Paper A's postulate P2 (intermediate mass, high/spin-uppable, dense old fuel reservoir, dynamical quiescence) ranks real Galactic systems, not just ω Cen in isolation. Weight the four selection criteria yourself and watch the seven leading candidates re-sort live.
| System | Evidence | Mass | Fuel | Age/quiet | Notes and key references |
|---|
Paper A §"Selection criteria over host systems" derives P2's ranking from four competing requirements: (1) black-hole mass in the intermediate 10³–10⁵ M☉ range, where Eddington-limited throughput and Bekenstein–Hawking storage both favour larger M while tidal-disruption risk and galactic-centre crowding favour smaller M; (2) high spin or spin-up feasibility via Blandford–Znajek and prograde-disk accretion; (3) a dense, old, low-mass stellar reservoir a globular-cluster core supplies at ~10⁵–10⁶ stars per parsec; (4) dynamical age >10 Gyr and gas-poor quiescence, minimizing both natural accretion noise and hazards to infrastructure. This tool folds criterion 2 (spin/spin-up) into the fuel-reservoir score since spin-up requires the same accretable fuel supply the paper's table already scores jointly, and reproduces the paper's four displayed columns exactly: evidence, mass, fuel, age/quiet.
Each cell's symbol maps to a score: ++ = 2, + = 1, ° = 0, − = −1. The ranked output is the weight-dotted sum ∑ w_i · s_i across the four criteria, re-sorted live as the sliders move. Because ω Cen scores ++ on all four criteria, no non-negative weighting can place another candidate above it — the paper's "ω Cen satisfies them maximally" claim is a structural property of the table, not an artifact of one weighting choice.
ω Cen tops every criterion, though its fast-star kinematic lower bound on IMBH mass is contested by pulsar-timing non-detections (Häberle et al. 2024; Bañares-Hernández et al. 2025). 47 Tuc carries a pulsar-timing mass claim not required by later dynamical modelling (Kiziltan et al. 2017; Mann et al. 2019). M54, the Sagittarius dwarf's nuclear cluster, shows kinematic hints at ~10⁴ M☉ but sits 26 kpc away (Greene et al. 2020). NGC 6388 and NGC 6441 both carry disputed kinematic claims alongside deep radio non-detections (Tremou et al. 2018). Terzan 5 hosts the densest known millisecond-pulsar population but suffers heavy bulge extinction and no direct IMBH evidence (Tremou et al. 2018). M15 is a historical IMBH candidate whose kinematics are equally well fit by a concentrated stellar-remnant population (Baumgardt & Hilker 2019; Greene et al. 2020).
Flagged as a good MCP-exposure candidate for the next tools-manifest.json revision (per OCS-TOOLS-GAP-SCAN_2026-07-23 item 6); not added to the manifest in this pass — that decision rides with the manifest rev, not this build.