Exact Classical Correspondence in Quantum Cosmology?

In summary: Right, Garth, another interesting piece of work gradualy adding plausibility to a non-accelerating universe in the present epoch.
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Garth
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A paper published in 'Gravitation and Cosmology', [21, 208 (2015)] and on today's physics ArXiv claims to have found a solution to the Wheeler-DeWitt equation that exactly corresponds to the classical evolution of a Friedmann model with appropriate matter/energy density: Exact Classical Correspondence in Quantum Cosmology, interestingly it states:
It is of particular interest to note that for the open case in this scenario, after the inflationary epoch, the universe enters a coasting evolution
a ∝ t and continues to expand in this fashion. The spontaneous creation of the coasting universe obtained in the present paper from nothing is an attractive problem worth pursuing.

Garth
 
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Garth said:
A paper published in 'Gravitation and Cosmology', [21, 208 (2015)] and on today's physics ArXiv claims to have found a solution to the Wheeler-DeWitt equation that exactly corresponds to the classical evolution of a Friedmann model with appropriate matter/energy density: Exact Classical Correspondence in Quantum Cosmology, interestingly it states:

Garth
After the inflationary era? Pretty sure that would run afoul of primordial nucleosynthesis observations.
 
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Chalnoth said:
After the inflationary era? Pretty sure that would run afoul of primordial nucleosynthesis observations.
Yes, he doesn't look at the CMB - or nucleosynthesis for that matter - perhaps there is work to be done on this model!

To be explicit, it is important to try alternative approaches in tentative 'toy models' that may not be able immediately to explain all observations, while explaining others, because they may be modified into a concordant model at a later date.

Garth
 
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If the time was NOW and THEN, could it be true that LHC's primordial soup is the one that was in the beginning? What if we are in the beginning and the end?
 
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Alex Kostko said:
If the time was NOW and THEN, could it be true that LHC's primordial soup is the one that was in the beginning? What if we are in the beginning and the end?
Hi Alex and welcome to these Forums!

However you will have to rephrase your question so that it makes sense - I can't tell whether you are 'coming or going'!

The LHC, although it does attain the highest energies/temperatures anywhere seen on Earth - especially under laboratory conditions - is nowhere near as energetic as the Inflation era.

Inflation is thought to take place from about t ~ 10-36 until 10-33-10-32 seconds after the 'BB' when the energy scale was around 1016 GeV or 10−3 times the Planck energy. By contrast the present enhanced LHC is capable of around 14 Tev or 14 x 103 GeV - some 12 orders of magnitude less.

Garth
 
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Right, Garth, another interesting piece of work gradualy adding plausibility to a non-accelerating universe in the present epoch.
 
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Related to Exact Classical Correspondence in Quantum Cosmology?

1. What is the concept of Exact Classical Correspondence in Quantum Cosmology?

Exact Classical Correspondence in Quantum Cosmology is the idea that the laws of classical physics, such as Newton's laws, should emerge from the fundamental principles of quantum mechanics in the context of cosmology. This means that in certain regions of the universe, where quantum effects are negligible, the behavior of matter and energy should follow classical laws.

2. How does Exact Classical Correspondence relate to the study of the early universe?

Exact Classical Correspondence is of particular interest in the study of the early universe. This is because at the beginning of the universe, quantum effects were dominant, and as the universe expanded and cooled, these effects gradually became less significant. Therefore, understanding how classical physics emerges from quantum mechanics can help explain the behavior of the early universe.

3. What are some challenges in achieving Exact Classical Correspondence in Quantum Cosmology?

One of the main challenges in achieving Exact Classical Correspondence is the lack of a complete theory of quantum gravity. While we have successful theories of quantum mechanics and classical physics, there is currently no unified theory that can accurately describe both at the same time. This makes it difficult to understand how classical physics can emerge from quantum mechanics in the context of cosmology.

4. How is Exact Classical Correspondence tested or validated?

Exact Classical Correspondence can be tested and validated through experiments and observations. By comparing the predictions of classical physics with the behavior of matter and energy in regions of the universe where quantum effects are negligible, we can see if they align. Additionally, theoretical models and simulations can also be used to test the concept of Exact Classical Correspondence.

5. Are there any potential applications of Exact Classical Correspondence?

Exact Classical Correspondence has potential applications in various fields, such as cosmology, astrophysics, and quantum computing. By understanding how classical physics emerges from quantum mechanics, we can gain a better understanding of the fundamental laws of the universe and potentially develop new technologies based on quantum principles.

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