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The Physics of Star Trek the Physics of Star Trek
The Physics of Star Trek The Physics of Star Trek The Physics of Star Trek The Physics of Star Trek FOREWORD Stephen Hawking I was very pleased that Data decided to call Newton, Einstein, and me for a game of poker aboard the Enterprise. Here was my chance to turn the tables on the two great men of gravity, particularly Einstein, who didn't believe in chance or in God playing dice. Unfortunately, I never collected my winnings because the game had to be abandoned on account of a red alert. I contacted Paramount studios afterward to cash in my chips, but they didn't know the exchange rate. Science fiction like Star Trek is not only good fun but it also serves a serious purpose, that of expanding the human imagination. We may not yet be able to boldly go where no man (or woman) has gone before, but at least we can do it in the mind. We can explore how the human spirit might respond to future developments in science and we can speculate on what those developments might be. There is a two-way trade between science fiction and science. Science fiction suggests ideas that scientists incorporate into their theories, but sometimes science turns up notions that are stranger than any science fiction. Black holes are an example, greatly assisted by the inspired name that the physicist John Archibald Wheeler gave them. Had they continued with their original names of “frozen stars” or “gravitationally completely collapsed objects,” there wouldn't have been half so much written about them. -
Spacetime Geometry from Graviton Condensation: a New Perspective on Black Holes
Spacetime Geometry from Graviton Condensation: A new Perspective on Black Holes Sophia Zielinski née Müller München 2015 Spacetime Geometry from Graviton Condensation: A new Perspective on Black Holes Sophia Zielinski née Müller Dissertation an der Fakultät für Physik der Ludwig–Maximilians–Universität München vorgelegt von Sophia Zielinski geb. Müller aus Stuttgart München, den 18. Dezember 2015 Erstgutachter: Prof. Dr. Stefan Hofmann Zweitgutachter: Prof. Dr. Georgi Dvali Tag der mündlichen Prüfung: 13. April 2016 Contents Zusammenfassung ix Abstract xi Introduction 1 Naturalness problems . .1 The hierarchy problem . .1 The strong CP problem . .2 The cosmological constant problem . .3 Problems of gravity ... .3 ... in the UV . .4 ... in the IR and in general . .5 Outline . .7 I The classical description of spacetime geometry 9 1 The problem of singularities 11 1.1 Singularities in GR vs. other gauge theories . 11 1.2 Defining spacetime singularities . 12 1.3 On the singularity theorems . 13 1.3.1 Energy conditions and the Raychaudhuri equation . 13 1.3.2 Causality conditions . 15 1.3.3 Initial and boundary conditions . 16 1.3.4 Outlining the proof of the Hawking-Penrose theorem . 16 1.3.5 Discussion on the Hawking-Penrose theorem . 17 1.4 Limitations of singularity forecasts . 17 2 Towards a quantum theoretical probing of classical black holes 19 2.1 Defining quantum mechanical singularities . 19 2.1.1 Checking for quantum mechanical singularities in an example spacetime . 21 2.2 Extending the singularity analysis to quantum field theory . 22 2.2.1 Schrödinger representation of quantum field theory . 23 2.2.2 Quantum field probes of black hole singularities . -
Black Holes Are Quantum Complete
Black holes are quantum complete Marc Michael Schneider Munchen¨ 2018 Black holes are quantum complete Marc Michael Schneider Dissertation an der Fakult¨at fur¨ Physik der Ludwig{Maximilians{Universit¨at Munchen¨ vorgelegt von Marc Michael Schneider aus Trier Munchen,¨ den 6. August 2018 Erstgutachter: Prof. Dr. Stefan Hofmann Zweitgutachter: Prof. Dr. Peter Mayr Tag der mundlichen¨ Prufung:¨ 14. September 2018 Only those who will risk going too far can possibly find out how far one can go. { Thomas Stearns Eliot { (Preface to Transit of Venus: Poems) Contents Zusammenfassung xi Abstract xiii 1. Concerning singularities 1 2. The fellowship of completeness 7 2.1. Classical completeness . .7 2.2. Quantum mechanical completeness . .9 2.3. Quantum-mechanical versus classical completeness . 14 2.4. Geodesic completeness . 17 2.5. Quantum-mechanical probes of space-time singularities . 21 3. The two singularities 27 3.1. The gravitational singularity . 28 3.2. The generalised Kasner singularity . 36 4. The return of regularity 45 4.1. The Schr¨odinger representation of quantum field theory . 46 4.1.1. Functional calculus . 47 4.1.2. Flat space-time formulation . 50 4.1.3. Curved space-time formulation . 59 4.2. The quantum completeness criterion . 66 viii Contents 4.3. Quantum probing of Schwarzschild . 72 4.3.1. Ground state analysis . 73 4.3.2. Gaussian deviations: Excited states . 79 4.3.3. Influence of polynomial self-interactions . 84 4.3.4. Stress-energy tensor of quantum probes . 91 4.4. Charge conservation inside the black hole . 96 4.5. Quantum probing of the Kasner space-time . -
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. -
Starship Recognition Manual 5
r SPACEDOCK i STARSHIP RECOGNITION MANUAL - VOLUMEy FIVE SHIPS OF THE ROMULAN STAR EMPIREq n l m b v “AH, ROMULUS. HOW WELL I REMEMBER IT. YOU WILL FIND THE PREDOMINANT COLOUR TO BE GREY– THE BUILDINGS, THE CLOTHES, THE PEOPLE. DID YOU KNOW THAT THE ROMULAN HEART, ITSELF, IS GREYc?” -ELIM GARAK, “INTER ARMA ENIM SILENT LEGES”f d ship recognition manual volume five SHIPS OF THE ROMULAN STAR EMPIRE THE SHIP RECOGNITION MANUAL, VOLUME FIVE: STARSHIPS OF THE ROMULAN STAR EMPIRE Author: Steven S. Long Icon System™ Design: Christian Moore, Steven S. Long with Kenneth Hite, Ross Isaacs Layout: Chris Huth Special Thanks To: Yves Sakai, for even more tapes from Hawaii; Chris Huth, for doing a stellar job with the layout; and Don “the Man” Mappin and Owen Oulton, for making this book available via TrekRPG.Net. Special thanks also to all the Spacedock fans who have waited patiently for about two years now (Er, five years – Ed.) while I found the time to finish this book! Although I’ve been happily chugging along with my Hero-ic pursuits in that period, I’m glad I was finally able to complete the Romulan SRM. Testreaders: My thanks to the fans who took the time to read over the manuscript for this book and help me make it better still: Andreas Bodensohn; Fred Davis; William Elstob; Joe Flynn; Tim Freeby; Dan Gurden; Matt Hegarty; Craig Johnson; Scott MacGregor; Alexan- dre Maier; Russell McKenry; Phoenix Merrick; Peter Michalenka; Doug Odell; Chris Patrick; Ben Pollack; Bill Ramsey; Jody Rich; Dale Russell; Daniel Ryba; Michael Scott; Paul “Legate Legion” Short; SIRSIG; Daniel Stack; N. -
2007 EDITION STARFLEET MARINE CORPS Xenostudies Romulan Manual
2007 EDITION STARFLEET MARINE CORPS Xenostudies Romulan Manual 2007 Edition This manual is published by the STARFLEET Marine Corps, a component of STARFLEET, the International Star Trek Fan Association, Inc., and released under the Creative Commons Attribution-NonCommercial-NoDerivs 2.5 License (http://creativecommons.org/licenses/by- nc-nd/2.5/). You may freely copy, distribute, display, and perform this manual, but all other uses are strictly prohibited unless written permission is received from the Commandant or Deputy Commandant, STARFLEET Marine Corps. The STARFLEET Marine Corps holds no claims to any trademarks, copyrights, or other properties held by Paramount, other such companies or individuals. Published: May 2007 XR Manual Contents Part 1 - Introduction ��������������������������������������������������������1 Copyright and Disclaimer ��������������������������������������������������������������������������������������� 1 Pronoun Disclaimer ����������������������������������������������������������������������������������������������� 1 Acknowledgements ������������������������������������������������������������������������������������������������ 1 Reporting Authority ����������������������������������������������������������������������������������������������� 1 Part 2 - The Romulan Star Empire ������������������������������������2 Ch’Rihan ���������������������������������������������������������������������������������������������������������������� 3 Ch’Havran �������������������������������������������������������������������������������������������������������������� -
Hyperspace (Science Fiction) 1 Hyperspace (Science Fiction)
Hyperspace (science fiction) 1 Hyperspace (science fiction) Hyperspace is a plot device sometimes used in science fiction. It is typically described as an alternate region of space co-existing with our own universe which may be entered using an energy field or other device. Travel in hyperspace is frequently depicted as faster-than-light travel in normal space. Hyperspace is sometimes used to enable and explain faster than light (FTL) travel in science fiction stories where FTL is necessary for interstellar travel or intergalactic travel. Spacecraft able to use hyperspace for FTL travel are sometimes said to have a hyperdrive. Detailed descriptions of the mechanisms of hyperspace travel are often provided in stories using the plot device, sometimes incorporating some actual physics such as relativity or string theory in order to create the illusion of a seemingly plausible explanation. Hyperspace travel is nevertheless a fictional technology. Authors may develop alternative names for hyperspace in their works, such as the Immaterium (used in Warhammer 40,000), slip space in the Halo universe, Z space in Animorphs, or "Underspace" (U-space), commonly referred to in the works of Neal Asher. Normal space In normal 3-D space, the "shortest path" between two events A and B is found in the following way. First, look at all paths in 4-D space-time between A and B, and find the space-time path that takes the shortest time to traverse. Because of relativity, there is no such thing as universal time: so let the time be measured with respect to a clock whose motion matches the space-time path. -
Raychaudhuri Equation at the Crossroads
Digitized by the Internet Archive in 2018 with funding from Public.Resource.Org https://archive.org/details/raychaudhuriequaOOunse Special issue on Raychaudhuri equation at the crossroads . Special Issue on Raychaudhuri equation at the crossroads Guest Editors Naresh Dadhich Pankaj Joshi Probir Roy Published by Indian Academy of Sciences Bangalore © 2007 Indian Academy of Sciences Reprinted from Pramana - J. Phys. Vol. 69, No. 1, July 2007 ISSN No. 0304-4289 Edited by Naresh Dadhich, Pankaj Joshi and Probir Roy and printed for the Indian Academy of Sciences by Tholasi Prints, Bangalore Contents Preface. 1 A little reminiscence.A K Raychaudhuri 3 A K Raychaudhuri and his equation.JEhlers 1 On the Raychaudhuri equation.George F R Ellis 15 Singularity: Raychaudhuri equation once again.Naresh Dadhich 23 A singularity theorem based on spatial averages.J MM Senovilla 31 The Raychaudhuri equations: A brief review. .Sayan Kar and Soumitra SenGupta 49 Black hole dynamics in general relativity.Abhay Ashteker 77 String theory and cosmological singularities.Sumit R Das 93 Horizons in 2+1-dimensional collapse of particles. .Dieter Brill, Puneet Khetarpal and Vijay Kaul 109 On the genericity of spacetime singularities.Pankaj S Joshi 119 On a Raychaudhuri equation for hot gravitating fluids. .Chandrasekhar Mukku, Swadesh MMahajan and Bindu A Bambah 137 Raychaudhuri equation in quantum gravitational optics. .N Ahmadi and M Nouri-Zonoz 147 ; ' - M 11H111 ■ ■ - | 1 I ..•.. B..I._I ■ ■ Preface In 1953 something extraordinary happened at the Indian Association for the Cultivation of Science in Calcutta. Amal Kumar Raychaudhuri, twenty-seven years of age and employed ungainfuily as a scientific assistant at the Experimen¬ tal X-ray Section, made a startling theoretical discovery in General Relativity (GR).