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CCCC – p. 25<br />
Models of quantum space-time<br />
(Weak) relation with doubly special relativity.<br />
[MB, G Paily: arXiv:1212.4773 ]<br />
Holonomy-deformation interpreted as version of κ-Poincaré:<br />
−→ Linear N and ⃗w and flat space produce Poincaré if β = 1.<br />
−→ For β ≠ 1, dependence on extrinsic curvature takes <strong>the</strong> form<br />
of non-linear energy dependence at boundaries.<br />
−→ However, this version does not act on standard κ-Minkowski.<br />
Background independence and form of quantum space-time<br />
remain unclear in loop quantum gravity.<br />
Homogeneous models and most extensions do not grasp<br />
quantum space-time structure.<br />
Not an approximation: just anomalous.