Loop Quantum Gravity Dynamics: Models and Applications

Vilensky, Ilya

Loop Quantum Gravity Dynamics: Models and Applications

Ilya Vilensky
(
- Florida Atlantic U.
)

2019

235 pages

Supervisor:

Jonathan Engle
(
- Florida Atlantic U.
)

Thesis: PhD

Florida Atlantic U.

(2019)

pdflinks

reference search0 citations

Citations per year

0 Citations

Abstract: (submitter)

In this dissertation we study the dynamics of loop quantum gravity and its applications. We propose a tunneling phenomenon of a black hole-white hole transition and derive an amplitude for such transition using the spinfoam framework. We investigate a special class of kinematical states for loop quantum gravity - Bell spin networks - and show that their entanglement entropy obeys the area law. We develop a new spinfoam vertex amplitude that has the correct semi-classical limit. We then apply this new amplitude to calculate the graviton propagator and a cosmological transition amplitude. The results of these calculations show feasibility of computations with the new amplitude and its viability as a spinfoam model. Finally, we use physical principles to radically constrain ambiguities in the cosmological dynamics and derive unique Hamiltonian dynamics for Friedmann-Robertson-Walker and Bianchi I cosmologies.

Quantum gravity
Loop quantum gravity
Cosmology
Spinfoam
quantum gravity: loop space
spin: foam
entropy: entanglement
graviton: propagator
spin: network
cosmological model

References(208)

Figures(0)

[1]

Zeitschrift für Physik 56, 1

W. Heisenberg
,
W. Pauli

[2]

M. Bronshtein

- Zh.Eksp.Teor.Fiz. 6 (1936) 195

[3]

in Spectroscopic and Group Theoretical Methods in Physics: Racah Memorial Volume, by Bloch, F. and Cohen, S. G. (eds.) and de-Shalit, A. and Sambursky, S and Talmi, I Publishing Co., Amsterdam,) pp. 1-58

G. Ponzano
,
T. Regge

[4]

Ponzano-Regge model revisited I: Gauge fixing, observables and interacting spinning particles

- Class.Quant.Grav. 21 (2004) 5685-5726
•
e-Print:
- hep-th/0401076
•
DOI:
- 10.1088/0264-9381/21/24/002

[5]

Quantum Theory of Angular Momentum Singapore,)

D.A. Varshalovich
,
A.N. Moskalev
,
V.K. Khersonskii

[6]

Coherent spin-networks

Eugenio Bianchi
(
- Marseille, CPT
)
,
Elena Magliaro
(
- Marseille, CPT
)
,
Claudio Perini
(
- Marseille, CPT and
- Rome III U.
)

- Phys.Rev.D 82 (2010) 024012
•
e-Print:
- 0912.4054
•
DOI:
- 10.1103/PhysRevD.82.024012

[7]

Covariant Loop Quantum Gravity, Cambridge Monographs on Mathematical Physics (Cambridge University Press, Cambridge,)

C. Rovelli
,
F. Vidotto

[8]

Observation of Gravitational Waves from a Binary Black Hole Merger

LIGO Scientific and
Virgo

Collaborations

•

B.P. Abbott
(
- Caltech
)

et al.

- Phys.Rev.Lett. 116 (2016) 6, 061102
•
e-Print:
- 1602.03837
•
DOI:
- 10.1103/PhysRevLett.116.061102

[9]

Dynamical horizons and their properties

Abhay Ashtekar
(
)
,
Badri Krishnan
(
)

- Phys.Rev.D 68 (2003) 104030
•
e-Print:
- gr-qc/0308033
•
DOI:
- 10.1103/PhysRevD.68.104030

[10]

The Life of the Cosmos (Oxford University Press, Oxford,)

L. Smolin

[11]

High energy radiation from white holes

- Nature 251 (1974) 5476, 590-591
•
DOI:
- 10.1038/251590a0

[12]

in The Second Marcel Grossmann Meeting on the Recent Developments of General Relativity (In Honor of Albert Einstein) Trieste, Italy, July 5-11,p. 0455