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Self-Interacting Dark Matter (SIDM) vs Fuzzy Dark Matter

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Dark Matter Candidates· within family

	Self-Interacting Dark Matter (SIDM) Frontier	Fuzzy Dark Matter Frontier
Proposed	2000 / 2018	2000
Key figures	David Spergel, Paul Steinhardt, Sean Tulin, Hai-Bo Yu	Wayne Hu, Rennan Barkana, Andrei Gruzinov, Lam Hui
In one sentence	Dark matter that interacts with itself via some non-gravitational force, with cross sections tuned so the interactions thermalize the inner regions of dwarf galaxies (creating cores instead of cusps) but barely affect large-scale structure.	Fuzzy Dark Matter is an ultra-light scalar (mass ~10^-22 eV) whose de Broglie wavelength reaches kpc scales, producing wave-mechanical phenomenology in galactic dynamics. The framework was introduced by Hu, Barkana, and Gruzinov in 2000 (Phys. Rev. Lett. 85, 1158) and substantially developed in the 2017 Hui-Ostriker-Tremaine-Witten paper Ultralight scalars as cosmological dark matter (Phys. Rev. D 95, 043541). Distinct from generic Axions due to its ultra-light mass and the resulting wave-mechanical effects on galactic scales.
Predictions	Cored density profiles in dwarf and low-surface-brightness galaxies, with core sizes correlated with halo mass and velocity dispersion Reduced central densities and rounder inner halos in galaxy clusters compared to pure CDM, but a smaller effect than in dwarfs (because clusters have higher velocity dispersion and shorter halo crossing times relative to the SIDM mean free path) Possible offsets between dark matter and galaxies in merging cluster systems, depending on the velocity dependence of the cross-section	Galactic dark-matter halos have minimum core size set by the de Broglie wavelength of the FDM particle; sub-kiloparsec cores are predicted for ~10^-22 eV particles Dwarf-galaxy cores are dominated by solitonic structures, the ground-state quantum-wave configurations of the FDM particle in a self-gravitating halo Lyman-alpha forest measurements should detect the wave-mechanical suppression of small-scale structure at masses below the constraint threshold Specific signatures in the matter power spectrum on small scales that distinguish FDM from generic cold dark matter
Where it breaks	Baryonic physics (star formation feedback, AGN) can also produce cores within CDM, reducing the necessity of SIDM Cluster shapes and ellipticity from gravitational lensing constrain σ/m below the value needed to affect dwarf cores, requiring velocity-dependent cross-sections that some models can produce but not all Missing-satellites and too-big-to-fail problems aren't fully addressed by SIDM alone; they require additional fixes Critics view SIDM as introducing a free parameter (the cross-section) rather than proposing a specific candidate particle	Lyman-alpha forest constraints place lower bounds on the FDM particle mass around 10^-21 eV or higher; the original ~10^-22 eV proposal is now disfavored Dwarf-galaxy observations are in tension with the FDM predictions for solitonic-core sizes; current best-fit FDM masses produce cores too large for some observed dwarfs Distinguishing FDM from generic CDM observationally requires precise measurements at very small scales; current data places constraints but does not unambiguously favor one over the other The framework requires a specific ultra-light particle mass and self-interaction structure; the deep physical motivation for these values from string compactification or alternative UV physics is not crisp
Key unresolved problem	The mimicry problem: ordinary effects like exploding stars and black-hole winds can carve out the same smooth galaxy centers that self-interacting dark matter (SIDM) would, so nothing observed yet clearly requires the particles to collide with each other.	The Lyman-alpha tension: the fine structure seen in distant gas clouds (the Lyman-alpha forest) now rules out the original ultra-light particle mass near 10^-22 eV, leaving only somewhat heavier, still-unconfirmed values in play.
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Self-Interacting Dark Matter (SIDM)

2000 / 2018 · Frontier

Fuzzy Dark Matter

2000 · Frontier

Proposed

2000 / 2018

2000

Key figures

David Spergel, Paul Steinhardt, Sean Tulin, Hai-Bo Yu

Wayne Hu, Rennan Barkana, Andrei Gruzinov, Lam Hui

In one sentence

Dark matter that interacts with itself via some non-gravitational force, with cross sections tuned so the interactions thermalize the inner regions of dwarf galaxies (creating cores instead of cusps) but barely affect large-scale structure.

Fuzzy Dark Matter is an ultra-light scalar (mass ~10^-22 eV) whose de Broglie wavelength reaches kpc scales, producing wave-mechanical phenomenology in galactic dynamics. The framework was introduced by Hu, Barkana, and Gruzinov in 2000 (Phys. Rev. Lett. 85, 1158) and substantially developed in the 2017 Hui-Ostriker-Tremaine-Witten paper *Ultralight scalars as cosmological dark matter* (Phys. Rev. D 95, 043541). Distinct from generic Axions due to its ultra-light mass and the resulting wave-mechanical effects on galactic scales.

Predictions

Cored density profiles in dwarf and low-surface-brightness galaxies, with core sizes correlated with halo mass and velocity dispersion
Reduced central densities and rounder inner halos in galaxy clusters compared to pure CDM, but a smaller effect than in dwarfs (because clusters have higher velocity dispersion and shorter halo crossing times relative to the SIDM mean free path)
Possible offsets between dark matter and galaxies in merging cluster systems, depending on the velocity dependence of the cross-section

Galactic dark-matter halos have minimum core size set by the de Broglie wavelength of the FDM particle; sub-kiloparsec cores are predicted for ~10^-22 eV particles
Dwarf-galaxy cores are dominated by solitonic structures, the ground-state quantum-wave configurations of the FDM particle in a self-gravitating halo
Lyman-alpha forest measurements should detect the wave-mechanical suppression of small-scale structure at masses below the constraint threshold
Specific signatures in the matter power spectrum on small scales that distinguish FDM from generic cold dark matter

Where it breaks

Baryonic physics (star formation feedback, AGN) can also produce cores within CDM, reducing the necessity of SIDM
Cluster shapes and ellipticity from gravitational lensing constrain σ/m below the value needed to affect dwarf cores, requiring velocity-dependent cross-sections that some models can produce but not all
Missing-satellites and too-big-to-fail problems aren't fully addressed by SIDM alone; they require additional fixes
Critics view SIDM as introducing a free parameter (the cross-section) rather than proposing a specific candidate particle

Lyman-alpha forest constraints place lower bounds on the FDM particle mass around 10^-21 eV or higher; the original ~10^-22 eV proposal is now disfavored
Dwarf-galaxy observations are in tension with the FDM predictions for solitonic-core sizes; current best-fit FDM masses produce cores too large for some observed dwarfs
Distinguishing FDM from generic CDM observationally requires precise measurements at very small scales; current data places constraints but does not unambiguously favor one over the other
The framework requires a specific ultra-light particle mass and self-interaction structure; the deep physical motivation for these values from string compactification or alternative UV physics is not crisp

Key unresolved problem

The mimicry problem: ordinary effects like exploding stars and black-hole winds can carve out the same smooth galaxy centers that self-interacting dark matter (SIDM) would, so nothing observed yet clearly requires the particles to collide with each other.

The Lyman-alpha tension: the fine structure seen in distant gas clouds (the Lyman-alpha forest) now rules out the original ultra-light particle mass near 10^-22 eV, leaving only somewhat heavier, still-unconfirmed values in play.

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