Phd. Thesis: "Observing the Unobservable: Catching a Glimpse of the Primordial Universe"
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Is the Universe Expanding?: an Historical and Philosophical Perspective for Cosmologists Starting Anew
Western Michigan University ScholarWorks at WMU Master's Theses Graduate College 6-1996 Is the Universe Expanding?: An Historical and Philosophical Perspective for Cosmologists Starting Anew David A. Vlosak Follow this and additional works at: https://scholarworks.wmich.edu/masters_theses Part of the Cosmology, Relativity, and Gravity Commons Recommended Citation Vlosak, David A., "Is the Universe Expanding?: An Historical and Philosophical Perspective for Cosmologists Starting Anew" (1996). Master's Theses. 3474. https://scholarworks.wmich.edu/masters_theses/3474 This Masters Thesis-Open Access is brought to you for free and open access by the Graduate College at ScholarWorks at WMU. It has been accepted for inclusion in Master's Theses by an authorized administrator of ScholarWorks at WMU. For more information, please contact [email protected]. IS THEUN IVERSE EXPANDING?: AN HISTORICAL AND PHILOSOPHICAL PERSPECTIVE FOR COSMOLOGISTS STAR TING ANEW by David A Vlasak A Thesis Submitted to the Faculty of The Graduate College in partial fulfillment of the requirements forthe Degree of Master of Arts Department of Philosophy Western Michigan University Kalamazoo, Michigan June 1996 IS THE UNIVERSE EXPANDING?: AN HISTORICAL AND PHILOSOPHICAL PERSPECTIVE FOR COSMOLOGISTS STARTING ANEW David A Vlasak, M.A. Western Michigan University, 1996 This study addresses the problem of how scientists ought to go about resolving the current crisis in big bang cosmology. Although this problem can be addressed by scientists themselves at the level of their own practice, this study addresses it at the meta level by using the resources offered by philosophy of science. There are two ways to resolve the current crisis. -
Inflation Without Quantum Gravity
Inflation without quantum gravity Tommi Markkanen, Syksy R¨as¨anen and Pyry Wahlman University of Helsinki, Department of Physics and Helsinki Institute of Physics P.O. Box 64, FIN-00014 University of Helsinki, Finland E-mail: tommi dot markkanen at helsinki dot fi, syksy dot rasanen at iki dot fi, pyry dot wahlman at helsinki dot fi Abstract. It is sometimes argued that observation of tensor modes from inflation would provide the first evidence for quantum gravity. However, in the usual inflationary formalism, also the scalar modes involve quantised metric perturbations. We consider the issue in a semiclassical setup in which only matter is quantised, and spacetime is classical. We assume that the state collapses on a spacelike hypersurface, and find that the spectrum of scalar perturbations depends on the hypersurface. For reasonable choices, we can recover the usual inflationary predictions for scalar perturbations in minimally coupled single-field models. In models where non-minimal coupling to gravity is important and the field value is sub-Planckian, we do not get a nearly scale-invariant spectrum of scalar perturbations. As gravitational waves are only produced at second order, the tensor-to-scalar ratio is negligible. We conclude that detection of inflationary gravitational waves would indeed be needed to have observational evidence of quantisation of gravity. arXiv:1407.4691v2 [astro-ph.CO] 4 May 2015 Contents 1 Introduction 1 2 Semiclassical inflation 3 2.1 Action and equations of motion 3 2.2 From homogeneity and isotropy to perturbations 6 3 Matching across the collapse 7 3.1 Hypersurface of collapse 7 3.2 Inflation models 10 4 Conclusions 13 1 Introduction Inflation and the quantisation of gravity. -
Effects of Primordial Chemistry on the Cosmic Microwave Background
A&A 490, 521–535 (2008) Astronomy DOI: 10.1051/0004-6361:200809861 & c ESO 2008 Astrophysics Effects of primordial chemistry on the cosmic microwave background D. R. G. Schleicher1, D. Galli2,F.Palla2, M. Camenzind3, R. S. Klessen1, M. Bartelmann1, and S. C. O. Glover4 1 Institute of Theoretical Astrophysics / ZAH, Albert-Ueberle-Str. 2, 69120 Heidelberg, Germany e-mail: [dschleic;rklessen;mbartelmann]@ita.uni-heidelberg.de 2 INAF - Osservatorio Astrofisico di Arcetri, Largo E. Fermi 5, 50125 Firenze, Italy e-mail: [galli;palla]@arcetri.astro.it 3 Landessternwarte Heidelberg / ZAH, Koenigstuhl 12, 69117 Heidelberg, Germany e-mail: [email protected] 4 Astrophysikalisches Institut Potsdam, An der Sternwarte 16, 14482 Potsdam, Germany e-mail: [email protected] Received 27 March 2008 / Accepted 3 July 2008 ABSTRACT Context. Previous works have demonstrated that the generation of secondary CMB anisotropies due to the molecular optical depth is likely too small to be observed. In this paper, we examine additional ways in which primordial chemistry and the dark ages might influence the CMB. Aims. We seek a detailed understanding of the formation of molecules in the postrecombination universe and their interactions with the CMB. We present a detailed and updated chemical network and an overview of the interactions of molecules with the CMB. Methods. We calculate the evolution of primordial chemistry in a homogeneous universe and determine the optical depth due to line absorption, photoionization and photodissociation, and estimate the resulting changes in the CMB temperature and its power spectrum. Corrections for stimulated and spontaneous emission are taken into account. -
Astronomy 422
Astronomy 422 Lecture 15: Expansion and Large Scale Structure of the Universe Key concepts: Hubble Flow Clusters and Large scale structure Gravitational Lensing Sunyaev-Zeldovich Effect Expansion and age of the Universe • Slipher (1914) found that most 'spiral nebulae' were redshifted. • Hubble (1929): "Spiral nebulae" are • other galaxies. – Measured distances with Cepheids – Found V=H0d (Hubble's Law) • V is called recessional velocity, but redshift due to stretching of photons as Universe expands. • V=H0D is natural result of uniform expansion of the universe, and also provides a powerful distance determination method. • However, total observed redshift is due to expansion of the universe plus a galaxy's motion through space (peculiar motion). – For example, the Milky Way and M31 approaching each other at 119 km/s. • Hubble Flow : apparent motion of galaxies due to expansion of space. v ~ cz • Cosmological redshift: stretching of photon wavelength due to expansion of space. Recall relativistic Doppler shift: Thus, as long as H0 constant For z<<1 (OK within z ~ 0.1) What is H0? Main uncertainty is distance, though also galaxy peculiar motions play a role. Measurements now indicate H0 = 70.4 ± 1.4 (km/sec)/Mpc. Sometimes you will see For example, v=15,000 km/s => D=210 Mpc = 150 h-1 Mpc. Hubble time The Hubble time, th, is the time since Big Bang assuming a constant H0. How long ago was all of space at a single point? Consider a galaxy now at distance d from us, with recessional velocity v. At time th ago it was at our location For H0 = 71 km/s/Mpc Large scale structure of the universe • Density fluctuations evolve into structures we observe (galaxies, clusters etc.) • On scales > galaxies we talk about Large Scale Structure (LSS): – groups, clusters, filaments, walls, voids, superclusters • To map and quantify the LSS (and to compare with theoretical predictions), we use redshift surveys. -
Dark Matter Particles with Low Mass (And FTL)
Dark Matter Particles with Low Mass (and FTL) Xiaodong Huang Department of Mathematics, University of California, Los Angeles Los Angeles, CA 90095, U.S.A. Wuliang Huang Institute of High Energy Physics, Chinese Academy of Sciences P.O. Box 918(3), Beijing 100049, China Abstract: From the observed results of the space distribution of quasars and the mass scale sequence table, we deduced the existence of superstructures (feeble dark structure) with mass scale of 1019 solar mass, as well as the lightest stable fermion with mass of 10"1 eV, in the universe. From the observed results of ultra-high energy primary cosmic ray spectrum (“knee” and “ankle”), quasar irradiation spectrum (“IR bump” and “blue bump”), and Extragalactic Background Light (“IR peak” and “blue peak”), we deduced that the mass of ! 1 ! the neutrino is about 10" eV and the mass of the fourth stable elementary particle (" ) is about 100eV. While neutrino ! is related to electro-weak field, the fourth stable elementary particle! is related to gravitation-“strong” field, and some new meta-stable baryons may appear near the TeV region. Therefore, a twofold standard model diagram is ! proposed, and! involves some experiment phenomena: The new meta-stable baryons’ ! decays produce! particles, which are helpful in explaining the Dijet asymmetry phenomena at LHC of CERN, the different results for the Fermilab’s data peak, etc; However, according to the (B-L) invariance, the sterile “neutrino” about the event excess in MiniBooNe is not the fourth neutrino but rather the! particle; We think that the! particles are related to the phenomenon about neutrinos FTL, and that anti-neutrinos are faster than neutrinos. -
Chapter 4: Linear Perturbation Theory
Chapter 4: Linear Perturbation Theory May 4, 2009 1. Gravitational Instability The generally accepted theoretical framework for the formation of structure is that of gravitational instability. The gravitational instability scenario assumes the early universe to have been almost perfectly smooth, with the exception of tiny density deviations with respect to the global cosmic background density and the accompanying tiny velocity perturbations from the general Hubble expansion. The minor density deviations vary from location to location. At one place the density will be slightly higher than the average global density, while a few Megaparsecs further the density may have a slightly smaller value than on average. The observed fluctuations in the temperature of the cosmic microwave background radiation are a reflection of these density perturbations, so that we know that the primordial density perturbations have been in the order of 10−5. The origin of this density perturbation field has as yet not been fully understood. The most plausible theory is that the density perturbations are the product of processes in the very early Universe and correspond to quantum fluctuations which during the inflationary phase expanded to macroscopic proportions1 Originally minute local deviations from the average density of the Universe (see fig. 1), and the corresponding deviations from the global cosmic expansion velocity (the Hubble expansion), will start to grow under the influence of the involved gravity perturbations. The gravitational force acting on each patch of matter in the universe is the total sum of the gravitational attraction by all matter throughout the universe. Evidently, in a homogeneous Universe the gravitational force is the same everywhere. -
The “Dipole Repeller” Explained
The “Dipole Repeller” Explained by Clark M. Thomas © 03/15/2017 Introduction Earlier this year, in 2017, a major article was published in Nature on a vast dipole gravity phenomenon now known as the Shapley Attractor and the Dipole Repeller.1 A helpful short video is included.2 Its thesis was largely based on studies of red-shift spectral data recently published on several thousands of galaxies within several hundred million light years radius.3 The four authors of this article have creatively built their cosmic model around General Relativity (GR), with inspiration from electromagnetism (EM). They hypothesize that the immense Shapley Supercluster (with the mass of about 8,000 average galaxies) is gravitationally attracting us from several hundred million light years away in the direction of the Centaurus constellation. Furthermore, somewhat closer lies what is called the Great Attractor (with mass of about 1,000 average galaxies) from the direction of the Norma and Triangulum Australe constellations. The Shapley galactic net attractive force is significantly greater than that of the Great Attractor, and together they pull our Milky Way toward them – in addition to the “Hubble’s Law” Doppler movement outward as the visible universe expands exponentially and uniformly, apparently from “Dark Energy.”4 1 http://www.nature.com/articles/s41550-016-0036 2 http://www.nature.com/article-assets/npg/natastron/2017/s41550-016-0036/extref/ s41550-016-0036-s2.mp4 3 http://iopscience.iop.org/article/10.1088/0004-6256/146/3/69/ meta;jsessionid=C2E343C6040E9038FA229EEA517C9893.c1.iopscience.cld.iop.org -
Planck 'Toolkit' Introduction
Planck ‘toolkit’ introduction Welcome to the Planck ‘toolkit’ – a series of short questions and answers designed to equip you with background information on key cosmological topics addressed by the Planck science releases. The questions are arranged in thematic blocks; click the header to visit that section. Planck and the Cosmic Microwave Background (CMB) What is Planck and what is it studying? What is the Cosmic Microwave Background? Why is it so important to study the CMB? When was the CMB first detected? How many space missions have studied the CMB? What does the CMB look like? What is ‘the standard model of cosmology’ and how does it relate to the CMB? Behind the CMB: inflation and the meaning of temperature fluctuations How did the temperature fluctuations get there? How exactly do the temperature fluctuations relate to density fluctuations? The CMB and the distribution of matter in the Universe How is matter distributed in the Universe? Has the Universe always had such a rich variety of structure? How did the Universe evolve from very smooth to highly structured? How can we study the evolution of cosmic structure? Tools to study the distribution of matter in the Universe How is the distribution of matter in the Universe described mathematically? What is the power spectrum? What is the power spectrum of the distribution of matter in the Universe? Why are cosmologists interested in the power spectrum of cosmic structure? What was the distribution of the primordial fluctuations? How does this relate to the fluctuations in the CMB? -
A873: Cosmology Course Notes VIII. Linear Fluctuations Linear
A873: Cosmology Course Notes VIII. Linear Fluctuations Linear perturbation theory in general Start with an \unperturbed" solution for quantities xi, i = 1; 2; ::: Write equations for x~i = xi + δxi: Expand, keeping terms linear in δxi, and subtracting off unperturbed solution to get equations for δxi. Hope you can solve them. In GR, the quantities xi might be metric coefficients, densities, velocities, etc. GR pertur- bation theory can be tricky for two reasons. (1) The equations are very complicated. This is a problem of practice, not of principle. (2) In a perturbed universe, the \natural" coordinate choice is no longer obvious. Different coordinate choices have different equations. Results for physically measurable quantities should be the same, but the descriptions can look quite different. For scales l cH−1 and velocities v c, one can usually get by with Newtonian linear perturbationtheory. Newtonian perturbation theory in an expanding universe (This discussion follows Peebles, pp. 111-119.) Basic unperturbed equations In an inertial frame, the equations governing the density ρ(r; t) and velocity u(r; t) of an ideal fluid are: @ρ Continuity equation : + ~ r (ρu) = 0 (mass conservation) @t r r · @u Euler equation : + (u ~ r)u = ~ rΦ (momentum conservation) @t r · r −r 2 Poisson equation : rΦ = 4πGρ. r We have ignored pressure gradients in the Euler equation. Transformation of variables We would like to have these equations in comoving coordinates x = r=a(t) with \peculiar" velocity v = u (a=a_ )r = (a_x) a_x = ax_ : − − We want to use a quantity that will be small when perturbations are small, so define the dimensionless density contrast δ(x; t) by ρ = ρb(t) [1 + δ(x; t)], ρb = background density 1=a3. -
The Distance to Ngc 4993 – the Host Galaxy of the Gravitational Wave Event Gw 170817
DRAFT VERSION OCTOBER 4, 2017 Typeset using LATEX twocolumn style in AASTeX61 THE DISTANCE TO NGC 4993 – THE HOST GALAXY OF THE GRAVITATIONAL WAVE EVENT GW 170817 JENS HJORTH,1 ANDREW J. LEVAN,2 NIAL R. TANVIR,3 JOE D. LYMAN,2 RADOSŁAW WOJTAK,1 SOPHIE L. SCHRØDER,1 ILYA MANDEL,4 CHRISTA GALL,1 AND SOFIE H. BRUUN1 1Dark Cosmology Centre, Niels Bohr Institute, University of Copenhagen, Juliane Maries Vej 30, DK-2100 Copenhagen Ø, Denmark 2Department of Physics, University of Warwick, Coventry, CV4 7AL, UK 3Department of Physics and Astronomy, University of Leicester, LE1 7RH, UK 4Birmingham Institute for Gravitational Wave Astronomy and School of Physics and Astronomy, University of Birmingham, Birmingham, B15 2TT, UK ABSTRACT The historic detection of gravitational waves from a binary neutron star merger (GW 170817) and its electromagnetic coun- terpart led to the first accurate (sub-arcsecond) localization of a gravitational wave event. The transient was found to be ∼1000 from the nucleus of the S0 galaxy NGC 4993. We here report the luminosity distance to this galaxy using two independent meth- ods: (1) Based on our MUSE/VLT measurement of the heliocentric redshift (z = 0:009783 ± 0:000023) we infer the systemic -1 recession velocity of the NGC 4993 group of galaxies in the CMB frame to be vCMB = 3231 ± 53 km s . Using constrained cos- -1 mological simulations we estimate the line-of-sight peculiar velocity to be vpec = 307±230 km s , resulting in a cosmic velocity -1 of vcosmic = 2924 ± 236 km s (zcosmic = 0:00980 ± 0:00079) and a distance of Dz = 40:4 ± 3:4 Mpc assuming a local Hubble -1 -1 00 00 constant of H0 = 73:24 ± 1:74 km s Mpc . -
The Primordial Fireball Transcript
The Primordial Fireball Transcript Date: Wednesday, 23 September 2015 - 1:00PM Location: Museum of London 23 September 2015 The Primordial Fireball Professor Joseph Silk The universe underwent an inflationary period of expansion. From an extremely hot beginning, it cooled down, and then reheated to form the expanding universe that we observe today. The relic radiation generated the fossil glow of the cosmic microwave background radiation, a testament to its fiery origin. Infinitesimal fluctuations in temperature were laid down very soon after the beginning. Gravity triumphed in slightly over-dense regions where galaxies eventually formed. Microwave telescopes map out the structure of the universe long before the galaxies were present. I will describe the current challenges in cosmic microwave background astronomy. The universe began in a state of extreme density and temperature, some 14 billion years ago. Our best estimate is that its density was once higher than its present value by 120 powers of 10. This is at the limit of extrapolation of our current theories of gravity and quantum physics. And it was very hot, hotter than the radiation that presently fills the universe by some 28 powers of 10 in temperature. How do we arrive at such incredible extrapolations from the present? The Expansion of the Universe The story begins with the discovery of the expansion of the universe in 1929 by American astronomer Edwin Hubble. Now confirmed at immense distances from us, over many billions of light years, the extrapolation to an ultra-dense beginning is essentially inevitable. Of course, most of this extrapolation is based on theory. -
The Dipole Repeller
The Dipole Repeller Yehuda Hoffman1, Daniel Pomarede` 2, R. Brent Tully3 and Hel´ ene` Courtois4 In accordance with Nature publication policy, this version is the original one submitted to Nature Astronomy. The accepted version is accessible online at Nature Astronomy and differs from this one. Nature Astronomy 2017, Volume 1 , article 36. We will be allowed to post in 6 months the accepted version on arxiv. 1Racah Institute of Physics, Hebrew University, Jerusalem 91904, Israel 2Institut de Recherche sur les Lois Fondamentales de l’Univers, CEA, Universite´ Paris-Saclay, 91191 Gif-sur-Yvette, France 3Institute for Astronomy (IFA), University of Hawaii, 2680 Woodlawn Drive, HI 96822, USA 4University of Lyon; UCB Lyon 1/CNRS/IN2P3; IPN Lyon, France In the standard (ΛCDM) model of cosmology the universe has emerged out of an early ho- mogeneous and isotropic phase. Structure formation is associated with the growth of density irregularities and peculiar velocities. Our Local Group is moving with respect to the cosmic −1 1 arXiv:1702.02483v1 [astro-ph.CO] 8 Feb 2017 microwave background (CMB) with a velocity of VCMB = 631 ± 20 km s and participates in a bulk flow that extends out to distances of at least ≈ 20; 000 km s−1 2–4. The quest for the sources of that motion has dominated cosmography since the discovery of the CMB dipole. The implicit assumption was that excesses in the abundance of galaxies induce the Local 1 Group motion5–7. Yet, underdense regions push as much as overdensities attract8 but they are deficient of light and consequently difficult to chart.