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Lambda-CDM model

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The Lambda-CDM model is the primary mathematical framework used to describe the history and structure of our universe. It is often called the standard model of Big Bang cosmology. This model is essential because it provides a consistent explanation for many different astronomical observations. It accounts for the existence of the cosmic microwave background, which is leftover radiation from the early universe. It also explains how galaxies are distributed across space and the specific amounts of hydrogen, helium, and lithium found in the cosmos. By using this model, scientists can map the evolution of the universe from its earliest moments to the present day.

The model relies on three fundamental postulates regarding the nature of spacetime. First, it follows the cosmological principle, which states that the universe is the same everywhere and in all directions. Second, it uses a postulate by Hermann Weyl, suggesting that lines of spacetime intersect at only one point where time can be synchronized. Third, it relies on general relativity, which is the theory relating the geometry of spacetime to the distribution of matter and energy. These principles allow scientists to use the Friedmann equations. These equations describe how the scale factor of the universe changes based on the density and pressure of its contents.

The Lambda-CDM model is defined by three major components that shape the universe. The first is ordinary matter, also known as baryons. This includes the atoms, gas, and plasma that form stars and planets. The second component is cold dark matter, or CDM. This is a type of matter that does not interact with light and moves slowly compared to the speed of light. The third component is the cosmological constant, represented by the Greek letter Lambda (Λ). This represents dark energy, a force associated with the vacuum of empty space that causes the expansion of the universe to accelerate.

In the late 1990s, this model emerged as a "concordance cosmology." Before this time, different observations of the universe seemed to contradict one another. Scientists could not agree on the makeup of the universe's energy density. The Lambda-CDM model resolved these conflicts by bringing disparate data together into one cohesive system. Since its emergence, it has successfully modeled a wide collection of astronomical observations over several decades. While it is the standard, some remaining scientific issues continue to challenge its assumptions and lead to new alternative models.

Specific measurements allow us to understand the exact proportions of the universe's contents. According to 2018 data from the Planck satellite and the Dark Energy Survey, dark energy makes up about 68.3% of the mass-energy density. Cold dark matter accounts for approximately 26.5% of the total density. Ordinary matter is much rarer, comprising only about 4.9% of the universe. Interestingly, most of this ordinary matter is actually unseen. Visible stars and gas account for less than 10% of the total ordinary matter contribution. These precise numbers are vital for calculating the expansion history of the cosmos.

The history of the universe begins with the Big Bang, an event where spacetime abruptly appeared. This was not an explosion, but a sudden expansion containing radiation at temperatures around 10^15 K. Immediately following this, within 10^-29 seconds, a process called cosmic inflation occurred. This was an extremely rapid expansion that multiplied the scale of the universe by a factor of 10^27 or more. This inflation explains the tiny irregularities, or perturbations, seen in the cosmic microwave background. These perturbations are the seeds that eventually grew into the large-scale structures of galaxies we see today.

Understanding the Lambda-CDM model requires looking at how the universe expands over time. This expansion is measured by a dimensionless scale factor. As space expands, light from distant galaxies undergoes a Doppler shift known as redshift. This shift occurs because the light travels across expanding space, changing its wavelength. This expansion increases the distance between objects that are not held together by gravity. However, this expansion does not increase the size of individual objects like galaxies. The model helps scientists calculate the age of the universe and the rate at which it continues to grow.

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