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

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SUMMARY

Planck curvature refers to the radius of curvature of the universe when it is in a quantum state, as discussed in Starobinsky's paper on the spectrum of relict gravitational radiation. This concept is crucial for understanding the transition from a quantum state to classical expansion in cosmology. The term is often confused with "plank curvature," which relates to the physical bending of materials, but in this context, it specifically pertains to the curvature at the Planck scale, approximately 10^-35 meters. The significance of Planck curvature lies in its implications for the early universe's dynamics and the nature of gravitational radiation.

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  • Understanding of quantum mechanics and general relativity
  • Familiarity with cosmological models and the early universe
  • Knowledge of gravitational radiation and its properties
  • Basic grasp of the Planck scale and its implications in physics
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  • Research "Quantum Gravity and the Planck Scale" to understand the implications of Planck curvature
  • Study "Starobinsky Inflation" to explore models of cosmic expansion
  • Examine "Gravitational Waves and Their Detection" for insights into relict gravitational radiation
  • Investigate "The Role of Curvature in Cosmology" to grasp the significance of curvature in the universe's evolution
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Astronomers, physicists, cosmologists, and anyone interested in the fundamental aspects of the universe's expansion and the nature of gravitational radiation.

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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