REVIEW 2 major objections 7 minor 196 references
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 →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
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.
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
- 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.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
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)
- [§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, 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)
- [§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.
- [§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.
- [§3.1] 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.
- [§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'.
- [§4] The phrase 'treatment of of a relatively weak stellar feedback' contains a duplicated 'of'.
- [Figure 1 caption] The caption spells 'MilleniumTNG'; it should be 'MillenniumTNG'.
- [§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
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
free parameters (5)
- star formation efficiency epsilon_SF =
0.1
- star formation density threshold n_th =
1.0 proton cm^-3 (Phoebos); 0.1 proton cm^-3 (LR and ULR)
- cooling temperature floor =
300 K up to z ~ 10 in Phoebos; 10 K in LR and ULR
- gravitational softening epsilon =
0.300 kpc for z < 9; 3/(1+z) kpc for z >= 9
- Type II supernova thermal energy injection =
1e51 erg per supernova
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)
- 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
- 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
- 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
Cite this review
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 from the paper (12 more)
Reference graph
Works this paper leans on
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