Jan Oort (1900 - 92) [left] and Fritz Zwicky (1898 - 1974) [above] |
Ways to Study Dark Matter:
• Rotation curves for stars in
individual galaxies,
• Gravitational micro-lensing (LSST),
• Speeds of galaxies in large clusters,
• X-ray
emission by hot
gas in clusters,
• Power
spectrum of temperature variations in the Big Flash,
• Study of baryonic
acoustic oscillations in the Big Flash, as
they survive in the present universe.
• Direct
detection of Dark Matter particles on earth. [Here are the
two largest facilities with underground DM detectors, LNGS, and
SURF.]
| Today, the last scattering surface — the origin of the CMB — is about 42 to 45 billion light‑years away in comoving distance, even though the light has only been traveling for 13.8 billion years. |
| |
| |
A quote from the literature: “On sub-degree scales, the rich structure in the anisotropy spectrum is the consequence of gravity-driven acoustic oscillations occurring before the atoms in the universe became neutral. Perturbations inside the horizon at last scattering have been able to evolve causally and produce anisotropy at the last scattering epoch which reflects that evolution. The frozen-in phases of these sound waves imprint a dependence on the cosmological parameters, which gives CMB anisotropies their great constraining power.
“The underlying physics can be understood as follows. When the proton-electron plasma was tightly coupled to the photons, these components behaved as a single ‘photon-baryon fluid’, with the photons providing most of the pressure and the baryons the inertia. Perturbations in the gravitational potential, dominated by the dark matter component, are steadily evolving. They drive oscillations in the photon-baryon fluid, with photon pressure providing the restoring force. The perturbations are quite small, O(10-5), and so evolve linearly. That means each Fourier mode evolves independently and is described by a driven harmonic oscillator, with frequency determined by the sound speed in the fluid. Thus, there is an oscillation of the fluid density, with velocity π/2 out of phase and having amplitude reduced by the sound speed.
“After the Universe recombined the baryons and radiation decoupled, and the radiation could travel freely towards us. At that point the phases of the oscillations were frozen-in, and projected on the sky as a harmonic series of peaks. The main peak is the mode that went through 1/4 of a period, reaching maximal compression. The even peaks are maximal under-densities, which are generally of smaller amplitude because the rebound has to fight against the baryon inertia. The troughs, which do not extend to zero power, are partially filled because they are at the velocity maxima.
“An additional effect comes from geometrical projection. The scale associated with the peaks is the sound horizon at last scattering, which can be confidently calculated as a physical length scale. This scale is projected onto the sky, leading to an angular scale that depends on the background cosmology. Hence the angular position of the peaks is a sensitive probe of the spatial curvature of the Universe (i.e., Ωtot), with the peaks predicted to lie at higher ℓ in open universes and lower in closed geometry.”
Polarization occurs when the electric and
magnetic fields of CMB photons oscillate preferentially in
certain directions rather than randomly, producing a
measurable pattern in the sky. This polarization arises
primarily from Thomson scattering, where photons scatter off
free electrons in the early universe, particularly during the
epoch when the universe transitioned from ionized plasma to
neutral gas . Types of Polarization--- CMB polarization is
classified into two main patterns: E-mode polarization:
This pattern has a radial or tangential symmetry and is
generated by scalar density fluctuations in the early
universe. E-modes are the dominant component of CMB
polarization and have been measured with high precision. B-mode
polarization: This pattern has a swirling or curl-like
structure and is produced by tensor perturbations, such as
primordial gravitational waves from cosmic inflation, or by
gravitational lensing of E-modes. Detecting B-modes is crucial
for testing inflationary models and probing the presence of
early-universe gravitational waves. So far results are
very preliminary.
| |