Recognition: no theorem link
Infrared Line Diagnostics Fail to Constrain Sgr A*'s UV Output
Pith reviewed 2026-05-15 02:15 UTC · model grok-4.3
The pith
Infrared emission lines near Sgr A* remain steady despite flares, preventing constraints on the black hole's instantaneous UV output.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
The absence of detectable variability in mid-infrared emission lines, despite expectations from photoionization models, arises because the spatially extended line-emitting gas has light-crossing timescales of 0.1-10 days and recombination/cooling timescales much longer than individual flare durations; the resulting emission is continuum-dominated, intrinsically weak, and velocity-broadened to ~10^3 km s^-1, so infrared line diagnostics cannot constrain the instantaneous UV flux of Sgr A*.
What carries the argument
The mismatch between short flare durations and the long light-crossing plus recombination timescales of the extended line-emitting gas, which averages any transient response into a steady-state signal.
If this is right
- The predicted line emission is continuum-dominated and broadened by velocities of order 10^3 km s^-1, which reduces contrast and limits detectability.
- Extending the search to higher-ionization mid-infrared or near-infrared lines yields no gain in sensitivity.
- Infrared line diagnostics can only trace the steady-state radiation field and are unsuitable for measuring flare-by-flare UV output.
Where Pith is reading between the lines
- Steady-state photoionization calculations could still be used to bound the time-averaged UV luminosity over weeks or longer.
- Similar averaging arguments may apply to line diagnostics around other accreting black holes with short variability timescales.
- Direct constraints on Sgr A* UV output will require wavelengths or techniques that respond on the flare timescale itself.
Load-bearing premise
The line-emitting gas is distributed over scales where light takes days to cross and where recombination and cooling times greatly exceed flare lengths.
What would settle it
Detection of statistically significant changes in any of the listed mid-infrared lines that are synchronized with known Sgr A* flare times on hourly-to-daily scales would contradict the central claim.
Figures
read the original abstract
Sgr A*, the 4 x 10^6 solar-mass supermassive black hole at the Galactic Center, exhibits frequent flaring with X-ray luminosities of L_X ~ 10^35--10^36 erg s^-1, while its ultraviolet (UV) emission remains unconstrained due to extreme extinction (A_V ~ 30 mag). We use JWST/MIRI time-resolved spectroscopy of the central Galactic Center's 0.3 arcsec region to search for mid-infrared emission-line variability driven by Sgr A* flares, comparing the results to CLOUDY photoionization models spanning flare luminosities of L_UV = 10^32--10^39 erg s^-1 in a dense medium. We detect no statistically significant variability in any mid-infrared line, including [Fe II] 5.34 micron, [Ne II] 12.813 micron, [Fe II] 17.936 micron, and [S III] 18.713 micron. Despite expectations of a flare-driven response, we show that the lack of variability is consistent with the physical conditions in the spatially extended line-emitting gas, where light-crossing timescales of ~0.1--10 days and recombination and cooling timescales much longer than the flare timescale suppress any observable response to individual flares. We further find that the predicted emission is continuum dominated and that even the brightest lines are intrinsically weak and broadened by velocities of order 10^3 km s^-1, reducing their contrast against the continuum and limiting their detectability. Extending the analysis to higher-ionization mid-infrared and near-infrared lines does not improve sensitivity. These results demonstrate that infrared emission lines trace a steady-state radiation field rather than individual flaring events, and therefore infrared line diagnostics cannot be used to constrain the instantaneous UV flux of Sgr A*.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper reports a non-detection of statistically significant variability in mid-infrared emission lines ([Fe II] 5.34 μm, [Ne II] 12.813 μm, [Fe II] 17.936 μm, [S III] 18.713 μm) from JWST/MIRI time-resolved spectroscopy of the central 0.3 arcsec region around Sgr A*. It compares this null result to CLOUDY photoionization models for L_UV spanning 10^32–10^39 erg s^{-1} and attributes the lack of response to light-crossing timescales of ~0.1–10 days across the extended gas plus recombination/cooling timescales exceeding flare durations, concluding that the lines trace a steady-state radiation field and cannot constrain the instantaneous UV flux of Sgr A*.
Significance. If the result holds, the work is significant for establishing that infrared line diagnostics are insensitive to individual flares from Sgr A* owing to the physical conditions in the spatially extended line-emitting gas. The combination of the reported null detection, explicit model comparison, and timescale argument provides a clear, falsifiable explanation for why such lines are continuum-dominated and velocity-broadened, limiting their utility for transient UV constraints. This is a useful observational limit for Galactic Center studies.
minor comments (2)
- The abstract states that lines are 'broadened by velocities of order 10^3 km s^{-1}'; the main text should explicitly state the adopted line profile (Gaussian or otherwise) and how this broadening is incorporated into the CLOUDY predictions for contrast against the continuum.
- The manuscript would benefit from a brief table summarizing the exact flare durations and luminosities used in the CLOUDY grid, to allow direct comparison with the observed non-variability limits.
Simulated Author's Rebuttal
We thank the referee for their positive assessment of our work and for recommending acceptance. We are pleased that the combination of the null detection, model comparison, and timescale arguments is viewed as providing a clear explanation for the lack of observable line variability.
Circularity Check
No significant circularity identified
full rationale
The paper reports a direct observational null result from JWST/MIRI time-resolved spectroscopy showing no statistically significant variability in mid-IR lines. This is compared to independent CLOUDY photoionization models run over a range of L_UV values. The explanation for the null result invokes standard physical timescales (light-crossing time across 0.3 arcsec and recombination/cooling times) derived from atomic physics and geometry, without any parameter fitting to the target data that would make the conclusion self-referential. No self-citations, ansatzes, or renamings reduce the central claim to its own inputs by construction; the derivation remains self-contained against external benchmarks.
Axiom & Free-Parameter Ledger
axioms (2)
- domain assumption CLOUDY photoionization models accurately predict line responses to UV illumination in dense gas
- domain assumption Light-crossing, recombination, and cooling timescales in the spatially extended line-emitting gas exceed flare durations
Reference graph
Works this paper leans on
-
[1]
Abel, N. P., & Satyapal, S. 2008, ApJ, 678, 686, doi: 10.1086/529013 Astropy Collaboration, Robitaille, T. P., Tollerud, E. J., et al. 2013, A&A, 558, A33, doi: 10.1051/0004-6361/201322068 Astropy Collaboration, Price-Whelan, A. M., Sip˝ ocz, B. M., et al. 2018, AJ, 156, 123, doi: 10.3847/1538-3881/aabc4f Astropy Collaboration, Price-Whelan, A. M., Lim, P...
-
[2]
2024, ApJ, 974, 98, doi: 10.3847/1538-4357/ad6c08
Balakrishnan, M., Corrales, L., Markoff, S., et al. 2024, ApJ, 974, 98, doi: 10.3847/1538-4357/ad6c08
-
[3]
E., Matthews, K., Neugebauer, G., & Willner, S
Becklin, E. E., Matthews, K., Neugebauer, G., & Willner, S. P. 1978, ApJ, 219, 121, doi: 10.1086/155761
-
[4]
Becklin, E. E., & Neugebauer, G. 1968, ApJ, 151, 145, doi: 10.1086/149425
-
[5]
Bennert, N., Falcke, H., Schulz, H., Wilson, A. S., & Wills, B. J. 2002, ApJL, 574, L105, doi: 10.1086/342420
-
[6]
Bentz, M. C., & Katz, S. 2015, PASP, 127, 67, doi: 10.1086/679601
-
[7]
Bentz, M. C., Denney, K. D., Grier, C. J., et al. 2013, ApJ, 767, 149, doi: 10.1088/0004-637X/767/2/149
work page internal anchor Pith review doi:10.1088/0004-637x/767/2/149 2013
-
[8]
Blandford, R. D., & McKee, C. F. 1982, ApJ, 255, 419, doi: 10.1086/159843 Bouffard, ´E., Haggard, D., Nowak, M. A., et al. 2019, ApJ, 884, 148, doi: 10.3847/1538-4357/ab4266
-
[9]
2019, ApJ, 871, 161, doi: 10.3847/1538-4357/aaf71f
Boyce, H., Haggard, D., Witzel, G., et al. 2019, ApJ, 871, 161, doi: 10.3847/1538-4357/aaf71f
-
[10]
2022, ApJ, 931, 7, doi: 10.3847/1538-4357/ac6104
Boyce, H., Haggard, D., Witzel, G., et al. 2022, ApJ, 931, 7, doi: 10.3847/1538-4357/ac6104
-
[11]
2013, A&A, 558, A32, doi: 10.1051/0004-6361/201321667
Clavel, M., Terrier, R., Goldwurm, A., et al. 2013, A&A, 558, A32, doi: 10.1051/0004-6361/201321667
-
[12]
R., Mon, B., Haggard, D., et al
Corrales, L. R., Mon, B., Haggard, D., et al. 2017, ApJ, 839, 76, doi: 10.3847/1538-4357/aa68dd 13
-
[13]
Dempsey, R., & Zakamska, N. L. 2018, MNRAS, 477, 4615, doi: 10.1093/mnras/sty941
-
[14]
Dere, K. 2013, ChiantiPy: Python package for the CHIANTI atomic database,, Astrophysics Source Code Library, record ascl:1308.017 http://ascl.net/1308.017
work page 2013
-
[15]
2026, Jdaviz, v4.5.1 Zenodo, doi: 10.5281/zenodo.18894838
Developers, J., Averbukh, J., Bradley, L., et al. 2026, Jdaviz, v4.5.1 Zenodo, doi: 10.5281/zenodo.18894838
-
[16]
Dinh, C. K., Ciurlo, A., Morris, M. R., et al. 2024, AJ, 167, 41, doi: 10.3847/1538-3881/ad10a5
-
[17]
Do, T., Witzel, G., Gautam, A. K., et al. 2019, ApJL, 882, L27, doi: 10.3847/2041-8213/ab38c3
-
[18]
2009, ApJ, 698, 676, doi: 10.1088/0004-637X/698/1/676
Dodds-Eden, K., Porquet, D., Trap, G., et al. 2009, ApJ, 698, 676, doi: 10.1088/0004-637X/698/1/676
-
[19]
Drappeau, S., Dibi, S., Dexter, J., Markoff, S., & Fragile, P. C. 2013, MNRAS, 431, 2872, doi: 10.1093/mnras/stt388
-
[20]
WHAT IS SGR A*? The Starved Black Hole in the Center of the Milky Way
Falcke, H. 1996, in IAU Symposium, Vol. 169, Unsolved Problems of the Milky Way, ed. L. Blitz & P. J. Teuben, 169, doi: 10.48550/arXiv.astro-ph/9411065
work page internal anchor Pith review Pith/arXiv arXiv doi:10.48550/arxiv.astro-ph/9411065 1996
-
[21]
M., Balakrishnan, M., von Fellenberg, S
Ford, N. M., Balakrishnan, M., von Fellenberg, S. D., et al. 2026, ApJ
work page 2026
-
[22]
Ghez, A. M., Salim, S., Weinberg, N. N., et al. 2008, ApJ, 689, 1044, doi: 10.1086/592738
-
[23]
Gillessen, S., Plewa, P. M., Widmann, F., et al. 2019, ApJ, 871, 126, doi: 10.3847/1538-4357/aaf4f8 GRAVITY Collaboration, Abuter, R., Amorim, A., et al. 2019, A&A, 625, L10, doi: 10.1051/0004-6361/201935656 GRAVITY Collaboration, Abuter, R., Amorim, A., et al. 2021, A&A, 654, A22, doi: 10.1051/0004-6361/202140981
-
[24]
Gunasekera, C. M., van Hoof, P. A. M., Dehghanian, M., et al. 2025, RMxAA, 61, 120, doi: 10.22201/ia.01851101p.2025.61.03.01
-
[25]
2019, ApJ, 886, 96, doi: 10.3847/1538-4357/ab4a7f 18
Haggard, D., Nynka, M., Mon, B., et al. 2019, ApJ, 886, 96, doi: 10.3847/1538-4357/ab4a7f
-
[26]
2023, Spacetime & Spectra: Joint Chandra/JWST/EHT Observations of Sgr A*,, JWST Proposal
Haggard, D., Balokovic, M., Bower, G., et al. 2023, Spacetime & Spectra: Joint Chandra/JWST/EHT Observations of Sgr A*,, JWST Proposal. Cycle 2, ID. #4572
work page 2023
-
[27]
Hainline, L. J., Morgan, C. W., MacLeod, C. L., et al. 2013, ApJ, 774, 69, doi: 10.1088/0004-637X/774/1/69
-
[28]
L., Haggard, D., Witzel, G., et al
Hora, J. L., Haggard, D., Witzel, G., et al. 2023, Sgr A* as Particle Accelerator: What Drives the Black Hole’s Variable IR and X-ray Emission?,, JWST Proposal. Cycle 2, ID. #3324
work page 2023
-
[29]
L., Haggard, D., von Fellenberg, S., et al
Hora, J. L., Haggard, D., von Fellenberg, S., et al. 2025, A Joint Mid-IR and X-ray Investigation of the Physics Driving Sgr A*’s Flares,, JWST Proposal. Cycle 4, ID. #7532
work page 2025
-
[30]
1996, PASJ, 48, 249, doi: 10.1093/pasj/48.2.249
Koyama, K., Maeda, Y., Sonobe, T., et al. 1996, PASJ, 48, 249, doi: 10.1093/pasj/48.2.249
-
[31]
Lu, J. R., Do, T., Ghez, A. M., et al. 2013, ApJ, 764, 155, doi: 10.1088/0004-637X/764/2/155
-
[32]
Markoff, S., Falcke, H., Yuan, F., & Biermann, P. L. 2001, A&A, 379, L13, doi: 10.1051/0004-6361:20011346
-
[33]
Marrone, D. P., Moran, J. M., Zhao, J.-H., & Rao, R. 2006, in Journal of Physics Conference Series, Vol. 54, Journal of Physics Conference Series, ed. R. Sch¨ odel, G. C
work page 2006
-
[34]
Bower, M. P. Muno, S. Nayakshin, & T. Ott (IOP), 354–362, doi: 10.1088/1742-6596/54/1/056
-
[35]
Marrone, D. P., Baganoff, F. K., Morris, M. R., et al. 2008, ApJ, 682, 373, doi: 10.1086/588806
-
[36]
Martins, F., Genzel, R., Hillier, D. J., et al. 2007, A&A, 468, 233, doi: 10.1051/0004-6361:20066688
-
[37]
2001, ARA&A, 39, 309, doi: 10.1146/annurev.astro.39.1.309
Melia, F., & Falcke, H. 2001, ARA&A, 39, 309, doi: 10.1146/annurev.astro.39.1.309
-
[38]
Michail, J. M., von Fellenberg, S. D., Keating, G. K., et al. 2026, ApJ, 997, 282, doi: 10.3847/1538-4357/ae25ef
-
[39]
Nahar, S. N. 1995, ApJS, 101, 423, doi: 10.1086/192248
-
[40]
Narayan, R., Mahadevan, R., Grindlay, J. E., Popham, R. G., & Gammie, C. 1998, ApJ, 492, 554, doi: 10.1086/305070
-
[41]
Narayan, R., & Yi, I. 1994, ApJL, 428, L13, doi: 10.1086/187381
-
[42]
1998, ApJS, 114, 269, doi: 10.1086/313069
Nayakshin, S., & Melia, F. 1998, ApJS, 114, 269, doi: 10.1086/313069
-
[43]
Neilsen, J., Nowak, M. A., Gammie, C., et al. 2013, ApJ, 774, 42, doi: 10.1088/0004-637X/774/1/42
-
[44]
2006, ApJ, 643, 1011, doi: 10.1086/503273
Paumard, T., Genzel, R., Martins, F., et al. 2006, ApJ, 643, 1011, doi: 10.1086/503273
-
[45]
Peterson, B. M. 1997, An Introduction to Active Galactic Nuclei (Cambridge: Cambridge University Press)
work page 1997
-
[46]
Peterson, B. M., Ferrarese, L., Gilbert, K. M., et al. 2004, ApJ, 613, 682, doi: 10.1086/423269
-
[47]
2010, ApJ, 714, 732, doi: 10.1088/0004-637X/714/1/732
Ponti, G., Terrier, R., Goldwurm, A., Belanger, G., & Trap, G. 2010, ApJ, 714, 732, doi: 10.1088/0004-637X/714/1/732
-
[48]
Ponti, G., De Marco, B., Morris, M. R., et al. 2015, MNRAS, 454, 1525, doi: 10.1093/mnras/stv1537
-
[49]
2003, A&A, 407, L17, doi: 10.1051/0004-6361:20030983
Porquet, D., Predehl, P., Aschenbach, B., et al. 2003, A&A, 407, L17, doi: 10.1051/0004-6361:20030983
-
[50]
2002, ApJ, 575, 855, doi: 10.1086/341425
Quataert, E. 2002, ApJ, 575, 855, doi: 10.1086/341425
-
[51]
Ressler, S. M., Quataert, E., & Stone, J. M. 2018, MNRAS, 478, 3544, doi: 10.1093/mnras/sty1146
-
[52]
Rieke, G. H., & Lebofsky, M. J. 1985, ApJ, 288, 618, doi: 10.1086/162827
-
[53]
Schirmer, M., Malhotra, S., Levenson, N. A., et al. 2016, MNRAS, 463, 1554, doi: 10.1093/mnras/stw1819
-
[54]
Schmitt, H. R., Donley, J. L., Antonucci, R. R. J., et al. 2003, ApJ, 597, 768, doi: 10.1086/381224 14 Sch¨ odel, R., Morris, M. R., Muzic, K., et al. 2011, A&A, 532, A83, doi: 10.1051/0004-6361/201116994
-
[55]
1997, ApJL, 490, L77, doi: 10.1086/311010
Serabyn, E., Carlstrom, J., Lay, O., et al. 1997, ApJL, 490, L77, doi: 10.1086/311010
-
[56]
Badnell, N. R., & Loch, S. D. 2007, in American Institute of Physics Conference Series, Vol. 901, Atomic and Molecular Data and Their Applications, ed. E. Roueff (AIP), 239–248, doi: 10.1063/1.2727374
- [57]
-
[58]
Sun, A.-L., Greene, J. E., Zakamska, N. L., et al. 2018, MNRAS, 480, 2302, doi: 10.1093/mnras/sty1394 The Event Horizon Telescope Collaboration. 2023, arXiv e-prints, arXiv:2311.08679, doi: 10.48550/arXiv.2311.08679 von Fellenberg, S. D., Michail, J. M., Willner, S. P., et al. 2025a, ApJ, 995, 215, doi: 10.3847/1538-4357/ae182a von Fellenberg, S. D., Royc...
-
[59]
Wang, Q. D., Nowak, M. A., Markoff, S. B., et al. 2013, Science, 341, 981, doi: 10.1126/science.1240755
-
[60]
2015, PASP, 127, 646, doi: 10.1086/682281
Wells, M., Pel, J.-W., Glasse, A., et al. 2015, PASP, 127, 646, doi: 10.1086/682281
-
[61]
2003, ApJ, 598, 301, doi: 10.1086/378716
Yuan, F., Quataert, E., & Narayan, R. 2003, ApJ, 598, 301, doi: 10.1086/378716
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.