Small variations in temperature in the early universe that acted as periodic pushes to amplify axion production.In the early universe, just after the Big Bang, the cosmos was a hot, dense soup of particles and radiation. Although the universe is now remarkably smooth on large scales, it was not perfectly uniform then. There were tiny variations in temperature from one region to another—fluctuations on the order of one part in 100,000. These temperature fluctuations are the seeds of all cosmic structure: the slight overdensities they represent eventually grew through gravity into galaxies and clusters of galaxies.
The existence of temperature fluctuations in the cosmic microwave background (CMB) was first detected by the COBE satellite in 1992, a discovery that earned the Nobel Prize in Physics for George Smoot and John Mather. The detailed statistical properties of these fluctuations were later mapped with great precision by the WMAP and Planck missions.
These fluctuations are thought to originate from quantum mechanical jitters during a period of rapid expansion called inflation. During inflation, quantum fluctuations in the field driving the expansion were stretched to macroscopic scales, imprinting a nearly scale-invariant pattern of density variations. After inflation, these variations became temperature differences in the primordial plasma. In the context of axion production, these temperature fluctuations act as periodic 'pushes'—spatial and temporal variations in energy density that can resonantly amplify the production of axions, a hypothetical dark matter candidate, through a process analogous to parametric resonance.
Temperature fluctuations in the CMB are a primary source of cosmological data. By analyzing their statistical distribution, cosmologists can determine the composition, geometry, and expansion history of the universe, and constrain models of inflation and dark matter, including axions.
The temperature fluctuations in the CMB are so small that they correspond to a difference of only about 0.00003 degrees Kelvin, yet they are the blueprint for every galaxy cluster in the observable universe.
| ΔT/T | variable | Relative temperature fluctuation of CMB — temperature fluctuation |
| Φ | variable | Gravitational potential perturbation — gravitational potential metre squared per second squared |
| η | variable | Conformal time — conformal time second |
| ∫ | operator | Integrates over conformal time along the photon path — integral |
| dot | operator | Derivative with respect to conformal time — time derivative |













