03917ntm a22004213i 45000010009000000050017000090070015000260080041000410030004000820200018000860350024001040350015001280400031001431000028001742450075002022600010002772640058002873000038003453360026003833370026004093380036004355000094004715020102005655100074006675200482007415200627012235201015018505460012028655900022028776900018028996900025029177100057029427200039029998560149030389290014031879990079032019280215032801077325520151222121352.5cr un|---|||||151222s2015 miu||||||m |||||||eng dICU a9781339080031 a(MiAaPQD)AAI3724493 aAAI3724493 aMiAaPQDbengcMiAaPQDerda1 aKwon, Ohkyung,eauthor.10aInterferometric probes of Planckian quantum geometry /cKwon, Ohkyung. c2015. 1aAnn Arbor : bProQuest Dissertations & Theses, c2015 a1 electronic resource (177 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier aAdvisors: Craig J. Hogan Committee members: Son T. Dam; Emil Martinec; Stephan S. Meyer. bPh.D.cThe University of Chicago, Division of the Physical Sciences, Department of Physicsd2015.4 aDissertation Abstracts International, cVolume: 77-02(E), Section: B. aThe effect of Planck scale quantum geometrical effects on measurements with interferometers is estimated with standard physics, and with a variety of proposed extensions. It is shown that effects are negligible in standard field theory with canonically quantized gravity. Statistical noise levels are estimated in a variety of proposals for non-standard metric fluctuations, and these alternatives are constrained using upper bounds on stochastic metric fluctuations from LIGO. aIdealized models of several interferometer system architectures are used to predict signal noise spectra in a quantum geometry that cannot be described by a fluctuating metric, in which position noise arises from Planck scale holographic bounds on directional information. Specific models of holographic spatial position states are adopted to predict mathematical characteristics of a possible quantum geometric departure from perfect coherence of a classical spacetime. Predictions in this case are shown to be close to current experimental bounds from GEO-600 and projected future sensitivity for the Fermilab Holometer. aA model-independent statistical framework is also presented. This serves as a generalized method of data interpretation in systems such as the Fermilab Holometer, where the mean time derivative of positional cross correlation between world lines, a measure of geometrical quantum decoherence, is measured with a precision smaller than the Planck time. A parameterized candidate set of possible time domain correlation functions caused by holographic decoherence is shown to be consistent with the known causal structure of the classical geometry measured by an apparatus, and the holographic scaling of information suggested by gravity. Corresponding predicted frequency-domain power spectra are derived, and simple projections of sensitivity for specific interferometric set-ups show that measurements will directly yield constraints on a universal time derivative of the correlation function, and thereby confirm or rule out this class of Planck scale decoherence, for particular arrangements of world lines. aEnglish aSchool code: 0330 aAstrophysics. aHigh energy physics.2 aUniversity of Chicago.edegree granting institution.1 aCraig J. Hoganedegree supervisor.40uhttp://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:3724493 aeresourceffif06f8f48-394f-5842-b964-2fbab2bd002fs1b44296a-a473-578d-b479-9a4ee3138cdf tLibrary of Congress classificationlOnlinecUC-FullTextuhttp://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:3724493i9079482