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Dark matter - Core Overview and Definitions

Understand what dark matter is, its role in shaping cosmic structure and its classification, and how its energy density scales with the universe’s expansion.
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What are the three ways dark matter fails to interact with electromagnetic radiation?
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Summary

Dark Matter: Invisible Structure of the Universe Introduction When astronomers study the universe, they face a remarkable puzzle: the visible matter we can see—stars, galaxies, and gas clouds—makes up only a small fraction of the universe. By observing how galaxies move and how gravity shapes cosmic structure, scientists have concluded that something massive and invisible must permeate space. This invisible substance is called dark matter, and understanding it is crucial for explaining how galaxies form and why the universe has the structure we observe today. What is Dark Matter? Basic Definition Dark matter is a form of matter that does not emit, absorb, or reflect electromagnetic radiation. This means it produces no light of any kind—no visible light, no radio waves, no X-rays. Telescopes, which collect light from distant objects, cannot directly detect it. The only way we know dark matter exists is through its gravitational effect on visible matter and on the paths of light traveling through space. Dark matter interacts with ordinary matter and radiation exclusively through gravity. It does not participate in electromagnetic interactions, which makes it fundamentally different from the atoms and molecules that make up everything we can see. Why We Know Dark Matter Exists The best evidence for dark matter comes from observing how galaxies rotate. When astronomers measure the rotational speeds of stars at different distances from a galaxy's center, they find something unexpected: stars far from the center move nearly as fast as stars closer in. This shouldn't happen if only visible matter were present. The gravity from visible matter alone would be too weak to hold distant stars in their orbits at such high speeds. The rotation curve shown here demonstrates this discrepancy. The observed velocities (blue points) remain flat at large distances, but the predicted velocities based only on visible stars and gas (dotted line) should decline. Dark matter distributed throughout and around the galaxy provides the extra gravitational pull needed to explain these observations. Dark Matter's Role in Cosmic Structure Dark matter acts as the gravitational scaffolding of the universe. In the early universe, after the Big Bang, tiny density fluctuations in dark matter grew through gravity, forming filamentary structures—long, thread-like regions denser in dark matter. These cosmic filaments guided where ordinary matter would collect and eventually where galaxies would form. The visible galaxies we observe today formed along these dark matter filaments, like beads on a string. Without dark matter's gravitational influence, galaxies, clusters of galaxies, and the large-scale cosmic web as we see it today would never have assembled. The universe's visible structure is fundamentally shaped by invisible dark matter. How Much Dark Matter is in the Universe? Observations from the cosmic microwave background radiation, distant supernovae, and large galaxy surveys have allowed cosmologists to measure the composition of the entire universe with remarkable precision. The energy density of the universe breaks down as follows: Ordinary (baryonic) matter: 5% Dark matter: 26.8% Dark energy: 68.2% This means dark matter makes up roughly 85% of all matter in the universe. For every particle of ordinary matter, there are approximately 5-6 particles of dark matter. The universe is dominated by dark matter far more than by the visible stars and galaxies that we can see. Scaling of Energy Densities: A Technical Perspective In cosmology, "dark matter" has a precise technical meaning based on how its energy density changes as the universe expands. Understanding this distinction is important because it separates dark matter from other cosmic components. How Different Components Scale with Expansion As the universe expands, its size increases according to the cosmological scale factor, denoted as $a$. Different forms of energy density scale differently with $a$: Matter (including dark matter) has an energy density that scales as: $$\rho{\text{matter}} \propto a^{-3}$$ This inverse-cube relationship occurs because as the universe expands and volume increases by a factor of $a^3$, the density of particles is diluted by that same factor. Radiation and light have an energy density that scales as: $$\rho{\text{radiation}} \propto a^{-4}$$ Radiation scales even faster than matter because photons lose energy as the universe expands—their wavelengths stretch to longer, less energetic wavelengths. This is in addition to the dilution effect, hence the $a^{-4}$ scaling. The cosmological constant (dark energy) has a constant energy density: $$\rho{\Lambda} \propto a^{0}$$ This remarkable property—that dark energy density remains constant as the universe expands—is one of its most mysterious features. Cosmological Definition of Dark Matter In cosmology, dark matter is defined as any component whose energy density follows the matter scaling law ($\rho \propto a^{-3}$) but does not emit or absorb light. The term is often used specifically to refer to non-baryonic dark matter—the mysterious unknown particles that are not made of ordinary atoms—rather than to include ordinary matter that happens to be dark (like cold stellar remnants). Baryonic vs. Non-Baryonic Dark Matter Not all dark matter is the same. It's important to distinguish between two fundamentally different types. Baryonic Dark Matter (Ordinary, but Dark) Baryonic dark matter consists of ordinary particles made of baryons—protons and neutrons—the building blocks of atoms. These objects don't emit light and are therefore invisible to telescopes: Brown dwarfs: Failed stars that never reached enough mass to ignite nuclear fusion White dwarfs and neutron stars: Stellar remnants left after stars die MACHOs (Massive Compact Halo Objects): A general term for massive dark objects in galaxy halos While these objects are genuinely dark and genuinely matter, they made up far less of the dark matter budget than originally thought. We can estimate the amount of baryonic dark matter by studying the ratios of light elements created in the early universe (primordial nucleosynthesis), and these observations show that baryonic dark matter contributes only a few percent of the universe's total dark matter. Non-Baryonic Dark Matter Non-baryonic dark matter consists of particles that are not composed of protons and neutrons. These particles do not participate in the normal nuclear and chemical processes that created the elements in the periodic table. They also do not contribute to primordial nucleosynthesis—the production of light elements in the first minutes after the Big Bang. The identity of non-baryonic dark matter particles remains unknown. Leading candidates include WIMPs (Weakly Interacting Massive Particles), axions, and sterile neutrinos, though these remain undetected despite extensive experimental searches. <extrainfo> Cold, Warm, and Hot Dark Matter Dark matter particles can be classified by their typical speeds in the early universe, which determines how far they could travel before slowing down—a distance called the free-streaming length. Cold dark matter particles moved slowly, resulting in a short free-streaming length. They could only travel a small distance before gravitational attractions pulled them together. This allows small-scale structures to form. Warm dark matter particles had intermediate speeds and intermediate free-streaming lengths, suppressing structure formation at small scales. Hot dark matter particles traveled near the speed of light, with a long free-streaming length. They traveled far before being captured by gravity, which suppressed the formation of small structures like dwarf galaxies. Cold dark matter is strongly favored by observations of galaxy distributions and the cosmic microwave background, as it naturally produces the small-scale structures we observe in the universe. </extrainfo>
Flashcards
What are the three ways dark matter fails to interact with electromagnetic radiation?
It does not emit, absorb, or reflect it.
Through what primary force does dark matter interact with ordinary matter and radiation?
Gravity
What role does dark matter play in the formation of large-scale structures like galaxies and clusters?
It provides the gravitational scaffolding.
How did dark matter behave after the Big Bang to guide the assembly of visible galaxies?
It clumped into filamentary structures.
Approximately what percentage of the total energy density of the universe is composed of ordinary matter?
About $5\%$
Approximately what percentage of the total energy density of the universe is composed of dark matter?
About $26.8\%$
Approximately what percentage of the total energy density of the universe is composed of dark energy?
About $68.2\%$
Dark matter represents what percentage of the total matter content in the universe?
Roughly $85\%$
What are the three categories of dark matter based on particle velocity in the early universe?
Cold dark matter Warm dark matter Hot dark matter
What characterized the movement and free-streaming length of cold dark matter particles?
Slow movement and short free-streaming length.
What characterized the movement and free-streaming length of hot dark matter particles?
Speeds near the speed of light and long free-streaming length.
In cosmological terms, how does matter energy density ($\rho$) scale with the scale factor ($a$)?
$\rho \propto a^{-3}$
Why does radiation energy density scale as $\rho \propto a^{-4}$ rather than $a^{-3}$?
Because photon wavelengths are stretched by cosmic expansion.
How does the energy density of the cosmological constant scale with the cosmological scale factor ($a$)?
$\rho \propto a^{0}$ (It remains constant)
What is the specific cosmological definition of dark matter regarding its energy density scaling?
Any component following the matter scaling $\rho \propto a^{-3}$ that does not emit light.
What types of objects constitute baryonic dark matter?
Protons and neutrons bound in faint objects like brown dwarfs, faint stars, or MACHOs.
What distinguishes non-baryonic dark matter from baryonic matter regarding its composition and origin?
It is made of particles not part of standard atomic nuclei and does not affect primordial nucleosynthesis.

Quiz

How does the energy density of matter scale with the cosmological scale factor $a$?
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Key Concepts
Dark Matter Types
Dark matter
Cold dark matter
Warm dark matter
Hot dark matter
Baryonic dark matter
Non‑baryonic dark matter
Cosmological Concepts
Dark energy
Cosmological constant
Scale factor (cosmology)
Large‑scale structure of the universe