IMBH Constraint Stacker

What intermediate-mass black hole masses are still allowed for Omega Centauri? Every published constraint, overlaid on a single log-mass axis.

⚠ Observationally debated
What this tool is. Every published constraint on Omega Centauri's intermediate-mass black hole (IMBH) plotted on the same log-mass axis. Each measurement comes from a different technique — stellar kinematics, proper motion of fast stars, pulsar timing residuals, N-body simulations, or JWST accretion-signature searches — so each constraint has its own assumptions and systematic errors. The chart's job is to surface where they agree (the green allowed window) and where they disagree (the amber tension zone). The headline finding as of May 2026: Bañares 2025 sets a 3σ upper limit at 6,000 M☉, while Häberle 2024 sets a lower bound at 8,200 M☉ — these can't both be right under their stated errors, so at least one has systematic effects not captured in the published uncertainty.

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As of 2026-05-14
Currently allowed: — to —
checking…
Constraint tension.
Detection — central value with uncertainty bars Upper limit — arrow points to allowed (M < value) Lower bound — arrow points to allowed (M > value) No evidence — null result; epistemically ≠ an upper limit M-σ prediction — Gültekin 2009 extrapolation Marker color encodes measurement method (kinematics, proper motion, pulsar timing, JWST accretion, N-body) — see the row labels at left of the chart and the toggles below. Horizontal lanes group markers by method only; their vertical position carries no quantitative meaning.
10⁻³·⁰⁰
Lower ε ⇒ less radiative ⇒ JWST upper limit moves to higher masses. Typical ADAF values are 10⁻⁵ to 10⁻². Placeholder calibration — see About.
10⁻²¹·⁰⁰ kg/m³
Lower ρ ⇒ less Bondi accretion ⇒ JWST upper limit moves to higher masses. Published GC-core estimates span 10⁻²⁵ to 10⁻²² g/cm³ — the second large uncertainty in the Chen et al. derivation.
Click any marker on the chart to see the measurement details and citation.

What this tool does

The single live question a visitor most often wants answered is: given everything we've measured, what IMBH masses are still allowed for Omega Centauri? That question requires overlaying constraints from stellar kinematics, proper-motion analysis, pulsar timing, N-body modelling, and now JWST accretion non-detections. Each measurement was published in isolation; this tool puts them on a single log-mass axis so the allowed window — and any tension between constraints — becomes visible at a glance.

How to read the chart

  • Filled circle ● — positive detection with central value and error bars
  • Down triangle ▼ — upper limit (at the stated confidence)
  • Up triangle ▲ — lower limit
  • Open diamond ◇ — "consistent with zero" / no evidence (not numerically equivalent to an upper limit)
  • Dashed vertical line — M-σ scaling-relation prediction at OC's observed velocity dispersion

Markers are stacked into method-lanes so each row tells you which technique produced the constraint. The shaded region between the tightest lower bound and the tightest upper bound is the currently allowed window. If the lower bound exceeds the upper bound (as it does today between Häberle 2024 and Bañares 2025), that region is highlighted as tension — meaning at least one of the analyses involved has unaccounted-for systematics.

Why the JWST constraint moves

Chen et al. 2025 (JWST NIRSpec) report no accretion signature. Turning that into a mass limit requires assuming a Bondi accretion rate and a radiative efficiency ε. The ε slider lets you see how sensitive the inferred mass limit is — it's the dominant uncertainty, and is the reason this single measurement doesn't itself close out the IMBH hypothesis. The constraint value shown here uses a bolometric sensitivity (10³⁵ erg/s) and ambient density (10⁻²¹ kg/m³) matched to the companion JWST Accretion tool; adjust the efficiency slider there to see how the limit shifts with radiative efficiency assumptions.

What this tool deliberately does not do

It does not weigh constraints against each other, average them, or produce a single best-fit IMBH mass. The point is to show the constraints in their published form, including their disagreements, and let the reader judge.

Epistemic tier

⚠ Observationally debated. The component physics (Bondi accretion, virial theorem, M-σ relation, Schwarzschild geometry) is established. The synthesis — the claim that there exists a single allowed mass window — depends on whether the various analyses' systematic errors have been correctly quoted, which is itself an active research question.

Data sources

All curated measurement values come from tools/data/measurements.js — the canonical CC0 data file shared across OCS tools. Original papers:

    Real-world reference numbers (as of May 2026)

    🕳 The IMBH mass gap and why it matters

    Confirmed black holes cluster at two extremes. Stellar-mass holes (3–150 M☉) are routinely detected by LIGO/Virgo/KAGRA via gravitational-wave mergers — over 200 confirmed events to date. Supermassive holes (10⁶ to 10¹⁰ M☉) sit at the centres of galaxies, imaged directly by the Event Horizon Telescope (M87* at 6.5×10⁹ M☉ in 2019; Sgr A* at 4.3×10⁶ M☉ in 2022) and inferred kinematically in hundreds of others. Between them lies a desert — the "IMBH mass gap" of 10² to 10⁵ M☉ where essentially no confirmed objects exist. Theory expects this population to exist: stellar-mass BHs should merge in dense clusters and grow; primordial mechanisms could seed them at the high end; intermediate stages of supermassive BH growth must pass through this regime. Omega Centauri is the most studied IMBH candidate precisely because closing this gap would constrain both galactic seed formation and the broader cosmological black hole population.

    🔭 Observational baseline behind each constraint

    HST (launched 1990, ~35-year baseline as of May 2026) underpins the proper-motion measurements that drive Häberle 2024. After multi-epoch image registration, achievable astrometric precision per star is ~50 μas/yr (oMEGACat catalog: 1.4 million stars with proper motions), and 10 μas/yr for the brightest. JWST (launched Dec 2021, 4.5 years operational) is now the key tool for accretion-signature searches — Chen et al. 2025 used NIRCam (F200W, F444W) and MIRI (F770W, F1500W) photometry. Pulsar timing: MeerKAT (operational 2018) achieves 100–1000 ns RMS residuals for the best OC millisecond pulsars; the TRAPUM 2026 timing baseline is 2021–2025 (~5 years). VLT integral-field spectroscopy (Noyola 2008 baseline): central-arcsec spectroscopy with 0.1" spatial sampling.

    ⚖ The Bañares–Häberle tension in numbers

    Bañares-Hernández et al. 2025 (A&A 693:A104) reports a 3σ upper limit at 6,000 M☉ from a joint kinematic + pulsar-timing analysis, with a best-fit favouring an extended ~2–3×10⁵ M☉ dark mass rather than a point IMBH. Häberle et al. 2024 (Nature 631:285) reports a lower bound of 8,200 M☉ from 7 fast stars in the central 3″, with their preferred best-fit range 39,000–47,000 M☉. The gap between 6,000 (upper) and 8,200 (lower) is roughly 1σ in absolute terms but 3σ formally — they cannot both be correct under their quoted errors. Resolution candidates discussed in the literature: (a) the central mass is not point-like (favoured by Bañares), (b) one or more of the seven Häberle fast stars is a foreground/background contaminant, (c) pulsar timing analyses underestimate cluster-potential degeneracy, or (d) some combination. The November 2025 oMEGACat-VI 3D kinematic catalog provides the most comprehensive dataset for resolving this; analyses building on it are expected through 2026–2027.

    📡 What's coming next

    SKA-Mid (first light expected ~2028) will improve OC pulsar timing precision by ~10× and discover additional millisecond pulsars that would tighten the timing-based upper limit by orders of magnitude. JWST cycle 4+ programs (5137 Häberle PI follow-up; ongoing accretion-signature searches by multiple teams) will reduce the Chen-style accretion upper limit calibration uncertainty. Extremely Large Telescope (ELT) first light is forecast for 2029; its 39 m primary and ~1 mas astrometric precision per epoch will resolve OC central stellar dynamics at a level no current instrument approaches, likely closing the Bañares/Häberle question definitively by 2032.

    📊 Comparison: confirmed BH mass distribution

    For context, the highest-mass LIGO event to date — GW190521, two ~85 M☉ BHs merging into a ~150 M☉ remnant — is the closest gravitational-wave observation to the IMBH regime, sitting at its lower edge. The lowest confirmed supermassive BH is around 1.5×10⁵ M☉ in NGC 4395 (Filippenko & Ho 2003), inferred via reverberation mapping. The kinematic and dynamical IMBH candidates between these — including OC, NGC 6388, M54, 47 Tuc — all sit in the 10³–10⁵ M☉ range with substantial published uncertainty. If the OC IMBH is confirmed in the Häberle range (~10⁴ M☉), it would be the least massive directly-confirmed BH in any nuclear cluster and a critical anchor for the BH mass function at the high-end of the gap.

    🔗 Related tools

    IMBH measurement timeline — same data plotted chronologically. JWST accretion limit visualiser — the parameter-dependent curve behind the Chen 2025 constraint shown here. Pulsar timing sensitivity — where the Bañares limit comes from, with OC's known pulsars overlaid. Velocity dispersion / M-σ — the dashed prediction line on this chart, with the underlying calculation. LISA EMRI/IMRI detectability — the future dynamical test that would settle the question independent of every static constraint here. CMD explorer — OC's multi-population structure complicates the kinematic centre that every measurement here depends on. Falsification & observational roadmap — every constraint above mapped to the future observation that would tighten or invalidate it.

    v1.1 — 2026-05-16 · Tool content may be revised as scientific knowledge evolves · Code MIT · Prose CC BY 4.0 · Data CC0