Making a Big Bang: Understanding the Observable Universe
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Olbers' Paradox
Astro 101 Fall 2013 Lecture 12 Cosmology T. Howard Cosmology = study of the Universe as a whole • ? What is it like overall? • ? What is its history? How old is it? • ? What is its future? • ? How do we find these things out from what we can observe? • In 1996, researchers at the Space Telescope Science Institute used the Hubble to make a very long exposure of a patch of seemingly empty sky. Q: What did they find? A: Galaxies “as far as The eye can see …” (nearly everything in this photo is a galaxy!) 40 hour exposure What do we know already (about the Universe) ? • Galaxies in groups; clusters; superclusters • Nearby universe has “filament” and void type of structure • More distant objects are receding from us (light is redshifted) • Hubble’s Law: V = H0 x D (Hubble's Law) Structure in the Universe What is the largest kind of structure in the universe? The ~100-Mpc filaments, shells and voids? On larger scales, things look more uniform. 600 Mpc Olbers’ Paradox • Assume the universe is homogeneous, isotropic, infinte, and static • Then: Why don’t we see light everywhere? Why is the night sky (mostly) dark? Olbers’ Paradox (cont’d.) • We believe the universe is homogeneous and isotropic • So, either it isn’t infinite OR it isn’t static • “Big Bang” theory – universe started expanding a finite time ago Given what we know of structure in the universe, assume: The Cosmological Principle On the largest scales, the universe is roughly homogeneous (same at all places) and isotropic (same in all directions). Laws of physics are everywhere the same. -
Dark Energy and Dark Matter As Inertial Effects Introduction
Dark Energy and Dark Matter as Inertial Effects Serkan Zorba Department of Physics and Astronomy, Whittier College 13406 Philadelphia Street, Whittier, CA 90608 [email protected] ABSTRACT A disk-shaped universe (encompassing the observable universe) rotating globally with an angular speed equal to the Hubble constant is postulated. It is shown that dark energy and dark matter are cosmic inertial effects resulting from such a cosmic rotation, corresponding to centrifugal (dark energy), and a combination of centrifugal and the Coriolis forces (dark matter), respectively. The physics and the cosmological and galactic parameters obtained from the model closely match those attributed to dark energy and dark matter in the standard Λ-CDM model. 20 Oct 2012 Oct 20 ph] - PACS: 95.36.+x, 95.35.+d, 98.80.-k, 04.20.Cv [physics.gen Introduction The two most outstanding unsolved problems of modern cosmology today are the problems of dark energy and dark matter. Together these two problems imply that about a whopping 96% of the energy content of the universe is simply unaccounted for within the reigning paradigm of modern cosmology. arXiv:1210.3021 The dark energy problem has been around only for about two decades, while the dark matter problem has gone unsolved for about 90 years. Various ideas have been put forward, including some fantastic ones such as the presence of ghostly fields and particles. Some ideas even suggest the breakdown of the standard Newton-Einstein gravity for the relevant scales. Although some progress has been made, particularly in the area of dark matter with the nonstandard gravity theories, the problems still stand unresolved. -
Fine-Tuning, Complexity, and Life in the Multiverse*
Fine-Tuning, Complexity, and Life in the Multiverse* Mario Livio Dept. of Physics and Astronomy, University of Nevada, Las Vegas, NV 89154, USA E-mail: [email protected] and Martin J. Rees Institute of Astronomy, University of Cambridge, Cambridge CB3 0HA, UK E-mail: [email protected] Abstract The physical processes that determine the properties of our everyday world, and of the wider cosmos, are determined by some key numbers: the ‘constants’ of micro-physics and the parameters that describe the expanding universe in which we have emerged. We identify various steps in the emergence of stars, planets and life that are dependent on these fundamental numbers, and explore how these steps might have been changed — or completely prevented — if the numbers were different. We then outline some cosmological models where physical reality is vastly more extensive than the ‘universe’ that astronomers observe (perhaps even involving many ‘big bangs’) — which could perhaps encompass domains governed by different physics. Although the concept of a multiverse is still speculative, we argue that attempts to determine whether it exists constitute a genuinely scientific endeavor. If we indeed inhabit a multiverse, then we may have to accept that there can be no explanation other than anthropic reasoning for some features our world. _______________________ *Chapter for the book Consolidation of Fine Tuning 1 Introduction At their fundamental level, phenomena in our universe can be described by certain laws—the so-called “laws of nature” — and by the values of some three dozen parameters (e.g., [1]). Those parameters specify such physical quantities as the coupling constants of the weak and strong interactions in the Standard Model of particle physics, and the dark energy density, the baryon mass per photon, and the spatial curvature in cosmology. -
Friedmann Equation (1.39) for a Radiation Dominated Universe Will Thus Be (From Ada ∝ Dt)
Lecture 2 The quest for the origin of the elements The quest for the origins of the elements, C. Bertulani, RISP, 2016 1 Reading2.1 - material Geometry of the Universe 2-dimensional analogy: Surface of a sphere. The surface is finite, but has no edge. For a creature living on the sphere, having no sense of the third dimension, there is no center (on the sphere). All points are equal. Any point on the surface can be defined as the center of a coordinate system. But, how can a 2-D creature investigate the geometry of the sphere? Answer: Measure curvature of its space. Flat surface (zero curvature, k = 0) Closed surface Open surface (posiDve curvature, k = 1) (negave curvature, k = -1) The quest for the origins of the elements, C. Bertulani, RISP, 2016 2 ReadingGeometry material of the Universe These are the three possible geometries of the Universe: closed, open and flat, corresponding to a density parameter Ωm = ρ/ρcrit which is greater than, less than or equal to 1. The relation to the curvature parameter is given by Eq. (1.58). The closed universe is of finite size. Traveling far enough in one direction will lead back to one's starting point. The open and flat universes are infinite and traveling in a constant direction will never lead to the same point. The quest for the origins of the elements, C. Bertulani, RISP, 2016 3 2.2 - Static Universe 2 2 The static Universe requires a = a0 = constant and thus d a/dt = da/dt = 0. From Eq. -
Galaxy Redshifts: from Dozens to Millions
GALAXY REDSHIFTS: FROM DOZENS TO MILLIONS Chris Impey University of Arizona The Expanding Universe • Evolution of the scale factor from GR; metric assumes homogeneity and isotropy (~FLRW). • Cosmological redshift fundamentally differs from a Doppler shift. • Galaxies (and other objects) are used as space-time markers. Expansion History and Contents Science is Seeing The expansion history since the big bang and the formation of large scale structure are driven by dark matter and dark energy. Observing Galaxies Galaxy Observables: • Redshift (z) • Magnitude (color, SED) • Angular size (morphology) All other quantities (size, luminosity, mass) derive from knowing a distance, which relates to redshift via a cosmological model. The observables are poor distance indicators. Other astrophysical luminosity predictors are required. (Cowie) ~90% of the volume or look-back time is probed by deep field • Number of galaxies in observable universe: ~90% of the about 100 billion galaxies in the volume • Number of stars in the are counted observable universe: about 1022 Heading for 100 Million (Baldry/Eisenstein) Multiplex Advantage Cannon (1910) Gemini/GMOS (2010) Sluggish, Spacious, Reliable. Photography CCD Imaging Speedy, Cramped, Finicky. 100 Years of Measuring Galaxy Redshifts Who When # Galaxies Size Time Mag Scheiner 1899 1 (M31) 0.3m 7.5h V = 3.4 Slipher 1914 15 0.6m ~5h V ~ 8 Slipher 1917 25 0.6m ~5h V ~ 8 Hubble/Slipher 1929 46 1.5m ~6h V ~ 10 Hum/May/San 1956 800 5m ~2h V = 11.6 Photographic 1960s 1 ~4m ~2.5h V ~ 15 Image Intensifier 1970s -
New Constraints on Cosmic Reionization
New Constraints on Cosmic Reionization Brant Robertson UCSC Exploring the Universe with JWST ESA / ESTEC, The Netherlands October 12, 2015 1 Exploring the Universe with JWST, 10/12/2015 B. Robertson, UCSC Brief History of the Observable Universe 1100 Redshift 12 8 6 1 13.8 13.5 Billions of years ago 13.4 12.9 8 Adapted from Robertson et al. Nature, 468, 49 (2010). 2 Exploring the Universe with JWST, 10/12/2015 B. Robertson, UCSC Observational Facilities Over the Next Decade 1100 Redshift 12 8 6 1 Planck Future 21cm Current 21cm LSST Thirty Meter Telescope WFIRST ALMA Hubble Chandra Fermi James Webb Space Telescope 13.8 13.5 Billions of years ago 13.4 12.9 8 Observations with JWST, WFIRST, TMT/E-ELT, LSST, ALMA, and 21- cm will drive astronomical discoveries over the next decade. Adapted from Robertson et al. Nature, 468, 49 (2010). 3 Exploring the Universe with JWST, 10/12/2015 B. Robertson, UCSC 1100 Redshift 12 8 6 1 Planck Future 21cm Current 21cm LSST Thirty Meter Telescope WFIRST ALMA Hubble Chandra Fermi James Webb Space Telescope 13.8 13.5 Billions of years ago 13.4 12.9 8 1. What can we learn about Cosmic Dawn? Was it a dramatic event in a narrow period of time or did the birth of galaxies happen gradually? 2. Can we be sure light from early galaxies caused cosmic reionization? We have some guide on when reionization occurred from studying the thermal glow of the Big Bang (microwave background), but what were the sources of ionizing photons? 3. -
Neutrino Decoupling Beyond the Standard Model: CMB Constraints on the Dark Matter Mass with a Fast and Precise Neff Evaluation
KCL-2018-76 Prepared for submission to JCAP Neutrino decoupling beyond the Standard Model: CMB constraints on the Dark Matter mass with a fast and precise Neff evaluation Miguel Escudero Theoretical Particle Physics and Cosmology Group Department of Physics, King's College London, Strand, London WC2R 2LS, UK E-mail: [email protected] Abstract. The number of effective relativistic neutrino species represents a fundamental probe of the thermal history of the early Universe, and as such of the Standard Model of Particle Physics. Traditional approaches to the process of neutrino decoupling are either very technical and computationally expensive, or assume that neutrinos decouple instantaneously. In this work, we aim to fill the gap between these two approaches by modeling neutrino decoupling in terms of two simple coupled differential equations for the electromagnetic and neutrino sector temperatures, in which all the relevant interactions are taken into account and which allows for a straightforward implementation of BSM species. Upon including finite temperature QED corrections we reach an accuracy on Neff in the SM of 0:01. We illustrate the usefulness of this approach to neutrino decoupling by considering, in a model independent manner, the impact of MeV thermal dark matter on Neff . We show that Planck rules out electrophilic and neutrinophilic thermal dark matter particles of m < 3:0 MeV at 95% CL regardless of their spin, and of their annihilation being s-wave or p-wave. We point out arXiv:1812.05605v4 [hep-ph] 6 Sep 2019 that thermal dark matter particles with non-negligible interactions with both electrons and neutrinos are more elusive to CMB observations than purely electrophilic or neutrinophilic ones. -
Estimations of Total Mass and Energy of the Observable Universe
Physics International 5 (1): 15-20, 2014 ISSN: 1948-9803 ©2014 Science Publication doi:10.3844/pisp.2014.15.20 Published Online 5 (1) 2014 (http://www.thescipub.com/pi.toc) ESTIMATIONS OF TOTAL MASS AND ENERGY OF THE OBSERVABLE UNIVERSE Dimitar Valev Department of Stara Zagora, Space Research and Technology Institute, Bulgarian Academy of Sciences, 6000 Stara Zagora, Bulgaria Received 2014-02-05; Revised 2014-03-18; Accepted 2014-03-21 ABSTRACT The recent astronomical observations indicate that the expanding universe is homogeneous, isotropic and asymptotically flat. The Euclidean geometry of the universe enables to determine the total gravitational and kinetic energy of the universe by Newtonian gravity in a flat space. By means of dimensional analysis, we have found the mass of the observable universe close to the Hoyle-Carvalho formula M∼c3/(GH ). This value is independent from the cosmological model and infers a size (radius) of the observable universe close to Hubble distance. It has been shown that almost the entire kinetic energy of the observable universe ensues from the cosmological expansion. Both, the total gravitational and kinetic energies of the observable universe have been determined in relation to an observer at an arbitrary location. The relativistic calculations for total kinetic energy have been made and the dark energy has been excluded from calculations. The total mechanical energy of the observable universe has been found close to zero, which is a remarkable result. This result supports the conjecture that the gravitational energy of the observable universe is approximately balanced with its kinetic energy of the expansion and favours a density of dark energy ΩΛ≈ 0.78. -
Majorana Neutrino Magnetic Moment and Neutrino Decoupling in Big Bang Nucleosynthesis
PHYSICAL REVIEW D 92, 125020 (2015) Majorana neutrino magnetic moment and neutrino decoupling in big bang nucleosynthesis † ‡ N. Vassh,1,* E. Grohs,2, A. B. Balantekin,1, and G. M. Fuller3,§ 1Department of Physics, University of Wisconsin, Madison, Wisconsin 53706, USA 2Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA 3Department of Physics, University of California, San Diego, La Jolla, California 92093, USA (Received 1 October 2015; published 22 December 2015) We examine the physics of the early universe when Majorana neutrinos (νe, νμ, ντ) possess transition magnetic moments. These extra couplings beyond the usual weak interaction couplings alter the way neutrinos decouple from the plasma of electrons/positrons and photons. We calculate how transition magnetic moment couplings modify neutrino decoupling temperatures, and then use a full weak, strong, and electromagnetic reaction network to compute corresponding changes in big bang nucleosynthesis abundance yields. We find that light element abundances and other cosmological parameters are sensitive to −10 magnetic couplings on the order of 10 μB. Given the recent analysis of sub-MeV Borexino data which −11 constrains Majorana moments to the order of 10 μB or less, we find that changes in cosmological parameters from magnetic contributions to neutrino decoupling temperatures are below the level of upcoming precision observations. DOI: 10.1103/PhysRevD.92.125020 PACS numbers: 13.15.+g, 26.35.+c, 14.60.St, 14.60.Lm I. INTRODUCTION Such processes alter the primordial abundance yields which can be used to constrain the allowed sterile neutrino mass In this paper we explore how the early universe, and the and magnetic moment parameter space [4]. -
Dark Energy and CMB
Dark Energy and CMB Conveners: S. Dodelson and K. Honscheid Topical Conveners: K. Abazajian, J. Carlstrom, D. Huterer, B. Jain, A. Kim, D. Kirkby, A. Lee, N. Padmanabhan, J. Rhodes, D. Weinberg Abstract The American Physical Society's Division of Particles and Fields initiated a long-term planning exercise over 2012-13, with the goal of developing the community's long term aspirations. The sub-group \Dark Energy and CMB" prepared a series of papers explaining and highlighting the physics that will be studied with large galaxy surveys and cosmic microwave background experiments. This paper summarizes the findings of the other papers, all of which have been submitted jointly to the arXiv. arXiv:1309.5386v2 [astro-ph.CO] 24 Sep 2013 2 1 Cosmology and New Physics Maps of the Universe when it was 400,000 years old from observations of the cosmic microwave background and over the last ten billion years from galaxy surveys point to a compelling cosmological model. This model requires a very early epoch of accelerated expansion, inflation, during which the seeds of structure were planted via quantum mechanical fluctuations. These seeds began to grow via gravitational instability during the epoch in which dark matter dominated the energy density of the universe, transforming small perturbations laid down during inflation into nonlinear structures such as million light-year sized clusters, galaxies, stars, planets, and people. Over the past few billion years, we have entered a new phase, during which the expansion of the Universe is accelerating presumably driven by yet another substance, dark energy. Cosmologists have historically turned to fundamental physics to understand the early Universe, successfully explaining phenomena as diverse as the formation of the light elements, the process of electron-positron annihilation, and the production of cosmic neutrinos. -
The High Redshift Universe: Galaxies and the Intergalactic Medium
The High Redshift Universe: Galaxies and the Intergalactic Medium Koki Kakiichi M¨unchen2016 The High Redshift Universe: Galaxies and the Intergalactic Medium Koki Kakiichi Dissertation an der Fakult¨atf¨urPhysik der Ludwig{Maximilians{Universit¨at M¨unchen vorgelegt von Koki Kakiichi aus Komono, Mie, Japan M¨unchen, den 15 Juni 2016 Erstgutachter: Prof. Dr. Simon White Zweitgutachter: Prof. Dr. Jochen Weller Tag der m¨undlichen Pr¨ufung:Juli 2016 Contents Summary xiii 1 Extragalactic Astrophysics and Cosmology 1 1.1 Prologue . 1 1.2 Briefly Story about Reionization . 3 1.3 Foundation of Observational Cosmology . 3 1.4 Hierarchical Structure Formation . 5 1.5 Cosmological probes . 8 1.5.1 H0 measurement and the extragalactic distance scale . 8 1.5.2 Cosmic Microwave Background (CMB) . 10 1.5.3 Large-Scale Structure: galaxy surveys and Lyα forests . 11 1.6 Astrophysics of Galaxies and the IGM . 13 1.6.1 Physical processes in galaxies . 14 1.6.2 Physical processes in the IGM . 17 1.6.3 Radiation Hydrodynamics of Galaxies and the IGM . 20 1.7 Bridging theory and observations . 23 1.8 Observations of the High-Redshift Universe . 23 1.8.1 General demographics of galaxies . 23 1.8.2 Lyman-break galaxies, Lyα emitters, Lyα emitting galaxies . 26 1.8.3 Luminosity functions of LBGs and LAEs . 26 1.8.4 Lyα emission and absorption in LBGs: the physical state of high-z star forming galaxies . 27 1.8.5 Clustering properties of LBGs and LAEs: host dark matter haloes and galaxy environment . 30 1.8.6 Circum-/intergalactic gas environment of LBGs and LAEs . -
The Big Bang Cosmological Model: Theory and Observations
THE BIG BANG COSMOLOGICAL MODEL: THEORY AND OBSERVATIONS MARTINA GERBINO INFN, sezione di Ferrara ISAPP 2021 Valencia July 22st, 2021 1 Structure formation Maps of CMB anisotropies show the Universe as it was at the time of recombination. The CMB field is isotropic and !" the rms fluctuations (in total intensity) are very small, < | |# > ~10$% (even smaller in polarization). Density " perturbations � ≡ ��/� are proportional to CMB fluctuations. It is possible to show that, at recombination, perturbations could be from a few (for baryons) to at most 100 times (for CDM) larger than CMB fluctuations. We need a theory of structure formation that allows to link the tiny perturbations at z~1100 to the large scale structure of the Universe we observe today (from galaxies to clusters and beyond). General picture: small density perturbations grow via gravitational instability (Jeans mechanism). The growth is suppressed during radiation-domination and eventually kicks-off after the time of equality (z~3000). When inside the horizon, perturbations grow proportional to the scale factor as long as they are in MD and remain in the linear regime (� ≪ 1). M. GERBINO 2 ISAPP-VALENCIA, 22 JULY 2021 Preliminaries & (⃗ $&) Density contrast �(�⃗) ≡ and its Fourier expansion � = ∫ �+� �(�⃗) exp(��. �⃗) &) * Credits: Kolb&Turner 2� � � ≡ ; � = ; � = ��; � ,-./ � ,-./ � � �+, �� � ≡ �+ �; � � = �(�)$+� ∝ 6 ,-./ -01 6 �+/#, �� �+ �(�) ≈ �3 -01 2� The amplitude of perturbations as they re-enter the horizon is given by the primordial power spectrum. Once perturbations re-enter the horizon, micro-physics processes modify the primordial spectrum Scale factor M. GERBINO 3 ISAPP-VALENCIA, 22 JULY 2021 Jeans mechanism (non-expanding) The Newtonian motion of a perfect fluid is decribed via the Eulerian equations.