Primodial Curvature Perturbation Equation

In summary, "horizon entry" refers to a specific time during inflation when the scale factor is growing faster than the Hubble radius, causing a perturbation wavelength to become larger than the Hubble radius. This has no connection to decoupling.
  • #1
deadringer
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This equation gives us (delta (rho))/rho (which I understand is the fractional perturbation in the energy density), at the time of "horizon entry" (which I'm unsure about). Does this mean the time that decoupling occured?
 
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  • #2
"Horizon entry" has nothing to do with decoupling. Almost by the definition of inflation, during inflation the scale factor is growing faster than the Hubble radius - so a given perturbation wavelength will eventually become larger than the Hubble radius. Conversely, after inflation the scale factor is growing more slowly than the Hubble radius - so that same scale will once again be smaller than the Hubble radius. That's 'horizon entry'.
 

1. What is the Primodial Curvature Perturbation Equation?

The Primodial Curvature Perturbation Equation is a mathematical equation used in cosmology to describe the evolution of the initial fluctuations in the density of matter in the universe. It explains how these initial fluctuations, also known as primordial perturbations, grew and led to the formation of structures such as galaxies and galaxy clusters.

2. How is the Primodial Curvature Perturbation Equation derived?

The Primodial Curvature Perturbation Equation is derived from the equations of general relativity and the theory of cosmological inflation. It takes into account the effects of gravity, expansion of the universe, and quantum fluctuations during the early stages of the universe.

3. What role does the Primodial Curvature Perturbation Equation play in cosmology?

The Primodial Curvature Perturbation Equation is a fundamental equation in cosmology as it helps explain the distribution and formation of structures in the universe. It is used in various models and theories, such as the inflationary model and the Big Bang model, to understand the early universe and its evolution.

4. What are the implications of the Primodial Curvature Perturbation Equation?

The Primodial Curvature Perturbation Equation has important implications for our understanding of the universe and its origins. It provides insights into the initial conditions of the universe and how it has evolved over time. It also helps us test and refine theories of cosmology and understand the nature of dark matter and dark energy.

5. How is the Primodial Curvature Perturbation Equation used in current research?

The Primodial Curvature Perturbation Equation is used in various research fields, such as cosmology, astrophysics, and particle physics. It is used to make predictions about the distribution of matter and the cosmic microwave background radiation, which can be compared to observations from telescopes and experiments. It is also used to study the effects of different parameters and models on the evolution of the universe.

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