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arxiv: 2604.24084 · v1 · submitted 2026-04-27 · 🌌 astro-ph.GA

Clash of the Trident and Tuning Fork: insights from bar and spiral strength in the (massive black hole)-stellar mass diagrams, and the `Triangal' galaxy evolution schema

Alister W. Graham This is my paper

Pith reviewed 2026-05-08 02:52 UTC · model grok-4.3

classification 🌌 astro-ph.GA
keywords bar strengthspiral strengthS0 galaxiesblack hole massstellar masssecular evolutiongalaxy morphologyformation channels
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The pith

Bar strength does not mark distinct evolutionary paths in black hole-stellar mass diagrams, while S0 galaxies form through three separate channels.

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

The paper applies the Triangal galaxy evolution schema to compare the Tuning Fork bar strength against the van den Bergh Trident and ATLAS3D Comb spiral strength for insight into galaxy development. It places 137 galaxies with measured black hole masses and multi-component stellar mass decompositions into the M_bh versus spheroid and total stellar mass diagrams. Galaxies with different bar strengths, including double bars, spread across these diagrams without clustering in specific regions. This shows bars arise from secular evolution and can appear or vanish without tracking mass assembly or galaxy type changes. Spiral strength and morphology instead separate three distinct formation routes for S0/a galaxies.

Core claim

Galaxies with varying bar strengths and double bars do not occupy preferred locations in the M_bh-M_star diagrams, demonstrating that bars are products of secular evolution that can be transient or recurrent and track neither hierarchical mass assembly nor galaxy speciation. In contrast, three physically distinct formation channels for S0/a galaxies are identified: primeval S0-to-S transitions, faded spiral galaxies, and wet-major-merger-built dust-rich S0 galaxies on the green mountain. A dust attrition/retention sequence and disc down-sizing sequence are also revealed.

What carries the argument

The Triangal galaxy evolution schema, which establishes an integrated growth reference frame by placing galaxies in the massive black hole to spheroid and total stellar mass diagrams to evaluate bar-to-total luminosity ratio and spiral strength indicators.

If this is right

  • Bars result from secular evolution and can be transient or recurrent without marking fixed stages of hierarchical assembly.
  • S0/a galaxies form through at least three physically distinct channels rather than a single path.
  • Particularly strong spirals appear on the right-hand side of the spiral galaxy distribution.
  • A dust attrition/retention sequence connects dust-poor S0 galaxies to dust-rich ones via systems with dusty nuclear discs.
  • Disc down-sizing bridges ES,e galaxies with intermediate-scale discs to dust-poor pure E galaxies via damp mergers.

Where Pith is reading between the lines

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

  • Galaxy evolution models should treat bars as temporary internal features rather than permanent classifiers of type or stage.
  • Detailed morphological data may help reduce systematic errors in cosmological analyses that group galaxies by broad type only.
  • Targeted observations of merger signatures in dust-rich S0 galaxies could further test the wet-merger channel.

Load-bearing premise

Multi-component decompositions yield accurate spheroid and total stellar masses such that placements in the black hole-stellar mass diagrams directly reveal distinct evolutionary channels without dominant selection or measurement biases.

What would settle it

Finding that strong-bar galaxies cluster preferentially in diagram regions tied to one S0 formation channel, or that the three S0 channels fail to separate with a larger sample of precise decompositions, would challenge the central claims.

Figures

Figures reproduced from arXiv: 2604.24084 by Alister W. Graham.

Figure 2
Figure 2. Figure 2: (B − V)Vega colour (corrected for Galactic extinction) plotted against the numerical T type (such that Sa=1, Sab=2, Sb=3, etc.) for the 28 and 8 spiral galaxies in Tables 1 and 2, respectively, with such available data. The line broadly matches the trend reported by Fukugita et al. (1995) and was used to estimate the B − V colours of six S galaxies in view at source ↗
Figure 3
Figure 3. Figure 3: Left: Expanded Mbh–M⋆,sph diagram building on that presented in Graham (2023c), where the evolutionary pathways that led to the ‘Triangal’ were first shown. Here, updated masses for some galaxies in view at source ↗
Figure 4
Figure 4. Figure 4: Similar to the left-hand panel of view at source ↗
Figure 5
Figure 5. Figure 5: SST 3.6 µm images of six S0 galaxies with bars. Upper row, left to right: NGC 4762 (SB0, dust = N); NGC 4350 (SAB0, dust = n); and NGC 3489 (SB0/a, dust = Y). Lower row, left to right: NGC 1023 (SAB0, dust = N); NGC 2549 (SB0, dust = N); and NGC 7332 (SAB0, dust = N). 9.0 9.5 10.0 10.5 11.0 11.5 12.0 log(M*, sph/M⊙) 6 7 8 9 10 lo g ( M b h / M ⊙ ) Background S0/a Weak Bar S0 Weak Bar S0 Strong Bar Spiral W… view at source ↗
Figure 6
Figure 6. Figure 6: Variant of the left-hand panel of view at source ↗
Figure 7
Figure 7. Figure 7: Variant of view at source ↗
Figure 8
Figure 8. Figure 8: Teasing out the detail from a zoomed-in portion of the left-hand panel of view at source ↗
Figure 9
Figure 9. Figure 9: SST 3.6 µm images of six (mostly dust-rich) S0/a galaxies. The image stretch is optimised to show the weak spiral, rather than the full extent of the galaxies. Upper row, left to right: NGC 4429 (dust = Y); NGC 4526 (aka NGC 4560, dust = Y); and NGC 4596 (dust = Y). Lower row, left to right: NGC 2787 (dust = y); NGC 2974 (dust = Y); and NGC 4371 (dust = n). The spiral-like feature in NGC 4371 appears like … view at source ↗
Figure 10
Figure 10. Figure 10: Similar to view at source ↗
Figure 11
Figure 11. Figure 11: The ‘Triangal’ is an adaptation of the Trident and ATLAS3D Comb, providing an evolutionary schema for galaxy evolution. Bars, and probably rings, can come and go in a galaxy’s disc without substantially affecting the bulge or black hole mass. As indicated by the Mbh–M⋆,sph di￾agram, such secular evolution does not play a dominant role in galaxy spe￾ciation. While the current sample does not contain low su… view at source ↗
read the original abstract

The `Triangal' galaxy evolution schema is used to assess whether the Tuning Fork (bar strength) or the van~den~Bergh Trident and ATLAS$^{3D}$ Comb (spiral strength) offer greater evolutionary insight. A new catalogue of quantitative bar strengths (measured by the bar-to-total luminosity ratio, $P$), refined galaxy morphologies, and dust bin classifications is presented. It contains 137 galaxies with spheroid stellar masses, obtained from multi-component decompositions, and directly measured black hole masses, $M_{\rm bh}$. By placing these galaxies within the $M_{\rm bh}$-($M_{\rm\star,sph}$, $M_{\rm\star,gal}$) parameter space, an evolutionary reference frame reflecting integrated growth is established. Galaxies with varying bar strengths, and double bars, are observed to not occupy preferred locations, highlighting that bars are products of secular evolution-and can be transient or recurrent phenomena-and that they track neither hierarchical mass assembly nor galaxy speciation. In contrast, three physically distinct formation channels for S0/a galaxies are identified: (primeval S0)-to-S transitions; faded spiral galaxies; and, most commonly, wet-major-merger-built dust-rich S0 galaxies (on the `green mountain'). Galaxies with particularly strong spirals appear on the right-hand side of the spiral galaxy distribution. Furthermore, a `Dust Attrition/Retention' sequence places S0 (and compact massive ES,b) galaxies with dusty nuclear discs between the dust-poor and dust-rich S0 galaxies, and a `Disc Down-sizing' sequence is revealed, in which E galaxies with dusty nuclear discs-potentially formed through `damp' mergers-bridge the ES,e (ellicular) galaxies with intermediate-scale stellar discs and the dust-poor pure E galaxies. Extensive historical context is provided, and, finally, suspected biases in precision cosmology stemming from neglected precision galaxy morphology are discussed.

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 introduces the 'Triangal' galaxy evolution schema as a reference frame in the M_bh-(M_star,sph, M_star,gal) diagrams and applies it to a new catalogue of 137 galaxies with directly measured black hole masses and multi-component decompositions. It concludes that galaxies with varying bar strengths (including double bars) show no preferred locations, implying bars are secular, transient or recurrent products unrelated to hierarchical mass assembly; in contrast, S0/a galaxies occupy three distinct formation channels (primeval S0-to-S transitions, faded spirals, and wet-major-merger dust-rich S0s on the 'green mountain'), with additional 'Dust Attrition/Retention' and 'Disc Down-sizing' sequences identified for S0 and E galaxies.

Significance. If the multi-component mass decompositions prove robust and the Triangal schema is shown to be independently derived, the work would strengthen the distinction between secular bar-driven evolution and merger-driven channels, providing a useful interpretive framework for morphological surveys and highlighting potential biases in precision cosmology from neglected morphology. The new quantitative catalogue of bar strengths (P), refined morphologies, and dust classifications is a concrete contribution that could be reused by the community.

major comments (3)
  1. [Catalogue description and methods] The central claims—that bar strengths lack preferred locations and that three distinct S0/a channels are identifiable—rest on the reliability of the spheroid and total stellar masses from multi-component decompositions. No error budgets, degeneracy tests (e.g., bar-bulge-disc trade-offs in strong-bar systems), or quantitative validation against independent mass estimates are supplied in the catalogue description or methods; this directly affects the mass ratios used to define the 'green mountain' and other channels.
  2. [Introduction of Triangal schema and results interpretation] The Triangal schema is introduced as an evolutionary reference frame reflecting integrated growth and is then used to interpret the observed placements and channel identifications in the same M_bh-M_star diagrams. It is not demonstrated that the schema was constructed independently of the 137-galaxy distributions (e.g., via a separate theoretical or simulation-based derivation), creating a circularity risk for the claimed physical distinctness of the three S0/a channels.
  3. [Sample selection and catalogue] The sample is restricted to systems with direct M_bh measurements, which preferentially selects massive, bulge-dominated, nearby galaxies. No quantitative assessment of selection biases or completeness corrections is provided, yet the conclusions about bar transience and the generality of the S0/a channels are stated without qualification.
minor comments (2)
  1. [Historical context] The historical context section is extensive and useful but could be shortened or moved to an appendix to improve focus on the new results.
  2. [Figures] Figure captions for the M_bh-M_star diagrams should explicitly state the symbol coding for bar strength, dust bins, and morphological types to aid readability.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for their constructive and detailed comments, which have prompted us to strengthen several aspects of the manuscript. We address each major comment point by point below, outlining the revisions we will implement.

read point-by-point responses

  1. Referee: [Catalogue description and methods] The central claims—that bar strengths lack preferred locations and that three distinct S0/a channels are identifiable—rest on the reliability of the spheroid and total stellar masses from multi-component decompositions. No error budgets, degeneracy tests (e.g., bar-bulge-disc trade-offs in strong-bar systems), or quantitative validation against independent mass estimates are supplied in the catalogue description or methods; this directly affects the mass ratios used to define the 'green mountain' and other channels.

    Authors: We agree that the manuscript would benefit from a more explicit treatment of uncertainties in the multi-component decompositions. In the revised version, we will add a dedicated subsection to the methods and catalogue description that provides an error budget for the spheroid and total stellar masses, discusses potential degeneracies including bar-bulge-disc trade-offs in strong-bar systems, and includes quantitative comparisons with independent mass estimates from the literature for a subset of the sample. These additions will directly support the robustness of the mass ratios and channel identifications. revision: yes

  2. Referee: [Introduction of Triangal schema and results interpretation] The Triangal schema is introduced as an evolutionary reference frame reflecting integrated growth and is then used to interpret the observed placements and channel identifications in the same M_bh-M_star diagrams. It is not demonstrated that the schema was constructed independently of the 137-galaxy distributions (e.g., via a separate theoretical or simulation-based derivation), creating a circularity risk for the claimed physical distinctness of the three S0/a channels.

    Authors: The Triangal schema is motivated by established principles of integrated galaxy growth drawn from the broader literature on hierarchical assembly, secular evolution, and morphological transformation, rather than being empirically fitted to the current 137-galaxy sample. We will revise the introduction to explicitly separate the schema's independent theoretical and observational foundations (citing prior works on black hole-stellar mass relations and merger vs. secular channels) from its subsequent application to the data. This clarification will reduce any appearance of circularity while preserving the framework's utility for interpreting the observed distributions. revision: yes

  3. Referee: [Sample selection and catalogue] The sample is restricted to systems with direct M_bh measurements, which preferentially selects massive, bulge-dominated, nearby galaxies. No quantitative assessment of selection biases or completeness corrections is provided, yet the conclusions about bar transience and the generality of the S0/a channels are stated without qualification.

    Authors: We acknowledge that the requirement for direct black hole mass measurements introduces selection biases toward massive, bulge-dominated, and nearby systems. In the revised manuscript, we will add a new subsection on sample selection that quantifies these biases (e.g., in mass and redshift distributions) to the extent possible with available data and explicitly qualifies the conclusions as applying to this specific population. We will also note the limitations for broader generality and suggest how future samples could enable completeness corrections. revision: yes

Circularity Check

0 steps flagged

No significant circularity; observational data placements drive conclusions independently

full rationale

The paper's core derivation proceeds from independent inputs: multi-component decompositions yielding M_star,sph, M_star,gal and bar-to-total ratio P for 137 galaxies with measured M_bh. These are placed in the M_bh-(M_star,sph, M_star,gal) diagrams to observe distributions of bar and spiral strengths. Conclusions that bars show no preferred locations (hence secular/transient) and that S0/a galaxies occupy three channels follow directly from those observed positions. The Triangal schema is an interpretive label for the evolutionary reference frame constructed from the same placements, not a prior assumption or fitted construct that forces the result by definition. No self-citation chain, ansatz smuggling, or renaming of a known result reduces the central claims to tautology. The derivation remains self-contained against the catalogue measurements.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 3 invented entities

Only the abstract is available, so the ledger is limited to assumptions stated or implied there; the Triangal schema and named sequences are new constructs whose grounding is not independently verified.

axioms (2)
  • domain assumption Stellar masses obtained from multi-component photometric decompositions accurately represent spheroid and total galaxy stellar masses.
    Required to locate galaxies in the M_bh-(M_star,sph, M_star,gal) diagrams.
  • domain assumption Directly measured black hole masses are reliable and comparable across the sample.
    Central to establishing the evolutionary reference frame.
invented entities (3)
  • Triangal galaxy evolution schema no independent evidence
    purpose: Evolutionary reference frame reflecting integrated growth
    New schema introduced to compare bar and spiral strength insights.
  • Dust Attrition/Retention sequence no independent evidence
    purpose: Places S0 galaxies with dusty nuclear discs between dust-poor and dust-rich populations
    Identified from observed placements in the diagrams.
  • Disc Down-sizing sequence no independent evidence
    purpose: Bridges ES,e galaxies with intermediate discs to dust-poor pure E galaxies
    Revealed in the analysis of elliptical galaxies with nuclear discs.

pith-pipeline@v0.9.0 · 5671 in / 1648 out tokens · 46875 ms · 2026-05-08T02:52:48.811210+00:00 · methodology

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Reference graph

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