Suggested Topics for Extra Credit Paper
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
Vilenkin's Cosmic Vision a Review Essay of Emmany Worlds in One
Vilenkin's Cosmic Vision A Review Essay of emMany Worlds in One The Search for Other Universesem, by Alex Vilenkin William Lane Craig Used by permission of Philosophia Christi 11 (2009): 231-8. SUMMARY Vilenkin's recent book is a wonderful popular introduction to contemporary cosmology. It contains provocative discussions of both the beginning of the universe and of the fine-tuning of the universe for intelligent life. Vilenkin is a prominent exponent of the multiverse hypothesis, which features in the book's title. His defense of this hypothesis depends in a crucial and interesting way on conflating time and space. His claim that his theory of the quantum creation of the universe explains the origin of the universe from nothing trades on a misunderstanding of "nothing." VILENKIN'S COSMIC VISION A REVIEW ESSAY OF EMMANY WORLDS IN ONE THE SEARCH FOR OTHER UNIVERSESEM, BY ALEX VILENKIN The task of scientific popularization is a difficult one. Too many authors think that it is to be accomplished by frequent resort to explanatorily vacuous and obfuscating metaphors which leave the reader puzzling over what exactly a particular theory asserts. One of the great merits of Alexander Vilenkin's book is that he shuns this route in favor of straightforward, simple explanations of key terms and ideas. Couple that with a writing style that is marvelously lucid, and you have one of the best popularizations of current physical cosmology available from one of its foremost practitioners. Vilenkin vigorously champions the idea that we live in a multiverse, that is to say, the causally connected universe is but one domain in a much vaster cosmos which comprises an infinite number of such domains. -
Exploring Cosmic Strings: Observable Effects and Cosmological Constraints
EXPLORING COSMIC STRINGS: OBSERVABLE EFFECTS AND COSMOLOGICAL CONSTRAINTS A dissertation submitted by Eray Sabancilar In partial fulfilment of the requirements for the degree of Doctor of Philosophy in Physics TUFTS UNIVERSITY May 2011 ADVISOR: Prof. Alexander Vilenkin To my parents Afife and Erdal, and to the memory of my grandmother Fadime ii Abstract Observation of cosmic (super)strings can serve as a useful hint to understand the fundamental theories of physics, such as grand unified theories (GUTs) and/or superstring theory. In this regard, I present new mechanisms to pro- duce particles from cosmic (super)strings, and discuss their cosmological and observational effects in this dissertation. The first chapter is devoted to a review of the standard cosmology, cosmic (super)strings and cosmic rays. The second chapter discusses the cosmological effects of moduli. Moduli are relatively light, weakly coupled scalar fields, predicted in supersymmetric particle theories including string theory. They can be emitted from cosmic (super)string loops in the early universe. Abundance of such moduli is con- strained by diffuse gamma ray background, dark matter, and primordial ele- ment abundances. These constraints put an upper bound on the string tension 28 as strong as Gµ . 10− for a wide range of modulus mass m. If the modulus coupling constant is stronger than gravitational strength, modulus radiation can be the dominant energy loss mechanism for the loops. Furthermore, mod- ulus lifetimes become shorter for stronger coupling. Hence, the constraints on string tension Gµ and modulus mass m are significantly relaxed for strongly coupled moduli predicted in superstring theory. Thermal production of these particles and their possible effects are also considered. -
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 -
Module 2—Evidence for God from Contemporary Science (Irish Final)
Module 2—Evidence for God from Contemporary Science (Irish Final) Intro There is a long and strong relationship between the natural sciences and the Catholic Church. At least 286 priests and clergy were involved in the development of all branches of the natural sciences,1 and the Catholic Church hosts an Academy of Sciences with 46 Nobel Prize Winners as well as thousands of University and high school science departments, astronomical observatories and scientific institutes throughout the world (see Module III Section V). This should not be surprising, because as we saw in the previous Module most of the greatest scientific minds throughout history were believers (theists), and today, 51% of scientists are declared believers, as well as 88% of physicians. This gives rise to the question, “if scientists and physicians are evidence-based people, why are the majority of scientists and physicians believers?” What is their evidence? Many scientists, such as Albert Einstein and Eugene Wigner intuited clues of a divine intelligence from the wholly unexpected pervasive mathematical ordering of the universe.2 Today, the evidence for an intelligent transphysical creator is stronger than ever before despite the proliferation of many hypothetical new models of physical reality which at first seem to suggest the non-necessity of a creator. These new models include a multiverse, universes in the higher dimensional space of string theory, and multidimensional bouncing universes. So, what is this evidence that points to an intelligent creator even of multiverses, string universes, and multi- dimensional bouncing universes? There are 3 principal areas of evidence, each of which will be discussed in this Module: 1. -
SUSY, Landscape and the Higgs
SUSY, Landscape and the Higgs Michael Dine Department of Physics University of California, Santa Cruz Workshop: Nature Guiding Theory, Fermilab 2014 Michael Dine SUSY, Landscape and the Higgs A tension between naturalness and simplicity There have been lots of good arguments to expect that some dramatic new phenomena should appear at the TeV scale to account for electroweak symmetry breaking. But given the exquisite successes of the Model, the simplest possibility has always been the appearance of a single Higgs particle, with a mass not much above the LEP exclusions. In Quantum Field Theory, simple has a precise meaning: a single Higgs doublet is the minimal set of additional (previously unobserved) degrees of freedom which can account for the elementary particle masses. Michael Dine SUSY, Landscape and the Higgs Higgs Discovery; LHC Exclusions So far, simplicity appears to be winning. Single light higgs, with couplings which seem consistent with the minimal Standard Model. Exclusion of a variety of new phenomena; supersymmetry ruled out into the TeV range over much of the parameter space. Tunings at the part in 100 1000 level. − Most other ideas (technicolor, composite Higgs,...) in comparable or more severe trouble. At least an elementary Higgs is an expectation of supersymmetry. But in MSSM, requires a large mass for stops. Michael Dine SUSY, Landscape and the Higgs Top quark/squark loop corrections to observed physical Higgs mass (A 0; tan β > 20) ≈ In MSSM, without additional degrees of freedom: 126 L 124 GeV H h m 122 120 4000 6000 8000 10 000 12 000 14 000 HMSUSYGeVL Michael Dine SUSY, Landscape and the Higgs 6y 2 δm2 = t m~ 2 log(Λ2=m2 ) H −16π2 t susy So if 8 TeV, correction to Higgs mass-squred parameter in effective action easily 1000 times the observed Higgs mass-squared. -
The Reason Series: What Science Says About God
Teacher’s Resource Manual The Reason Series: What Science Says About God By Robert J. Spitzer, S.J., Ph.D. and Claude LeBlanc, M.A. Nihil Obstat: Reverend David Leigh, S.J., Ph.D. July 6, 2012 Imprimatur: Most Reverend Tod D. Brown Bishop of Orange, California July 11, 2012 Magis Center of Reason and Faith www.magiscenter.com USCCB Approval: The USCCB Subcommittee for Catechetical Conformity gives approval only for curricula, text book series, teacher’s manuals, or student workbooks that concern a whole course of studies. Partial curricula and programs may obtain ecclesiastical approval by imprimatur from the local Bishop. Since The Reason Series is such a partial curriculum its ecclesiastical approval by the USCCB is validated by the imprimatur. Cover art by Jim Breen Photos: Photos from the Hubble Telescope: courtesy NASA, PD-US Stephen Hawking (page 19): courtesy NASA, PD-US Galileo (page 20): PD-Art Arno Penzias (page 25): courtesy Kartik J, GNU Free Documentation License Aristotle (page 41): courtesy Eric Gaba, Creative Commons Albert Einstein (page 49): PD-Art Georges Lemaitre (page 49): PD-Art Alexander Vilenkin (page 51): courtesy Lumidek, Creative Commons Alan Guth (page 51): courtesy Betsy Devine, Creative Commons Roger Penrose (page 71): PD-Art Paul Davies (page 71): courtesy Arizona State University, PD-Art Sir Arthur Eddington (page 92): courtesy Library of Congress, PD-US Revision © 2016 Magis Institute (Garden Grove, California) All Rights Reserved No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the written permission of the author. -
Time in Cosmology
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Philsci-Archive Time in Cosmology Craig Callender∗ C. D. McCoyy 21 August 2017 Readers familiar with the workhorse of cosmology, the hot big bang model, may think that cosmology raises little of interest about time. As cosmological models are just relativistic spacetimes, time is under- stood just as it is in relativity theory, and all cosmology adds is a few bells and whistles such as inflation and the big bang and no more. The aim of this chapter is to show that this opinion is not completely right...and may well be dead wrong. In our survey, we show how the hot big bang model invites deep questions about the nature of time, how inflationary cosmology has led to interesting new perspectives on time, and how cosmological speculation continues to entertain dramatically different models of time altogether. Together these issues indicate that the philosopher interested in the nature of time would do well to know a little about modern cosmology. Different claims about time have long been at the heart of cosmology. Ancient creation myths disagree over whether time is finite or infinite, linear or circular. This speculation led to Kant complaining in his famous antinomies that metaphysical reasoning about the nature of time leads to a “euthanasia of reason”. But neither Kant’s worry nor cosmology becoming a modern science succeeded in ending the speculation. Einstein’s first model of the universe portrays a temporally infinite universe, where space is edgeless and its material contents unchanging. -
Creation Ex Nihilo: Theology and Science William Lane Craig
Creation ex nihilo: Theology and Science William Lane Craig SUMMARY The biblical doctrine of temporal creation ex nihilo has received strong scientific confirmation from post-relativistic physics. Two lines of evidence point to an absolute beginning of the universe: the expansion of the universe and the thermodynamics of the universe. In each case attempts to maintain a past-eternal universe have become increasingly difficult to defend. Given the beginning of the universe, the question arises as to how the universe could have come into being. Attempts by some physicists to maintain that physics can explain the origin of the universe from nothing either trade on an equivocal use of the term “nothing” or else are guilty of philosophical faux pas. Supernatural creation ex nihilo is the better explanation. CREATION EX NIHILO: THEOLOGY AND SCIENCE Introduction “In the beginning God created the heavens and the earth” (Gen. 1.1). With majestic simplicity the author of the opening chapter of Genesis thus differentiated his viewpoint, not only from the ancient creation myths of Israel’s neighbors, but also effectively from pantheism, such as is found in religions like Vedanta Hinduism and Taoism, from panentheism, whether of classical neo- Platonist vintage or twentieth-century process theology, and from polytheism, ranging from ancient paganism to contemporary Mormonism. The biblical writers give us to understand that the universe had a temporal origin and thus imply creatio ex nihilo in the temporal sense that God brought the universe into being without a material cause at some point in the finite past. [1] Moreover, the Church Fathers, though heavily influenced by Greek thought, dug in their heels concerning the doctrine of creation, sturdily insisting on the temporal creation of the universe ex nihilo in opposition to the prevailing Hellenistic doctrine of the eternity of matter. -
Traversing Cosmological Singularities, Complete Journeys Through Spacetime Including Antigravity
Traversing Cosmological Singularities Complete Journeys Through Spacetime Including Antigravity ∗ Itzhak Bars Department of Physics and Astronomy, University of Southern California, Los Angeles, CA 90089-0484, USA A unique description of the Big Crunch-Big Bang transition is given at the classical gravity level, along with a complete set of homogeneous, isotropic, analytic solutions in scalar-tensor cosmology, with radiation and curvature. All solutions repeat cyclically; they have been obtained by using conformal gauge symmetry (Weyl symmetry) as a powerful tool in cosmology, and more generally in gravity. The significance of the Big Crunch-Big Bang transition is that it provides a model inde- pendent analytic resolution of the singularity, as an unambiguous and unavoidable solution of the equations at the classical gravitational physics level. It is controlled only by geometry (including anisotropy) and only very general features of matter coupled to gravity, such as kinetic energy of a scalar field, and radiation due to all forms of relativistic matter. This analytic resolution of the singularity is due to an attractor mechanism created by the leading terms in the cosmological equa- tion. It is unique, and it is unavoidable in classical relativity in a geodesically complete geometry. Its counterpart in quantum gravity remains to be understood. I. INTRODUCTION AND SUMMARY OF RESULTS Resolving the big bang singularity is one of the central challenges for fundamental physics and cosmology. The issue arises naturally in the context of classical relativity due to the geodesically incomplete nature of the singular spacetime [1]-[2]. The resolution may not be completed until the physics is understood in the context of quantum gravity. -
The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big
View metadata, citation and similar papers at core.ac.uk brought to you by CORE The Ekpyrotic Universe: Colliding Branes and the Origin ofprovided the by CERN Document Server Hot Big Bang Justin Khoury1,BurtA.Ovrut2,PaulJ.Steinhardt1 and Neil Turok 3 1 Joseph Henry Laboratories, Princeton University, Princeton, NJ 08544, USA 2 Department of Physics, University of Pennsylvania, Philadelphia, PA 19104-6396, USA 3 DAMTP, CMS, Wilberforce Road, Cambridge, CB3 0WA, UK Abstract We propose a cosmological scenario in which the hot big bang universe is produced by the collision of a brane in the bulk space with a bounding orb- ifold plane, beginning from an otherwise cold, vacuous, static universe. The model addresses the cosmological horizon, flatness and monopole problems and generates a nearly scale-invariant spectrum of density perturbations with- out invoking superluminal expansion (inflation). The scenario relies, instead, on physical phenomena that arise naturally in theories based on extra di- mensions and branes. As an example, we present our scenario predominantly within the context of heterotic M-theory. A prediction that distinguishes this scenario from standard inflationary cosmology is a strongly blue gravitational wave spectrum, which has consequences for microwave background polariza- tion experiments and gravitational wave detectors. Typeset using REVTEX 1 I. INTRODUCTION The Big Bang model provides an accurate account of the evolution of our universe from the time of nucleosynthesis until the present, but does not address the key -
Job Feldbrugge
Job Leon Feldbrugge University of Waterloo [email protected] Perimeter Institute http://www.perimeterinstitute.ca/personal/jfeldbrugge 31 Caroline Street North Waterloo ON N2L 2Y5, Canada Phone: (+1) 519-569-7600 x6610 Current position 2019 - present Postdoc at the Perimeter Institute (Canada) and Carnegie Mellon University (United States) Areas of specialization Theoretical astronomy • Theoretical cosmology: the early and late time universe • Mathematical physics Education 2015 - 2019 PHD Physics, Perimeter Institute, University of Waterloo Advisor: Neil Turok Thesis: Path integrals in the sky: Classical and quantum problems with minimal assumptions Defence date: October 17, 2019 2014 - 2015 MasteR Part III Mathematics (with distinction), University of Cambridge Committee: Paul Shellard and Tommaso Giannantonio Thesis: Primordial non-Gaussianity and large-scale structure 2012 - 2014 MasteR Physics (cum laude), van Swinderen Institute, University of Groningen 2012 - 2014 MasteR Astronomy (cum laude), Kapteyn Institute, University of Groningen 2012 - 2014 MasteR Mathematics (cum laude), Bernoulli Institute, University of Groningen Committee: Rien van de Weygaert (cosmology and large-scale structure formation) Diederik Roest (string cosmology) Aernout van Enter (statistical mechanics) Thesis: Statistics of caustics in large-scale structure formation 2009 - 2012 BacHeloR Physics (cum laude), van Swinderen Institute, University of Groningen 2009 - 2012 BacHeloR Astronomy (cum laude), Kapteyn Institute, University of Groningen -
A Classical, Non-Singular, Bouncing Universe
Prepared for submission to JCAP A classical, non-singular, bouncing universe Özenç Güngör,a and Glenn D. Starkmana aISO/CERCA/Department of Physics, Case Western Reserve University, Cleveland, OH 44106-7079 E-mail: [email protected], [email protected] Abstract. We present a model for a classical, non-singular bouncing cosmology without violation of the null energy condition (NEC). The field content is General Relativity plus a real scalar field with a canonical kinetic term and only renormalizable, polynomial-type self-interactions for the scalar field in the Jordan frame. The universe begins vacuum-energy dominated and is contracting at t = −∞. We consider a closed universe with a positive spatial curvature, which is responsible for the universe bouncing without any NEC violation. An Rφ2 coupling between the Ricci scalar and the scalar field drives the scalar field from arXiv:2011.05133v2 [gr-qc] 12 Jan 2021 the initial false vacuum to the true vacuum during the bounce. The model is sub-Planckian throughout its evolution and every dimensionful parameter is below the effective-field-theory scale MP , so we expect no ghost-type or tachyonic instabilities. This model solves the horizon problem and extends co-moving particle geodesics to past infinity, resulting in a geodesically complete universe without singularities. We solve the Friedman equations and the scalar-field equation of motion numerically, and analytically under certain approximations. Keywords: cosmic singularity, alternatives to inflation, physics of the early universe, initial conditions and eternal universe 1 Introduction The Inflationary Big-Bang model, our standard model of cosmology, has had notable and numerous observational successes over the last several decades.