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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.

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