Aspects of quantum gravity phenomenology

Simple item page
dc.contributor.authorDeb, Soumen
dc.contributor.supervisorDas, Saurya
dc.date.accessioned2015-05-05T21:15:25Z
dc.date.available2015-05-05T21:15:25Z
dc.date.issued2015
dc.degree.levelMastersen_US
dc.description.abstractQuantum gravity effects modify the Heisenberg's uncertainty principle to the generalized uncertainty principle (GUP). Earlier work showed that the GUP-induced corrections to the Schrödinger equation, when applied to a non-relativistic particle in a one-dimensional box, led to the quantization of length. Similarly, corrections to the Klein-Gordon and the Dirac equations, gave rise to length, area and volume quantizations. These results suggest a fundamental granular structure of space and the existence of a minimum measurable length. This thesis investigates how spacetime curvature and gravity might influence this discreteness of space. In particular, by adding a weak background gravitational field to the above three quantum equations, it is shown that quantization of lengths, areas and volumes continue to hold. Although the nature of this new quantization is quite complex, under proper limits, it reduces to cases without gravity. These results indicate the universality of quantum gravity effects.en_US
dc.embargoNoen_US
dc.identifier.urihttps://hdl.handle.net/10133/3677
dc.language.isoen_CAen_US
dc.proquest.subject0599en_US
dc.proquestyesYesen_US
dc.publisherLethbridge, Alta. : University of Lethbridge, Dept. of Physics and Astronomyen_US
dc.publisher.departmentDepartment Physics and Astronomyen_US
dc.publisher.facultyArts and Scienceen_US
dc.relation.ispartofseriesThesis (University of Lethbridge. Faculty of Arts and Science)en_US
dc.subjectquantum gravityen_US
dc.subjectDirac equationen_US
dc.subjectstring theoryen_US
dc.subjectrelativistic quantum mechanicsen_US
dc.subjectquantum mechanicsen_US
dc.titleAspects of quantum gravity phenomenologyen_US
dc.typeThesisen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
DEB_SOUMEN_MSC_2015.pdf
Size:
609.45 KB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
Arts and Science, Faculty of
University of Lethbridge Theses