The Quantum Multiverse
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A Quantum Focussing Conjecture Arxiv:1506.02669V1 [Hep-Th]
Prepared for submission to JHEP A Quantum Focussing Conjecture Raphael Bousso,a;b Zachary Fisher,a;b Stefan Leichenauer,a;b and Aron C. Wallc aCenter for Theoretical Physics and Department of Physics, University of California, Berkeley, CA 94720, U.S.A. bLawrence Berkeley National Laboratory, Berkeley, CA 94720, U.S.A. cInstitute for Advanced Study, Princeton, NJ 08540, USA Abstract: We propose a universal inequality that unifies the Bousso bound with the classical focussing theorem. Given a surface σ that need not lie on a horizon, we define a finite generalized entropy Sgen as the area of σ in Planck units, plus the von Neumann entropy of its exterior. Given a null congruence N orthogonal to σ, the rate of change of Sgen per unit area defines a quantum expansion. We conjecture that the quantum expansion cannot increase along N. This extends the notion of universal focussing to cases where quantum matter may violate the null energy condition. Integrating the conjecture yields a precise version of the Strominger-Thompson Quantum Bousso Bound. Applied to locally parallel light-rays, the conjecture implies a Quantum Null Energy Condition: a lower bound on the stress tensor in terms of the second derivative of the von Neumann entropy. We sketch a proof of this novel relation in quantum field theory. arXiv:1506.02669v1 [hep-th] 8 Jun 2015 Contents 1 Introduction2 2 Classical Focussing and Bousso Bound5 2.1 Classical Expansion5 2.2 Classical Focussing Theorem6 2.3 Bousso Bound7 3 Quantum Expansion and Focussing Conjecture8 3.1 Generalized Entropy -
Eternal Inflation and Its Implications
IOP PUBLISHING JOURNAL OF PHYSICS A: MATHEMATICAL AND THEORETICAL J. Phys. A: Math. Theor. 40 (2007) 6811–6826 doi:10.1088/1751-8113/40/25/S25 Eternal inflation and its implications Alan H Guth Center for Theoretical Physics, Laboratory for Nuclear Science, and Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA E-mail: [email protected] Received 8 February 2006 Published 6 June 2007 Online at stacks.iop.org/JPhysA/40/6811 Abstract Isummarizetheargumentsthatstronglysuggestthatouruniverseisthe product of inflation. The mechanisms that lead to eternal inflation in both new and chaotic models are described. Although the infinity of pocket universes produced by eternal inflation are unobservable, it is argued that eternal inflation has real consequences in terms of the way that predictions are extracted from theoretical models. The ambiguities in defining probabilities in eternally inflating spacetimes are reviewed, with emphasis on the youngness paradox that results from a synchronous gauge regularization technique. Although inflation is generically eternal into the future, it is not eternal into the past: it can be proven under reasonable assumptions that the inflating region must be incomplete in past directions, so some physics other than inflation is needed to describe the past boundary of the inflating region. PACS numbers: 98.80.cQ, 98.80.Bp, 98.80.Es 1. Introduction: the successes of inflation Since the proposal of the inflationary model some 25 years ago [1–4], inflation has been remarkably successful in explaining many important qualitative and quantitative properties of the universe. In this paper, I will summarize the key successes, and then discuss a number of issues associated with the eternal nature of inflation. -
A Correspondence Between Strings in the Hagedorn Phase and Asymptotically De Sitter Space
A correspondence between strings in the Hagedorn phase and asymptotically de Sitter space Ram Brustein(1), A.J.M. Medved(2;3) (1) Department of Physics, Ben-Gurion University, Beer-Sheva 84105, Israel (2) Department of Physics & Electronics, Rhodes University, Grahamstown 6140, South Africa (3) National Institute for Theoretical Physics (NITheP), Western Cape 7602, South Africa [email protected], [email protected] Abstract A correspondence between closed strings in their high-temperature Hage- dorn phase and asymptotically de Sitter (dS) space is established. We identify a thermal, conformal field theory (CFT) whose partition function is, on the one hand, equal to the partition function of closed, interacting, fundamental strings in their Hagedorn phase yet is, on the other hand, also equal to the Hartle-Hawking (HH) wavefunction of an asymptotically dS Universe. The Lagrangian of the CFT is a functional of a single scalar field, the condensate of a thermal scalar, which is proportional to the entropy density of the strings. The correspondence has some aspects in common with the anti-de Sitter/CFT correspondence, as well as with some of its proposed analytic continuations to a dS/CFT correspondence, but it also has some important conceptual and technical differences. The equilibrium state of the CFT is one of maximal pres- sure and entropy, and it is at a temperature that is above but parametrically close to the Hagedorn temperature. The CFT is valid beyond the regime of semiclassical gravity and thus defines the initial quantum state of the dS Uni- verse in a way that replaces and supersedes the HH wavefunction. -
Punctuated Eternal Inflation Via Ads/CFT
BROWN-HET-1593 Punctuated eternal inflation via AdS/CFT David A. Lowe† and Shubho Roy†♮♯∗ †Department of Physics, Brown University, Providence, RI 02912, USA ♮Physics Department City College of the CUNY New York, NY 10031, USA and ♯Department of Physics and Astronomy Lehman College of the CUNY Bronx, NY 10468, USA Abstract The work is an attempt to model a scenario of inflation in the framework of Anti de Sit- ter/Conformal Field theory (AdS/CFT) duality, a potentially complete nonperturbative description of quantum gravity via string theory. We look at bubble geometries with de Sitter interiors within an ambient Schwarzschild anti-de Sitter black hole spacetime and obtain a characterization for the states in the dual CFT on boundary of the asymptotic AdS which code the expanding dS bubble. These can then in turn be used to specify initial conditions for cosmology. Our scenario naturally interprets the entropy of de Sitter space as a (logarithm of) subspace of states of the black hole microstates. Consistency checks are performed and a number of implications regarding cosmology are discussed including how the key problems or paradoxes of conventional eternal inflation are overcome. arXiv:1004.1402v1 [hep-th] 8 Apr 2010 ∗Electronic address: [email protected], [email protected] 1 I. INTRODUCTION Making contact with realistic cosmology remains the fundamental challenge for any can- didate unified theory of matter and gravity. Precise observations [1, 2] indicate that the current epoch of the acceleration of universe is driven by a very mild (in Planck units) neg- ative pressure, positive energy density constituent - “dark energy”. -
Yasunori Nomura
Yasunori Nomura UC Berkeley; LBNL Why is the universe as we see today? ― Mathematics requires — “We require” Dramatic change of the view Our universe is only a part of the “multiverse” … suggested both from observation and theory This comes with revolutionary change of the view on spacetime and gravity • Holographic principle • Horizon complementarity • Multiverse as quantum many worlds • … … implications on particle physics and cosmology Shocking news in 1998 Supernova cosmology project; Supernova search team Universe is accelerating! ≠ 0 ! Particle Data Group (2010) 2 2 4 4 … natural size of ≡ MPl (naively) ~ MPl (at the very least ~ TeV ) Observationally, -3 4 120 ~ (10 eV) Naïve estimates O(10 ) too large Also, ~ matter — Why now? Nonzero value completely changes the view ! 4 Natural size for vacuum energy ~ MPl 4 • 4 -MPl 0 -120 4 MPl ,obs ~10 MPl Unnatural (Note: = 0 is NOT special from theoretical point of view) Wait! Is it really unnatural to observe this value? • No observer0 No observer It is quite “natural” to observe ,obs, as long as different values of are “sampled” Weinberg (’87) Many universes ─ multiverse ─ needed • String landscape Compact (six) dimensins ex. O(100) fields with O(10) minima each → huge number of vacua → O(10100) vacua • Eternal inflation Inflation is (generically) future eternal → populate all the vacua Anthropic considerations mandatory (not an option) Full of “miracles” Examples: • yu,d,e v ~ QCD ~ O(0.01) QCD … otherwise, no nuclear physics or chemistry (Conservative) estimate of the probability: P « 10-3 • Baryon ~ DM …. Some of them anthropic (and some may not) Implications? • Observational / experimental (test, new scenarios, …) • Fundamental physics (spacetime, gravity, …) Full of “miracles” Examples: • yu,d,e v ~ QCD ~ O(0.01) QCD … otherwise, no nuclear physics or chemistry (Conservative) estimate of the probability: P « 10-3 • Baryon ~ DM …. -
Modelling Insight to Ball Eyes for Higher Dimensional Hyperspace Vision
Physical Science & Biophysics Journal MEDWIN PUBLISHERS ISSN: 2641-9165 Committed to Create Value for Researchers Modelling Insight to Ball Eyes for Higher Dimensional Hyperspace Vision Shaikh S* Letter to Editor Aditya Institute of Management Studies and Research (AIMSR), India Volume 5 Issue 2 Received Date: July 16, 2021 Sadique Shaikh, Aditya Institute of Management Studies and *Corresponding author: Published Date: July 26, 2021 Research (IMSR), Jalgaon, India, Email: [email protected] DOI: 10.23880/psbj-16000183 Letter to Editor To understand this complicated conceptual idea let Quality vision even some animals, reptiles, birds and insect has good vision as compare to human eyes. To understand me begin first with the definition of VISION and then after toDIMENSIONS create animated (Figure CONSCIOUSNESS 1). The Vision inis theability help to ofacquire Brain “Dimensional-Vision” some depicts as given below. callsurrounding Observable with Life,input Planet,light, shapes, Universe places, and color Multiverse. to brain and Control to enhance, develop and shape planet earth and Equally Vision also important to grow Brain Intelligence term Dimensions as the ability of Eyes to scan surrounding at present observable Universe. Now I would like to define possibleavailable anglesVision and with geometry Left, Right, and Top,provide Bottom, data toReflection, Brain to Rotation, Transformation, Spinning and Diagonal with all universe and multiverse. For our understanding purpose create high definition Consciousness of environment, planet, understand are 3D Three-Dimensional World as X-Axis, we labeled the Dimensions which we (Human) can see and TIME and Brain create 3D consciousness using X, Y and Z Y-Axis and Z-Axis with additional fourth Dimension virtually Figure 1: has ability to see in three dimensions hence very easily can Axis’s Vision Data after input processed. -
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 . -
The Anthropic Principle and Multiple Universe Hypotheses Oren Kreps
The Anthropic Principle and Multiple Universe Hypotheses Oren Kreps Contents Abstract ........................................................................................................................................... 1 Introduction ..................................................................................................................................... 1 Section 1: The Fine-Tuning Argument and the Anthropic Principle .............................................. 3 The Improbability of a Life-Sustaining Universe ....................................................................... 3 Does God Explain Fine-Tuning? ................................................................................................ 4 The Anthropic Principle .............................................................................................................. 7 The Multiverse Premise ............................................................................................................ 10 Three Classes of Coincidence ................................................................................................... 13 Can The Existence of Sapient Life Justify the Multiverse? ...................................................... 16 How unlikely is fine-tuning? .................................................................................................... 17 Section 2: Multiverse Theories ..................................................................................................... 18 Many universes or all possible -
Teleportation
TELEPORTATION ESSAY FOR THE COURSE QUANTUM MECHANICS FOR MATHEMATICIANS ANNE VAN WEERDEN SUPERVISOR DR B.R.U. DHERIN UTRECHT UNIVERSITY JUNE 2010 PREFACE The aim of this essay is to describe the teleportation process in such a way that it will be clear what is done so far, and what is still needed, to develop a teleportation device for humans, which would be my ultimate goal. However much is done already, there are thresholds that still have to be overcome, some of which will need real ingenuity, and others brute computing power, far more than we are now capable of. But I will show why I have confidence that we will reach this goal by describing the astonishing developments in the field of teleportation and the speed with which computing, or technology, evolves. The discovery that teleportation really is possible came about while I was in my thirties, but I was largely unaware of its further developments until I started the research for this essay. Assuming that I am not the only one who did not know, I wrote this essay aimed at people from my age, in their fifties, who, like me, started out without television and computer, I even remember my Mother telling me how she bought a transistor radio for the first time, placed it in a closet and closed the door, just to be amazed that it could still receive signals and play. We saw it all come by, from the first steps on the Moon watched on the television my parents had only bought a few years earlier, I clearly remember asking my Father who, with much foresight, got us out of our beds despite my -
The Multiverse: Conjecture, Proof, and Science
The multiverse: conjecture, proof, and science George Ellis Talk at Nicolai Fest Golm 2012 Does the Multiverse Really Exist ? Scientific American: July 2011 1 The idea The idea of a multiverse -- an ensemble of universes or of universe domains – has received increasing attention in cosmology - separate places [Vilenkin, Linde, Guth] - separate times [Smolin, cyclic universes] - the Everett quantum multi-universe: other branches of the wavefunction [Deutsch] - the cosmic landscape of string theory, imbedded in a chaotic cosmology [Susskind] - totally disjoint [Sciama, Tegmark] 2 Our Cosmic Habitat Martin Rees Rees explores the notion that our universe is just a part of a vast ''multiverse,'' or ensemble of universes, in which most of the other universes are lifeless. What we call the laws of nature would then be no more than local bylaws, imposed in the aftermath of our own Big Bang. In this scenario, our cosmic habitat would be a special, possibly unique universe where the prevailing laws of physics allowed life to emerge. 3 Scientific American May 2003 issue COSMOLOGY “Parallel Universes: Not just a staple of science fiction, other universes are a direct implication of cosmological observations” By Max Tegmark 4 Brian Greene: The Hidden Reality Parallel Universes and The Deep Laws of the Cosmos 5 Varieties of Multiverse Brian Greene (The Hidden Reality) advocates nine different types of multiverse: 1. Invisible parts of our universe 2. Chaotic inflation 3. Brane worlds 4. Cyclic universes 5. Landscape of string theory 6. Branches of the Quantum mechanics wave function 7. Holographic projections 8. Computer simulations 9. All that can exist must exist – “grandest of all multiverses” They can’t all be true! – they conflict with each other. -
The Philosophy and Physics of Time Travel: the Possibility of Time Travel
University of Minnesota Morris Digital Well University of Minnesota Morris Digital Well Honors Capstone Projects Student Scholarship 2017 The Philosophy and Physics of Time Travel: The Possibility of Time Travel Ramitha Rupasinghe University of Minnesota, Morris, [email protected] Follow this and additional works at: https://digitalcommons.morris.umn.edu/honors Part of the Philosophy Commons, and the Physics Commons Recommended Citation Rupasinghe, Ramitha, "The Philosophy and Physics of Time Travel: The Possibility of Time Travel" (2017). Honors Capstone Projects. 1. https://digitalcommons.morris.umn.edu/honors/1 This Paper is brought to you for free and open access by the Student Scholarship at University of Minnesota Morris Digital Well. It has been accepted for inclusion in Honors Capstone Projects by an authorized administrator of University of Minnesota Morris Digital Well. For more information, please contact [email protected]. The Philosophy and Physics of Time Travel: The possibility of time travel Ramitha Rupasinghe IS 4994H - Honors Capstone Project Defense Panel – Pieranna Garavaso, Michael Korth, James Togeas University of Minnesota, Morris Spring 2017 1. Introduction Time is mysterious. Philosophers and scientists have pondered the question of what time might be for centuries and yet till this day, we don’t know what it is. Everyone talks about time, in fact, it’s the most common noun per the Oxford Dictionary. It’s in everything from history to music to culture. Despite time’s mysterious nature there are a lot of things that we can discuss in a logical manner. Time travel on the other hand is even more mysterious. -
Sacred Rhetorical Invention in the String Theory Movement
University of Nebraska - Lincoln DigitalCommons@University of Nebraska - Lincoln Communication Studies Theses, Dissertations, and Student Research Communication Studies, Department of Spring 4-12-2011 Secular Salvation: Sacred Rhetorical Invention in the String Theory Movement Brent Yergensen University of Nebraska-Lincoln, [email protected] Follow this and additional works at: https://digitalcommons.unl.edu/commstuddiss Part of the Speech and Rhetorical Studies Commons Yergensen, Brent, "Secular Salvation: Sacred Rhetorical Invention in the String Theory Movement" (2011). Communication Studies Theses, Dissertations, and Student Research. 6. https://digitalcommons.unl.edu/commstuddiss/6 This Article is brought to you for free and open access by the Communication Studies, Department of at DigitalCommons@University of Nebraska - Lincoln. It has been accepted for inclusion in Communication Studies Theses, Dissertations, and Student Research by an authorized administrator of DigitalCommons@University of Nebraska - Lincoln. SECULAR SALVATION: SACRED RHETORICAL INVENTION IN THE STRING THEORY MOVEMENT by Brent Yergensen A DISSERTATION Presented to the Faculty of The Graduate College at the University of Nebraska In Partial Fulfillment of Requirements For the Degree of Doctor of Philosophy Major: Communication Studies Under the Supervision of Dr. Ronald Lee Lincoln, Nebraska April, 2011 ii SECULAR SALVATION: SACRED RHETORICAL INVENTION IN THE STRING THEORY MOVEMENT Brent Yergensen, Ph.D. University of Nebraska, 2011 Advisor: Ronald Lee String theory is argued by its proponents to be the Theory of Everything. It achieves this status in physics because it provides unification for contradictory laws of physics, namely quantum mechanics and general relativity. While based on advanced theoretical mathematics, its public discourse is growing in prevalence and its rhetorical power is leading to a scientific revolution, even among the public.