Arxiv – New States of Matter Suggested by New Topological Structures
We extend the well-known Borromean and Brunnian rings to new higher order versions. Then we suggest an extension of the connection between Efimov states in cold gases and Borromean and Brunnian rings to these new higher order links. This gives rise to a hole new hierarchy of possible states with Efimov states at the bottom.
Back in 1970, a young physicist working in the Soviet Union made a counterintutive prediction. Vitaly Efimov, now at the University of Washington in the US, showed that quantum objects that cannot form into pairs could nevertheless form into triplets.
In 2006, a group in Austria found the first example of such a so-called Efimov state in a cold gas of cesium atoms.
It would be very interesting if one could nd a connection between the topology of
these higher order links and the quantum entanglement. For a discussion of
more general manybody system interactions.Let us conclude by mentioning that it is a natural and interesting question whether
the higher order links we have introduced may be synthesized as molecules. Trefoil
knots and Borromean rings have been synthesized by very sophisticated
techniques. To synthesize higher order links is a daunting task, but for example Borromean rings of Borromean rings and other members of the families we have defi ned like kB(n1; : : : ; nk) and kH (n1; : : : ; nk) in Section 6 may be possible to synthesize by using DNA molecules and the techniques developed by Ned Seeman.
var _phPubId = ‘dkr04’;
var _phWidth = ‘300’;
var _phHeight = ‘250’;
var _phBgColor = ‘#ebebeb’; // For background color
var _phBorderColor = ‘#999999’; // For border color
var _phTextColor1 = ‘#006699’; // For Link 1 color
var _phTextColor2 = ‘#333333’; // For Link 2 color
var url = ‘http://ph.affinity.com/ph-adcloud-m.js?’ + ‘h=’+escape(location.hostname) + ‘&pb=’ + escape(_phPubId);
document.write(unescape(“%3Cscript src='” + url + “‘ type=’text/javascript’%3E%3C/script%3E”));
If you liked this article, please give it a quick review on ycombinator or StumbleUpon. Thanks
Featured articles
Ocean Floor Gold and Copper
Ocean Floor Mining Company
var MarketGidDate = new Date();
document.write(”);
Brian Wang is a Futurist Thought Leader and a popular Science blogger with 1 million readers per month. His blog Nextbigfuture.com is ranked #1 Science News Blog. It covers many disruptive technology and trends including Space, Robotics, Artificial Intelligence, Medicine, Anti-aging Biotechnology, and Nanotechnology.
Known for identifying cutting edge technologies, he is currently a Co-Founder of a startup and fundraiser for high potential early-stage companies. He is the Head of Research for Allocations for deep technology investments and an Angel Investor at Space Angels.
A frequent speaker at corporations, he has been a TEDx speaker, a Singularity University speaker and guest at numerous interviews for radio and podcasts. He is open to public speaking and advising engagements.