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The Noise of Linearized Quantum Grav...

Setti, Francesco,

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The Noise of Linearized Quantum Gravity /

Record Type:	Electronic resources : Monograph/item
Title/Author:	The Noise of Linearized Quantum Gravity // Francesco Setti.
Author:	Setti, Francesco,
Description:	1 electronic resource (109 pages)
Notes:	Source: Dissertations Abstracts International, Volume: 86-02, Section: B.
Contained By:	Dissertations Abstracts International86-02B.
Subject:	Physics. -
Online resource:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31484681
ISBN:	9798383607459

The Noise of Linearized Quantum Gravity /
Setti, Francesco,

The Noise of Linearized Quantum Gravity /Francesco Setti. - 1 electronic resource (109 pages)

Source: Dissertations Abstracts International, Volume: 86-02, Section: B.

It was recently shown that quantizing the gravitational field introduces stochastic noise in the arm length of a gravitational wave detector. This result was obtained by deriving a quantum-corrected geodesic deviation equation for timelike geodesics in linearized gravity. In the dissertation, an analysis of the effects of this quantum-gravitational noise on a congruence of timelike geodesics, and on a congruence of null geodesics is presented. The main results of this analysis are the leading order quantum corrections to the timelike and null Raychaudhuri equations. In both cases, the quantum corrections are negative, indicating that the focusing theorem also holds in linearized quantum gravity. Then, it is shown that the quantum-gravitational noise in nearby detectors is correlated. After deriving an equation of the noise correlation, this result is used to propose an experimental design capable of distinguishing the quantum-gravitational noise from other sources of noise. Additionally, the correlations in the quantum-gravitational noise between the arms of multiple gravitational wave interferometers is characterized. The last chapter of this dissertation contains the calculations for the probability amplitude of a process in which, starting from two particles described by Gaussian wave packets in momentum space, a soliton-antisoliton pair is produced.

English

ISBN: 9798383607459Subjects--Topical Terms:

516296
Physics.
Subjects--Index Terms:

Graviton

The Noise of Linearized Quantum Gravity /
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245 1 0 $a The Noise of Linearized Quantum Gravity / $c Francesco Setti.
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300 $a 1 electronic resource (109 pages)
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500 $a Source: Dissertations Abstracts International, Volume: 86-02, Section: B.
500 $a Advisors: Parikh, Maulik Committee members: Keeler, Cynthia; Easson, Damien; Vachaspati, Tanmay.
502 $b Ph.D. $c Arizona State University $d 2024.
520 $a It was recently shown that quantizing the gravitational field introduces stochastic noise in the arm length of a gravitational wave detector. This result was obtained by deriving a quantum-corrected geodesic deviation equation for timelike geodesics in linearized gravity. In the dissertation, an analysis of the effects of this quantum-gravitational noise on a congruence of timelike geodesics, and on a congruence of null geodesics is presented. The main results of this analysis are the leading order quantum corrections to the timelike and null Raychaudhuri equations. In both cases, the quantum corrections are negative, indicating that the focusing theorem also holds in linearized quantum gravity. Then, it is shown that the quantum-gravitational noise in nearby detectors is correlated. After deriving an equation of the noise correlation, this result is used to propose an experimental design capable of distinguishing the quantum-gravitational noise from other sources of noise. Additionally, the correlations in the quantum-gravitational noise between the arms of multiple gravitational wave interferometers is characterized. The last chapter of this dissertation contains the calculations for the probability amplitude of a process in which, starting from two particles described by Gaussian wave packets in momentum space, a soliton-antisoliton pair is produced.
546 $a English
590 $a School code: 0010
650 4 $a Physics. $3 516296
650 4 $a Quantum physics. $3 726746
650 4 $a Atmospheric sciences. $3 3168354
653 $a Graviton
653 $a Linearized gravity
653 $a Quantum gravity
653 $a Raychaudhuri equation
653 $a Stochastic noise
690 $a 0605
690 $a 0599
690 $a 0725
710 2 $a Arizona State University. $b Physics. $e degree granting institution. $3 3816096
720 1 $a Parikh, Maulik $e degree supervisor.
773 0 $t Dissertations Abstracts International $g 86-02B.
790 $a 0010
791 $a Ph.D.
792 $a 2024
856 4 0 $u https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31484681