Area/Entropy Laws, Traversable Wormholes, and the Connections Between Geometry and Entanglement
University of California Santa Barbara Area/Entropy Laws, Traversable Wormholes, and the Connections Between Geometry and Entanglement A dissertation submitted in partial satisfaction of the requirements for the degree Doctor of Philosophy in Physics by Brianna Michelle Grado-White Committee in charge: Professor Donald Marolf, Chair Professor Gary Horowitz Professor Claudio Campagnari September 2020 The Dissertation of Brianna Michelle Grado-White is approved. Professor Gary Horowitz Professor Claudio Campagnari Professor Donald Marolf, Committee Chair August 2020 Area/Entropy Laws, Traversable Wormholes, and the Connections Between Geometry and Entanglement Copyright c 2020 by Brianna Michelle Grado-White iii Acknowledgements Firstly, I would like to thank my advisor, Don, for not only providing guidance, support, and ideas, but also filling the halls of the sixth floor of Broida with the sounds of echoing laughter. Of course I am also grateful to the larger community of friends and colleagues at UCSB as a whole { Seth, Gabriel, and Alex for our little high energy theory community at UCSB; Marija for a final year of friendship and physics; and Eric Jones (and the rest of UDIP and WIP) for always caring about and improving the larger world around you. Finally, I would like to thank my family for always being the just the right amount of crazy and passing it along to me, as it seems to be a prerequisite for studying physics. This work was supported in part by National Science Foundation's Graduate Research Fellowship. iv Curriculum Vitæ Brianna Michelle Grado-White Education 2020 Ph.D. in Physics (Expected), University of California, Santa Bar- bara.
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