Causal Discovery in Astrophysics: Unraveling Supermassive Black Hole and Galaxy Coevolution

Abstract

Correlation does not imply causation, but patterns of statistical association between variables can be exploited to infer a causal structure (even with purely observational data) with the burgeoning field of causal discovery. As a purely observational science, astrophysics has much to gain by exploiting these new methods. The supermassive black hole (SMBH)--galaxy interaction has long been constrained by observed scaling relations, that is low-scatter correlations between variables such as SMBH mass and the central velocity dispersion of stars in a host galaxy's bulge. This study, using advanced causal discovery techniques and an up-to-date dataset, reveals a causal link between galaxy properties and dynamically-measured SMBH masses. We apply a score-based Bayesian framework to compute the exact conditional probabilities of every causal structure that could possibly describe our galaxy sample. With the exact posterior distribution, we determine the most likely causal structures and notice a probable causal reversal when separating galaxies by morphology. In elliptical galaxies, bulge properties (built from major mergers) tend to influence SMBH growth, while in spiral galaxies, SMBHs are seen to affect host galaxy properties, potentially through feedback in gas-rich environments. For spiral galaxies, SMBHs progressively quench star formation, whereas in elliptical galaxies, quenching is complete, and the causal connection has reversed. Our findings support theoretical models of hierarchical assembly of galaxies and active galactic nuclei feedback regulating galaxy evolution. Our study suggests the potentiality for further exploration of causal links in astrophysical and cosmological scaling relations, as well as any other observational science.

arXiv comment35 pages, 21 figures, accepted by The Astrophysical Journal. Previously entitled "A Data-driven Discovery of the Causal Connection between Galaxy and Black Hole Evolution" in earlier versions

References in corpus (85)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Array Programming with NumPy
• The Wide-field Infrared Survey Explorer (WISE): Mission Description and Initial On-orbit Performance
• A Fundamental Relation Between Supermassive Black Holes and Their Host Galaxies
• Coevolution (Or Not) of Supermassive Black Holes and Host Galaxies
• The Demography of Massive Dark Objects in Galaxy Centres
• The many lives of active galactic nuclei: cooling flows, black holes and the luminosities and colours of galaxies
• A Relationship Between Nuclear Black Hole Mass and Galaxy Velocity Dispersion
• Energy input from quasars regulates the growth and activity of black holes and their host galaxies
• The broken hierarchy of galaxy formation
• A Unified, Merger-Driven Model for the Origin of Starbursts, Quasars, the Cosmic X-Ray Background, Supermassive Black Holes and Galaxy Spheroids
• First results from the IllustrisTNG simulations: matter and galaxy clustering
• First results from the IllustrisTNG simulations: the stellar mass content of groups and clusters of galaxies
• A Cosmological Framework for the Co-Evolution of Quasars, Supermassive Black Holes, and Elliptical Galaxies: I. Galaxy Mergers & Quasar Activity
• First results from the IllustrisTNG simulations: the galaxy color bimodality
• The EAGLE simulations of galaxy formation: calibration of subgrid physics and model variations
• First results from the IllustrisTNG simulations: A tale of two elements -- chemical evolution of magnesium and europium
• The Co-Evolution of Galaxies and Supermassive Black Holes: Insights from Surveys of the Contemporary Universe
• From dwarf spheroidals to cDs: Simulating the galaxy population in a LCDM cosmology
• A Unified Model for the Evolution of Galaxies and Quasars
• First results from the IllustrisTNG simulations: radio haloes and magnetic fields
• A Physical Model for the Co-evolution of QSOs and of their Spheroidal Hosts
• HyperLEDA. III. The catalogue of extragalactic distances
• What Shapes the Luminosity Function of Galaxies?
• The physics driving the cosmic star formation history
• The merger rate of galaxies in the Illustris Simulation: a comparison with observations and semi-empirical models
• Galaxy formation in the Planck Cosmology - I. Matching the observed evolution of star formation rates, colours and stellar masses
• Direct cosmological simulations of the growth of black holes and galaxies
• A Comprehensive Study on Galaxies at z~9-16 Found in the Early JWST Data: UV Luminosity Functions and Cosmic Star-Formation History at the Pre-Reionization Epoch
• The stellar mass assembly of galaxies in the Illustris simulation: growth by mergers and the spatial distribution of accreted stars
• Chaotic cold accretion onto black holes
• An expanded M_bh-sigma diagram, and a new calibration of active galactic nuclei masses
• A Cosmological Framework for the Co-Evolution of Quasars, Supermassive Black Holes, and Elliptical Galaxies: II. Formation of Red Ellipticals
• NIHAO project I: Reproducing the inefficiency of galaxy formation across cosmic time with a large sample of cosmological hydrodynamical simulations
• Major Galaxy Mergers Only Trigger the Most Luminous AGN
• A CEERS Discovery of an Accreting Supermassive Black Hole 570 Myr after the Big Bang: Identifying a Progenitor of Massive z > 6 Quasars
• The lesson of causal discovery algorithms for quantum correlations: Causal explanations of Bell-inequality violations require fine-tuning
• Galaxy formation in WMAP1 and WMAP7 cosmologies
• Inclination- and dust-corrected galaxy parameters: Bulge-to-disc ratios and size-luminosity relations
• The non-causal origin of the black hole-galaxy scaling relations
• Towards a Formulation of Quantum Theory as a Causally Neutral Theory of Bayesian Inference
• The (black hole mass)-(host spheroid luminosity) relation at high and low masses, the quadratic growth of black holes, and intermediate-mass black hole candidates
• Selection bias in dynamically-measured super-massive black hole samples: its consequences and the quest for the most fundamental relation
• Quantum common causes and quantum causal models
• A definitive merger-AGN connection at z~0 with CFIS: mergers have an excess of AGN and AGN hosts are more frequently disturbed
• Tracing the cosmic growth of super massive black holes to z ~ 3 with Herschel
• Calibrating Star Formation in WISE using Total Infrared Luminosity
• The Supermassive Black Hole Mass - Spheroid Stellar Mass Relation for Sérsic and Core-Sérsic Galaxies
• Supermassive black holes and their host spheroids II. The red and blue sequence in the $M_{\mathrm{BH}}-M_{\ast ,\mathrm{sph}}$ diagram
• Observational Evidence for the Co-evolution of Galaxy Mergers, Quasars, and the Blue/Red Galaxy Transition
• Black Hole Mass Scaling Relations for Early-Type Galaxies: $M_{BH}$-$M_{\ast ,sph}$ and $M_{BH}$-$M_{\ast ,gal}$
• Star Formation and Metallicity Gradients in Semi-analytic Models of Disk Galaxy Formation
• Black Hole Mass Scaling Relations for Spiral Galaxies. I. $M_{\mathrm{BH}}$-$M_{\ast ,\mathrm{sph}}$
• Black Hole Mass Scaling Relations for Spiral Galaxies. II. $M_{\mathrm{BH}}$-$M_{\ast ,\mathrm{tot}}$ and $M_{\mathrm{BH}}$-$M_{\ast ,\mathrm{disk}}$
• Bulges on the Fundamental Plane of Early-Type Galaxies
• Revealing Hidden Substructures in the $M_{BH}$-$\sigma$ Diagram, and Refining the Bend in the $L$-$\sigma$ Relation
• Updating the (Supermassive Black Hole Mass) - (Spiral Arm Pitch Angle) Relation: A Strong Correlation for Galaxies with Pseudobulges
• The quenching of galaxies, bulges, and disks since cosmic noon: A machine learning approach for identifying causality in astronomical data
• Supermassive black holes and their host spheroids I. Disassembling galaxies
• On the cosmic evolution of AGN obscuration and the X-ray luminosity function: XMM-Newton and Chandra spectral analysis of the 31.3 deg${}^2$ Stripe 82X
• Resolution-independent modeling of environmental effects in semi-analytic models of galaxy formation that include ram-pressure stripping of both hot and cold gas
• The supermassive black hole mass - Sérsic index relations for bulges and elliptical galaxies
• Appreciating mergers for understanding the non-linear $M_{\mathrm{bh}}$-$M_{\ast ,\mathrm{spheroid}}$ and $M_{\mathrm{bh}}$-$M_{\ast ,\mathrm{galaxy}}$ relations, updated herein, and the implications for the (reduced) role of AGN feedback
• The New Galaxy Evolution Paradigm Revealed by the Herschel Surveys
• Horizontal-Branch Models and the Second-Parameter Effect. IV. The Case of M3 and Palomar 3
• NIHAO XXII: Introducing black hole formation, accretion and feedback into the NIHAO simulation suite
• A galaxy classification grid that better recognises early-type galaxy morphology
• A Consistent Set of Empirical Scaling Relations for Spiral Galaxies: The $(v_{\max },M_{\mathrm{DM}})$-$({\sigma }_0,M_{\mathrm{BH}},\varphi )$ Relations
• The Contribution of In-situ and Ex-situ Star Formation in Early-Type Galaxies: MaNGA versus IllustrisTNG
• Defining the (Black Hole)-Spheroid Connection with the Discovery of Morphology-Dependent Substructure in the $M_{\mathrm{BH}}$--${\mathrm{n}}_{\mathrm{sph}}$ and $M_{\mathrm{BH}}$--${\mathrm{R}}_{\mathrm{e},\mathrm{sph}}$ Diagrams: New Tests for Advanced Theories and Realistic Simulations
• Disruption of Hierarchical Clustering in the Vela OB2 Complex and the Cluster Pair Collinder 135 and UBC7 with Gaia EDR3: Evidence of Supernova Quenching
• Inward Bound: The incredible journey of massive black holes as they pair and merge; I. The effect of mass ratio in flattened rotating galactic nuclei
• AGN X-ray luminosity function and absorption function in the Early Universe ($3\le z\le 6$)
• Reading the tea leaves in the $M_{\mathrm{bh}}$-$M_{\ast ,\mathrm{sph}}$ and $M_{\mathrm{bh}}$-$R_{\mathrm{e},\mathrm{sph}}$ diagrams: dry and gaseous mergers with remnant angular momentum
• Resequencing the Hubble sequence and the quadratic (black hole mass)-(spheroid stellar mass) relation for elliptical galaxies
• Invoking the virial theorem to understand the impact of (dry) mergers on the $M_{\mathrm{bh}}$-$\sigma$ relation
• Splitting the lentils: Clues to galaxy/black hole coevolution from the discovery of offset relations for non-dusty versus dusty (wet-merger-built) lenticular galaxies in the $M_{\mathrm{bh}}$-$M_{\ast ,\mathrm{spheroid}}$ diagram
• Quashing a suspected selection bias in galaxy samples having dynamically-measured supermassive black holes
• Discovery of a Planar Black Hole Mass Scaling Relation for Spiral Galaxies
• Understanding the Fundamental Plane and the Tully Fisher Relation
• Co-Evolution vs. Co-existence: The Effect of Accretion Modelling on the Evolution of Black Holes and Host Galaxies
• HELLO project: High-$z$ Evolution of Large and Luminous Objects
• Black Hole Scaling Relations in the Dwarf-galaxy Regime with $Gaia$-Sausage/Enceladus and $\omega$Centauri
• Relating the thermodynamic arrow of time to the causal arrow
• Elliptical (E) and ellicular (ES) galaxies in the M_bh-M_*,sph diagram, and a merger-driven explanation for the origin of ES galaxies, anti-truncated stellar discs in lenticular galaxies, and the Sersicification of E galaxy light profiles

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