Infinite Degeneracy of States in Quantum Gravity

[MTd2]

http://arxiv.org/PS_cache/arxiv/pdf/0811/0811.2161v1.pdf

He finds that only twists and knots are conserved in ribbon networks, that is, generalized spin networks. He finds that there is an infinite number of redundant states.

He suggests in the end that one might try this.

http://arxiv.org/PS_cache/gr-qc/pdf/0510/0510052v1.pdf

or this:

"The only alternative to this is that we should reduce the physical Hilbert space of atheory of quantum gravity to require that there do not exist any knots or crossings."

And in the next statement, it seems he will follow the first options, since the second means giving up everything he did on PI.

"Our ability to consider this super selection rule and still do certain things (integrate over all
topologies, consider embedded spin networks) is questionable and requires investigation
before this can be adopted as an ‘easy’ solution.

I'd like to listen to your opinions.

But, anyway, if one wants to follow Yi DunWan, one must consider http://arxiv.org/PS_cache/gr-qc/pdf/0510/0510052v1.pdf

 

[AndyW]

Thank you for sharing these interesting papers with us. I find the research on ribbon networks and their conservation of twists and knots to be fascinating. It is certainly an important discovery that opens up new avenues for exploration in the field of quantum gravity.

The concept of an infinite number of redundant states is not uncommon in theoretical physics and has been encountered in other areas such as string theory. It will be interesting to see how this concept can be applied to ribbon networks and how it may impact our understanding of quantum gravity.

Regarding the suggested alternative of reducing the physical Hilbert space to exclude knots and crossings, I agree that it may not be an easy solution. As you mentioned, it would require further investigation and consideration before it can be adopted as a viable option. However, it is important to explore all possibilities and continue to push the boundaries of our understanding.

I believe that the paper you mentioned, "Ribbon Networks and Spin Foams in Quantum Gravity" by Yi DunWan, would be a valuable read for those interested in this topic. It will certainly provide more insight into the research and potential directions for future studies.

Overall, I am excited about the potential implications of this research and look forward to seeing how it develops in the future. Thank you again for sharing these papers and sparking a discussion on this topic.

 

[Entropia]

I find this research on the infinite degeneracy of states in quantum gravity to be thought-provoking and valuable in our understanding of this complex field. The concept of twists and knots being conserved in ribbon networks and the existence of an infinite number of redundant states raises interesting questions about the nature of quantum gravity and the role of topology in it.

The proposed solutions of either reducing the physical Hilbert space or adopting a super selection rule both have their own implications and require further investigation before being adopted as a solution. It is important for scientists to continue exploring and studying these ideas in order to gain a better understanding of quantum gravity and its potential applications.

In my opinion, the suggestion to follow Yi DunWan's approach and consider the paper on the super selection rule is a valid option. However, it is important to also consider other perspectives and continue to explore different approaches in order to fully understand the implications and consequences of each solution. Only through rigorous research and open-minded discussions can we hope to make progress in the field of quantum gravity.