Built on

P. Donà, M. Fanizza, G. Sarno, and S. Speziale, “Numerical study of the Lorentzian EPRL spin foam amplitude,” arXiv:1903.12624
Original
1903
Earlier work this paper cites.
Israel Program for Scientific Translations, 1962
A. P. Yutsis, V. Vanagas, and I. B. Levinson, Mathematical apparatus of the theory of angular momentum · 1962
Earlier work this paper cites.
W. A. Benjamin, Inc., New York, 1970
W. Ruhl, Lorentz group and harmonic analysis · 1970
Earlier work this paper cites.
J. B. Hartle and S. W. Hawking, “Wave function of the Universe,” Physical Review D
1983
Earlier work this paper cites.
World Scientific, 1988
D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of Angular Momentum · 1988
Earlier work this paper cites.
D. N. Page, “Average entropy of a subsystem,” Physical Review Letters
1993
Earlier work this paper cites.
S. Popescu, A. J. Short, and A. Winter, “Entanglement and the foundations of statistical mechanics,” Nature Physics
2006
Earlier work this paper cites.

Similar

E. R. Livine and S. Speziale, “New spinfoam vertex for quantum gravity,” Physical Review D
Original
2007
Cited alongside, same era.
J. Engle, E. R. Livine, R. Pereira, and C. Rovelli, “LQG vertex with finite Immirzi parameter,” Nuclear Physics B
Original
2008
Cited alongside, same era.
J. W. Barrett, R. J. Dowdall, W. J. Fairbairn, H. Gomes, and F. Hellmann, “Asymptotic analysis of the Engle-Pereira-Rovelli-Livine four-simplex amplitude,” Journal of Mathematical Physics
Original
2009
Cited alongside, same era.
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Original
2010
Cited alongside, same era.
L. Freidel and S. Speziale, “Twisted geometries: A geometric parametrization of 𝖲𝖴 ⁡ ( 2 ) \mathsf{SU}(2) phase space,” Physical Review D

Then

J. Puchta, “Asymptotic of Lorentzian Polyhedra Propagator,” (2013), arXiv:1307.4747
Original
2013
Later among the works it cites.
Cambridge University Press, Cambridge, 2015
C. Rovelli and F. Vidotto, Covariant loop quantum gravity: An elementary introduction to quantum gravity and spinfoam theory · 2015
Later among the works it cites.
S. Speziale, “Boosting Wigner’s nj-symbols,” Journal of Mathematical Physics
Original
2017
Later among the works it cites.
B. Baytaş, E. Bianchi, and N. Yokomizo, “Gluing polyhedra with entanglement in Loop Quantum Gravity,” Physical Review D
Original
2018
Later among the works it cites.
P. Donà, M. Fanizza, G. Sarno, and S. Speziale, “ 𝖲𝖴 ⁡ ( 2 ) \mathsf{SU}(2) graph invariants, Regge actions and polytopes,” Classical and Quantum Gravity
Original

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2019

Primordial fluctuations from quantum gravity

Gozzini, Francesco, Vidotto, Francesca

Understand

We study fluctuations and correlations between spacial regions, generated by the primordial quantum gravitational phase of the universe.

We do so by a numerical evaluation of Lorentzian amplitudes in Loop Quantum Gravity, in a non-semiclassical regime.
We find that the expectation value of the quantum state of the geometry emerging from the early quantum phase of the universe is a homogeneous space but fluctuations are very large and correlations are strong, although not maximal.
In particular, this suggests that early quantum gravitational effects could be sufficient to solve the cosmological horizon problem.

Built on

P. Donà, M. Fanizza, G. Sarno, and S. Speziale, “Numerical study of the Lorentzian EPRL spin foam amplitude,” arXiv:1903.12624
Original
1903
Earlier work this paper cites.
Israel Program for Scientific Translations, 1962
A. P. Yutsis, V. Vanagas, and I. B. Levinson, Mathematical apparatus of the theory of angular momentum · 1962
Earlier work this paper cites.
W. A. Benjamin, Inc., New York, 1970
W. Ruhl, Lorentz group and harmonic analysis · 1970
Earlier work this paper cites.
J. B. Hartle and S. W. Hawking, “Wave function of the Universe,” Physical Review D
1983
Earlier work this paper cites.
World Scientific, 1988
D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of Angular Momentum · 1988
Earlier work this paper cites.
D. N. Page, “Average entropy of a subsystem,” Physical Review Letters
1993
Earlier work this paper cites.
S. Popescu, A. J. Short, and A. Winter, “Entanglement and the foundations of statistical mechanics,” Nature Physics
2006
Earlier work this paper cites.

Similar

E. R. Livine and S. Speziale, “New spinfoam vertex for quantum gravity,” Physical Review D
Original
2007
Cited alongside, same era.
J. Engle, E. R. Livine, R. Pereira, and C. Rovelli, “LQG vertex with finite Immirzi parameter,” Nuclear Physics B
Original
2008
Cited alongside, same era.
J. W. Barrett, R. J. Dowdall, W. J. Fairbairn, H. Gomes, and F. Hellmann, “Asymptotic analysis of the Engle-Pereira-Rovelli-Livine four-simplex amplitude,” Journal of Mathematical Physics
Original
2009
Cited alongside, same era.
E. Bianchi, C. Rovelli, and F. Vidotto, “Towards spinfoam cosmology,” Physical Review D
Original
2010
Cited alongside, same era.
L. Freidel and S. Speziale, “Twisted geometries: A geometric parametrization of 𝖲𝖴 ⁡ ( 2 ) \mathsf{SU}(2) phase space,” Physical Review D

Then

J. Puchta, “Asymptotic of Lorentzian Polyhedra Propagator,” (2013), arXiv:1307.4747
Original
2013
Later among the works it cites.
Cambridge University Press, Cambridge, 2015
C. Rovelli and F. Vidotto, Covariant loop quantum gravity: An elementary introduction to quantum gravity and spinfoam theory · 2015
Later among the works it cites.
S. Speziale, “Boosting Wigner’s nj-symbols,” Journal of Mathematical Physics
Original
2017
Later among the works it cites.
B. Baytaş, E. Bianchi, and N. Yokomizo, “Gluing polyhedra with entanglement in Loop Quantum Gravity,” Physical Review D
Original
2018
Later among the works it cites.
P. Donà, M. Fanizza, G. Sarno, and S. Speziale, “ 𝖲𝖴 ⁡ ( 2 ) \mathsf{SU}(2) graph invariants, Regge actions and polytopes,” Classical and Quantum Gravity
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2010

Cited alongside, same era.

E. Bianchi, P. Donà, and S. Speziale, “Polyhedra in loop quantum gravity,” Physical Review D

Original

2011

Cited alongside, same era.

E. F. Borja, I. Garay, and F. Vidotto, “Learning about Quantum Gravity with a couple of nodes,” Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Original

2012

Cited alongside, same era.

E. Bianchi, P. Donà, and I. Vilensky, “Entanglement entropy of Bell-network states in LQG: Analytical and numerical results,” arXiv:1812.10996

Original

Cited in the paper.

H. T. Johansson and C. Forssén, “Fast and accurate evaluation of Wigner 3 j 3j , 6 j 6j , and 9 j 9j symbols using prime factorisation and multi-word integer arithmetic,” SIAM Journal on Scientific Computing

Original

Cited in the paper.

F. Collet, “A (simple) expression of the unitary irreducible 𝖲𝖫 ⁡ ( 2 , ℂ ) \mathsf{SL}(2,\mathbb{C}) representations as a finite sum of exponentials”, in preparation

Cited in the paper.

2018

Later among the works it cites.

P. Donà and G. Sarno, “Numerical methods for EPRL spin foam transition amplitudes and Lorentzian recoupling theory,” General Relativity and Gravitation

Original

2018

Later among the works it cites.