What is Planck curvature and its significance in the expansion of the universe?

In summary, the term Planck curvature refers to the radius of curvature of the universe in a quantum state, as described by Starobinsky in his paper on relict gravitational radiation. This model suggests that the universe was perpetually in this state before entering its classical expansion stage. Additionally, there is a relativistic generalization of this concept that involves the curvature of wooden planks.
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kini.Amith
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I was reading a paper by Starobinsky on spectrum of relict gravitational radiation. He uses the term Planck curvature as follows
"We construct a model in which the universe was perpetually in the quantum state with the radius of curvature of the order of Planck curvature, and later left this state to enter the classical expansion stage."
What does this term mean?
 
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Often a wooden board will curve as it ages, if it hasn't been dried properly. This is known as plank curvature. Alternatively, ancient ship builders dried planks under stress to build hulls, resulting in plank curvature. The relativistic generalization of this adds a c.

Real answer: The following is the very first google hit for "Planck curvature". Good form asking a question here is to show some sign of having spent more than 5 seconds trying to find the answer, and framing your question in relation to the result of such effort.

https://books.google.com/books?id=HEHwCAAAQBAJ&pg=PA348&lpg=PA348&dq="planck+curvature"&source=bl&ots=nzzbLEK-b9&sig=XDKbUifB-sCbf7AKwlfEeczpXHc&hl=en&sa=X&ved=0ahUKEwikrOy0_8bMAhVJFx4KHRIiDhwQ6AEIHDAA#v=onepage&q="planck curvature"&f=false
 
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1. What is Planck curvature?

Planck curvature is a measure of the curvature of spacetime at the Planck scale, which is the smallest length scale that can be theoretically described. It is named after the physicist Max Planck, who first proposed the concept.

2. How is Planck curvature related to general relativity?

Planck curvature is a fundamental aspect of general relativity, which is the current theory of gravity. It is used to describe the curvature of spacetime near extremely massive objects, such as black holes.

3. Can Planck curvature be observed or measured?

Currently, there is no way to directly observe or measure Planck curvature due to its extremely small scale. However, it can be indirectly inferred through experiments and observations in particle physics and astrophysics.

4. What is the significance of Planck curvature?

Planck curvature is significant because it plays a crucial role in the unification of the fundamental forces of nature, specifically in theories such as string theory and loop quantum gravity. It also helps us understand the behavior of spacetime at the smallest scales.

5. Is Planck curvature a constant value?

No, Planck curvature is not a constant value. It varies depending on the energy and density of the spacetime it describes. It is also affected by other factors such as the presence of matter and energy, making it a dynamic quantity.

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