Loop and central cosmo mingle (Cornish glimpses Gambini)

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SUMMARY

The discussion centers on the intersection of loop quantum gravity (LQG) and conventional mainstream cosmology, particularly through the work of Neil Cornish and Rodolfo Gambini. Cornish, known for his innovative contributions to cosmology, cites three papers from Gambini and collaborators that challenge traditional quantum mechanics by utilizing realistic physical clocks instead of idealized ones. This approach addresses the black hole information paradox and suggests a gradual rate of natural information loss, enhancing the understanding of quantum mechanics. The paper "Semi-classical limit and minimum decoherence in the Conditional Probability Interpretation of Quantum Mechanics" by Cornish and Vincent Corbin further explores these concepts.

PREREQUISITES
  • Understanding of loop quantum gravity (LQG)
  • Familiarity with quantum mechanics (QM) principles
  • Knowledge of the black hole information paradox
  • Awareness of the Conditional Probability Interpretation of Quantum Mechanics
NEXT STEPS
  • Read the paper "Semi-classical limit and minimum decoherence in the Conditional Probability Interpretation of Quantum Mechanics" by Cornish and Corbin
  • Explore the GPP papers by Gambini, Pullin, and Porto for deeper insights into realistic physical clocks
  • Investigate Carlo Rovelli's contributions to quantum gravity and his interpretations of time
  • Study the implications of decoherence in quantum mechanics and its relevance to cosmology
USEFUL FOR

Researchers in theoretical physics, cosmologists, and anyone interested in the foundations of quantum mechanics and its implications for understanding time and information loss in black holes.

marcus
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This item has connections with the definition of time, the unresolved black hole information paradox, the interpretation of quantum mechanics involving real physical clocks, loop quantum gravity, conventional mainstream cosmology. It's a small news item, in a way, perhaps just a straw in the wind---but interesting because of the many cross-field ties.

Neil Cornish is an important figure in conventional mainstream cosmology. He used to have a pet monkey*. He has co-authored a bunch with Princeton's David Spergel including some of the main WMAP reports. He's more than usually creative idea-wise, by mainstream cosmo standards, IMHO. We've discussed several of his papers here at PF. Like the "circles in the sky" one that derived a minimum size for presentday space, and constrained the topology. He does stuff that surprise you but turn out to be mathematically and observationally very solid. Edgey but not flakey. Just the sort of research you want to make a field go.

Now he is on to something that a prominent LQG guy, Rodolfo Gambini, has also been working on. This means that the 2005-2007 papers of Gambini, Pullin, and Porto are authomatically more visible. These show that if you drop the idea of a perfect classic clock (basic to conventional QM) and re-formulate QM just using realistic physical clocks**, then there is a gradual rate of natural information loss and certain puzzles are resolved.

One of the GPP authors has actually posted some on PF, and we have discussed the GPP papers some, in past years. Despite their intrinsic interest, they haven't gotten as much notice as they deserve. I can't guess why: perhaps partly because Gambini is based in Montevideo and possibly also because he belongs to the Loop research community.

Anyway now we have a sign of some research confluence. Cornish cites 3 of the GPP papers and offers a different way of proving a result similar to theirs. Quite possibly an improvement. Here's the paper:

http://arxiv.org/abs/0811.2814
Semi-classical limit and minimum decoherence in the Conditional Probability Interpretation of Quantum Mechanics
Vincent Corbin, Neil J. Cornish
8 pages
(Submitted on 17 Nov 2008)

"The Conditional Probability Interpretation of Quantum Mechanics replaces the abstract notion of time used in standard Quantum Mechanics by the time that can be read off from a physical clock. The use of physical clocks leads to apparent non-unitary and decoherence. Here we show that a close approximation to standard Quantum Mechanics can be recovered from conditional Quantum Mechanics for semi-classical clocks, and we use these clocks to compute the minimum decoherence predicted by the Conditional Probability Interpretation."

**very much as Carlo Rovelli does, actually. In his book Quantum Gravity (2004) and also in his FQXi contest essay on What is Time?
Intriguing to see these lines of thought come together.

*back in 2005, if you went to Cornish' webpage, he had a picture of himself with this rather large cinnamon-colored monkey sitting on his shoulder, both of them grinning at the camera.
 
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