to z > 8, but directly controls the stellar mass assembly rate that the paper argues is high.
  • star formation density threshold n_th = 1.0 proton cm^-3 (Phoebos); 0.1 proton cm^-3 (LR and ULR)
    Gas must be colder than 3e4 K and denser than this threshold to form stars. The threshold is resolution-dependent and affects where stars form, hence galaxy sizes and mass functions (Section 2).
  • cooling temperature floor = 300 K up to z ~ 10 in Phoebos; 10 K in LR and ULR
    Footnote 6: the main Phoebos run uses a 300 K floor at early times while lower-resolution runs use 10 K. Suppressing cooling below 300 K can alter gas fragmentation and star formation; a numerical choice with physical consequences.
  • gravitational softening epsilon = 0.300 kpc for z < 9; 3/(1+z) kpc for z >= 9
    Resolution scale (Section 2, Table 1). The paper argues, citing Bate and Burkert (1997), that insufficiently small smoothing relative to softening inflates galaxy sizes, so this parameter directly affects the size comparisons in Figures 6 and 7.
  • Type II supernova thermal energy injection = 1e51 erg per supernova
    Injected as thermal energy with radiative cooling disabled during the blastwave shell survival time (Stinson et al. 2006, Section 2). The effective coupling in high-density gas determines how weak the feedback is, which is the central physical ingredient.
assumptions (4)
  • domain assumption Lambda-CDM cosmology with Planck 2018 parameters (Omega_m = 0.3111, Omega_L = 0.6889, Omega_b = 0.0490, h = 0.6766, ns = 0.9665, sigma8 = 0.8102)
    Used to build initial conditions with music2 (Section 2). All conclusions about halo abundances and galaxy properties are conditional on this cosmology.
  • domain assumption Haardt and Madau (2012) UV background and Cloudy cooling tables (Shen et al. 2010, 2013) accurately describe cooling and heating, with metal cooling in photo-ionization equilibrium and no self-shielding
    The cooling model is central to the multiphase ISM the paper highlights; the non-equilibrium treatment is applied only to primordial species (Section 2).
  • ad hoc to paper Stochastic subgrid star formation with a Kroupa IMF and blastwave supernova feedback, without photoionizing radiation, radiation pressure, or AGN feedback, is an adequate description of unresolved stellar feedback at z > 8
    The paper's central interpretation, that weak feedback permits rapid assembly, assumes the neglected feedback channels are unimportant at z > 8. Section 4 explicitly calls for radiative transfer calculations to test this.
  • ad hoc to paper The offset between simulated half-mass radii and observed effective radii is dominated by the roughly 25 percent half-light to half-mass offset plus resolution-driven size inflation, and is approximately mass-independent
    Used to shift the observed Yang et al. (2025) relation's y-intercept and then claim slope agreement (Section 3.1, Figure 6). Supported qualitatively by GigaEris and MassiveBlackPS, but not by a converged resolution series of stellar sizes in Phoebos itself.

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Pith. "Pith review of Introducing the Phoebos simulation: galaxy properties at the dawn of galaxy formation." pith.science (2026). https://pith.science/paper/HBKWAFWI

@misc{pith2026250704927,
  author       = {Pith},
  title        = {Pith review of: Introducing the Phoebos simulation: galaxy properties at the dawn of galaxy formation},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/HBKWAFWI}},
  note         = {Machine review of arXiv:2507.04927}
}
abstract

The James Webb Space Telescope (JWST) now allows us to observe galaxies at the end of cosmic dawn ($z \sim 10-15$) with unprecedented detail, revealing their morphologies, sizes, and internal structures. These observations offer crucial insights into the physical processes driving early galaxy formation. In this work, we introduce the Phoebos hydrodynamical cosmological simulation, a state-of-the-art 100 Mpc volume designed to study the formation and evolution of galaxies at the end of cosmic dawn and into the epoch of reionization. Phoebos includes a stellar feedback model that is intentionally weak, in order to address the high abundance of massive galaxies seen by JWST at early epochs. At variance with most large cosmological hydrodynamical simulations, we do not employ an effective equation of state model, instead our radiative cooling model allows us to capture the multi-phase nature of the gas inside and around galaxies. Phoebos reproduces key observables of early galaxy formation at $z \gtrsim 8$, including the stellar mass function and the stellar-to-halo mass relation. It also recovers the observed slope of the stellar size-to-mass relation and matches the specific star formation rate remarkably well. These results suggest that highly efficient star formation in the presence of only mild regulation from stellar feedback, drives early galaxy growth, supporting a scenario of rapid stellar mass assembly during cosmic dawn. There are indications in the cosmic star formation density that, at lower redshifts, Phoebos might overpredict the stellar mass within the systems, suggesting that a transition to a stronger stellar feedback may be necessary to reproduce later-time observations. These results highlight the potential of Phoebos to interpret JWST observations and to probe the evolving physical processes that shape galaxy formation.

Figures

Figures reproduced from arXiv: 2507.04927 by the authors.

Figure 1
Figure 1. Baryonic mass resolution and box size for several cosmo￾logical hydrodynamical simulations from the recent literature: Il￾lustris (e.g. Sijacki et al. 2015), Magneticum (Hirschmann et al. 2014), Eagle (Schaye et al. 2015), Romulus25 (Tremmel et al. 2017), MUFASA (Davé et al. 2016), FABLE (Henden et al. 2018), Simba100 (Davé et al. 2019), FIREbox (Feldmann et al. 2023), MilleniumTNG (e.g. Hernández-Aguayo et al. 2023… view at source ↗
Figure 2
Figure 2. General properties of the Phoebos simulation. The top-left panel shows the temporal evolution of the cosmic SFRD, whereas all other panels show quantities at z = 8: the galaxy stellar mass function (top-centre panel), the total halo mass function (top-right panel), the sizes of galaxies as a function of stellar mass (bottom-left panel), the gas fraction of haloes as a function of the total halo mass, with the gray d… view at source ↗
Figure 3
Figure 3. Spin parameter distribution of our simulated galaxies at z = 8. The black dashed line indicates the peak of the distribution, which is consistent with the expected value from Bullock et al. (2001), shown for comparison as the black dotted line. Universe [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figures from the paper (12 more)
Figure 4
Figure 4. Figure 4: Total halo mass (top panel) and stellar mass (bottom panel) functions of the Phoebos simulation across different red￾shifts: z = 8 (orange solid line), 10 (brown dashed line), and 12 (red dotted line). The bottom panel also shows the observed stellar mass function from…
Figure 5
Figure 5. Figure 5: Evolution of stellar properties from z = 12 to z = 8. The top panels correspond to z = 8, whereas the bottom panels represent z = 12. The left-hand panels show histograms of the stellar half-mass radius. The right-hand panels present the stellar mass distributions. The…
Figure 6
Figure 6. Figure 6: Stellar size–mass relation at z = 8 and 12, defined be￾tween the stellar half-mass radius and the stellar mass enclosed within twice that radius. The open circles and error bars repre￾sent the median and 1σ scatter of halo sizes from Phoebos. These results are compared…
Figure 7
Figure 7. Figure 7: Stellar density evolution of the stellar component within haloes from z = 12 to z = 8. The top panel shows the correla￾tion between the stellar half-mass radius and the stellar surface density, ΣM⋆ . Simulation results are compared with observational constraints from M…
Figure 8
Figure 8. Figure 8: The stellar-to-halo mass relation (SHMR; orange solid line) and associated 1σ scatter (orange-shaded region) for galaxies in the Phoebos simulation at z = 8 (left-hand panel), z = 10 (middle panel), and z = 12 (right-hand panel). Observational constraints are overlaid …
Figure 9
Figure 9. Figure 9: Surface density maps showing the evolution of a massive halo from z ∼ 12 and z ∼ 8 in the Phoebos simulation. Rows show from top to bottom: DM surface density, gas surface density, and stellar surface density overlaid on the same gas map of the second row. The halo sho…
Figure 11
Figure 11. Figure 11: The SFR within the virial radius of the massive halo depicted in Figures 9 and 10. The vertical dashed lines mark the redshifts corresponding to the snapshots presented in the surface density maps of the same figures. For comparison, light orange lines in the backgrou…
Figure 10
Figure 10. Figure 10: Zoom in of the gas surface density maps showing the evolution of the massive halo from z ∼ 12 and z ∼ 8 of [PITH_FULL_IMAGE:figures/full_fig_p012_10.png]
Figure 12
Figure 12. Figure 12: The SF main sequence of galaxies in Phoebos at z = 8, 10, and 12, from left to right, shown by the orange hexagrams. The gray diamonds correspond to observations in the redshift range 7.5 ≲ z ≲ 8.5, 9.5 ≲ z ≲ 10.5, and 11.5 ≲ z ≲ 12.5 found by Morishita et al. (2024).…
Figure 13
Figure 13. Figure 13: The normalized sSFR distribution at z = 8, 10 and 12 from top to bottom. The gray lines indicate the observed sSFR distribution in the redshift range 7.5 ≲ z ≲ 8.5, 9.5 ≲ z ≲ 10.5 and 11.5 ≲ z ≲ 12.5 by Morishita et al. (2024). The blue vertical dashed line in each pa…
Figure 14
Figure 14. Figure 14: Gas volume density (left-hand panels) and HI volume density (right-hand panels) maps at z = 8, shown alongside the stellar density distribution. The top panels display the full stellar population, while the bottom panels focus on the subset of young stars with ages < …
Figure 15
Figure 15. Figure 15: The stellar mass-HI gas fraction relation at z = 8. The open circles and error bars represent the median and 1σ scat￾ter of the HI gas fraction of galaxies in Phoebos. These results are compared to observational data from Scholte et al. (2024) for local galaxies with …

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