## Index

-Poincaré, 2, 4

ASG, see Asymptotically Safe Gravity

Ashtekar variables, 3

Asymptotic darkness, 3

Asymptotically Safe Gravity, 3, 4, 5

Bicrossproduct, 4, 4, 4

Black hole, 2, 3, 3, 3, 4, 4

higher dimensional, 3

remnant, 4

Causal sets, 3

Classicalization, 3, 4

Clock synchronization, 3

Commutation relations, 2, 3, 4

Conformal invariance, 3

Cut-off, 2, 3

De Sitter space, 4

Deformed Special Relativity, 4, 4, 5

Dirichlet-branes, 3

Discrete spacetime, 3, 5

DSR, see Deformed Special Relativity

Finite information density, 4

Generalized uncertainty principle, 3, 3, 4, 4

to all orders, 4

GUP, see Generalized Uncertainty Principle

Hawking-radiation, 2, 4

Hoop conjecture, 3, 3, 5

Hopf algebra, 2, 4

Locality bound, 3

Loop Quantum Cosmology, 3, 5

Loop Quantum Gravity, 3, 5

Lorentz invariance, 3, 4

Lorentz-invariance, 2

LQC, see Loop Quantum Cosmology

LQG, see Loop Quantum Gravity

Maximal localization states, 4

Modified dispersion relation, 4, 5

Momentum space curvature, 4

Non-commutative geometry, 2, 3, 4, 5

Non-commutative soliton, 3

Non-locality, 4, 4, 4

Observer independence, 4

Path-integral duality, 4, 4

Phase space, 4, 4

Planck scale, 2, 3, 4

energy dependent, 3

lowered, 2, 3

Planck’s constant, 2, 4

Poisson tensor, 3

Principle of relative locality, 4, 4, 4

Pseudo-momentum, 4

Renormalizability, 2

Renormalization, 3

Renormalization group, 3

RG, see Renormalization group

Riemann surface, 3

Snyder basis, 4

Soccer-ball problem, 4

Spacetime uncertainty, 3, 4

Spectator problem, 4

Star product, 3

String scale, 3, 5

String Theory, 3

Symplectic form, 4

T-duality, 3

Thought experiment, 3

Time atoms, 2

Transplanckian problem, 2

Uncertainty principle, 3