What is k-Minkowski spacetime, and .

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What is k-Minkowski spacetime, and.....

In http://www.physorg.com/news157203574.html, k-Minkowski spacetime, which decreases down towards zero at small scales, is mentioned as a possible tool in a theory of quantum gravity and spacetime. But it is very, very vague. First, how is k-Minkowski space-time defined, and where precisely would it enter? Is the "k" here the same as the "q" in the description of the quantum group given in http://en.wikipedia.org/wiki/Quantum_group#Drinfel.27d-Jimbo_type_quantum_groups? Roughly what role would such fractional spacetime play? An explanation for a non-physicist (but with a mathematical background) would be greatly appreciated.
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