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A theory of quantum gravity, which aims to merge quantum mechanics and general relativity, postulating that the structure of space is composed of finite loops woven into an extremely fine fabric or network.

2 votes
0 answers
60 views

Ad-hoc algebraic spin network quantization

In Loop Quantum Gravity, one usually embraces the functorial point of view towards (T)QFT. Canonical and spinfoam formalisms only differ in how the projection operator is defined. Canonical formalism …
Prof. Legolasov's user avatar
1 vote
0 answers
129 views

Cosmological inflation in LQG/LQC

I seek the state-of-the-art report on how cosmological inflation is described by loop quantum cosmology. I know that LQG/LQC predicts a big bounce to replace the classical big bang singularity of GR. …
Prof. Legolasov's user avatar
3 votes
1 answer
139 views

Relationship between classical $q$-deformed General Relativity and the cosmological constant

The frame-connection formulation of pure General Relativity in 4 dimensions is given by the action $$ S_{4d}[e, \omega] = \frac{1}{2 \kappa} \int \varepsilon_{IJKL} e^I \wedge e^J \wedge F^{KL}, $$ wh …
Prof. Legolasov's user avatar
12 votes
1 answer
353 views

Experimental bounds on Lorentz-violating dispersion relation

It has been predicted by several background-independent approaches to Quantum Gravity (like LQG or spinfoams) that the physical dispersion relations in vacuum could take the following form: $$ p^2 = …
2 votes
1 answer
128 views

Was $\kappa$-Minkowski model falsified by gamma ray burst measurements?

I'm considering the $\kappa$-Minkowski space – a certain model from non-commutative geometry which reduces to the usual Minkowski space in the limit $\kappa \rightarrow \infty$. The parameter $\kappa$ …
Prof. Legolasov's user avatar