Re-Interpreting the Significance of the Cosmic Microwave Background
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Demystifying Special Relativity; the K-Factor Angel Darlene Harb
Demystifying Special Relativity; the K-Factor Angel Darlene Harb University of Texas at San Antonio, TX, U.S.A. ABSTRACT This paper targets upper-level high school students and incoming college freshmen who have been less exposed to Special Relativity (SR). The goal is to spark interest and eliminate any feelings of intimidation one might have about a topic brought forth by world genius Albert Einstein. For this purpose, we will introduce some ideas revolving around SR. Additionally, by deriving the relationship between the k-factor and relative velocity, we hope that students come to an appreciation for the impact of basic mathematical skills and the way these can be applied to quite complex models. Advanced readers can directly jump ahead to the section discussing the k-factor. keywords : relative velocity, world lines, space-time 1 Introduction 1.1 A Morsel of History Throughout time, scientists have searched for ’just the right’ model comprised of laws, assumptions and theories that could explain our physical world. One example of a leading physical law is: All matter in the universe is subject to the same forces. It is important to note, this principle is agreeable to scientists, not because it is empirically true, but because this law makes for a good model of nature. Consequently, this law unifies areas like mechanics, electricity and optics traditionally taught separate from each other. Sir Isaac Newton (1643-1727) contributed to this principle with his ’three laws of motion.’ They were so mathematically elegant, that the Newtonian model dominated the scientific mind for nearly two centuries. -
Introduction to Radio Astronomy
Introduction to Radio Astronomy Greg Hallenbeck 2016 UAT Workshop @ Green Bank Outline Sources of Radio Emission Continuum Sources versus Spectral Lines The HI Line Details of the HI Line What is our data like? What can we learn from each source? The Radio Telescope How do we actually detect this stuff? How do we get from the sky to the data? I. Radio Emission Sources The Electromagnetic Spectrum Radio ← Optical Light → A Galaxy Spectrum (Apologies to the radio astronomers) Continuum Emission Radiation at a wide range of wavelengths ❖ Thermal Emission ❖ Bremsstrahlung (aka free-free) ❖ Synchrotron ❖ Inverse Compton Scattering Spectral Line Radiation at a wide range of wavelengths ❖ The HI Line Categories of Emission Continuum Emission — “The Background” Radiation at a wide range of wavelengths ❖ Thermal Emission ❖ Synchrotron ❖ Bremsstrahlung (aka free-free) ❖ Inverse Compton Scattering Spectral Lines — “The Spikes” Radiation at specific wavelengths ❖ The HI Line ❖ Pretty much any element or molecule has lines. Thermal Emission Hot Things Glow Emit radiation at all wavelengths The peak of emission depends on T Higher T → shorter wavelength Regulus (12,000 K) The Sun (6,000 K) Jupiter (100 K) Peak is 250 nm Peak is 500 nm Peak is 30 µm Thermal Emission How cold corresponds to a radio peak? A 3 K source has peak at 1 mm. Not getting any colder than that. Synchrotron Radiation Magnetic Fields Make charged particles move in circles. Accelerating charges radiate. Synchrotron Ingredients Strong magnetic fields High energies, ionized particles. Found in jets: ❖ Active galactic nuclei ❖ Quasars ❖ Protoplanetary disks Synchrotron Radiation Jets from a Protostar At right: an optical image. -
A Study of John Leslie's Infinite Minds, a Philosophical Cosmology
Document généré le 1 oct. 2021 09:18 Laval théologique et philosophique Infinite Minds, Determinism & Evil A Study of John Leslie’s Infinite Minds, A Philosophical Cosmology Leslie Armour La question de Dieu Volume 58, numéro 3, octobre 2002 URI : https://id.erudit.org/iderudit/000634ar DOI : https://doi.org/10.7202/000634ar Aller au sommaire du numéro Éditeur(s) Faculté de philosophie, Université Laval Faculté de théologie et de sciences religieuses, Université Laval ISSN 0023-9054 (imprimé) 1703-8804 (numérique) Découvrir la revue Citer cette note Armour, L. (2002). Infinite Minds, Determinism & Evil: A Study of John Leslie’s Infinite Minds, A Philosophical Cosmology. Laval théologique et philosophique, 58(3), 597–603. https://doi.org/10.7202/000634ar Tous droits réservés © Laval théologique et philosophique, Université Laval, Ce document est protégé par la loi sur le droit d’auteur. L’utilisation des 2002 services d’Érudit (y compris la reproduction) est assujettie à sa politique d’utilisation que vous pouvez consulter en ligne. https://apropos.erudit.org/fr/usagers/politique-dutilisation/ Cet article est diffusé et préservé par Érudit. Érudit est un consortium interuniversitaire sans but lucratif composé de l’Université de Montréal, l’Université Laval et l’Université du Québec à Montréal. Il a pour mission la promotion et la valorisation de la recherche. https://www.erudit.org/fr/ Laval théologique et philosophique, 58, 3 (octobre 2002) : 597-603 ◆ note critique INFINITE MINDS, DETERMINISM & EVIL A STUDY OF JOHN LESLIE’S INFINITE MINDS, A PHILOSOPHICAL COSMOLOGY * Leslie Armour The Dominican College of Philosophy and Theology Ottawa ohn Leslie’s Infinite Minds is a refreshingly daring book. -
Science and Religion in the Face of the Environmental Crisis
Roger S. Gottlieb, ed., The Oxford Handbook of Religion and Ecology. New York and Oxford: Oxford University Press, 2006. Pages 376-397. CHAPTER 17 .................................................................................................. SCIENCE AND RELIGION IN THE FACE OF THE ENVIRONMENTAL CRISIS ..................................................................................................... HOLMES ROLSTON III BOTH science and religion are challenged by the environmental crisis, both to reevaluate the natural world and to reevaluate their dialogue with each other. Both are thrown into researching fundamental theory and practice in the face of an upheaval unprecedented in human history, indeed in planetary history. Life on Earth is in jeopardy owing to the behavior of one species, the only species that is either scientific or religious, the only species claiming privilege as the "wise spe- cies," Homo sapiens. Nature and the human relation to nature must be evaluated within cultures, classically by their religions, currently also by the sciences so eminent in Western culture. Ample numbers of theologians and ethicists have become persuaded that religion needs to pay more attention to ecology, and many ecologists recognize religious dimensions to caring for nature and to addressing the ecological crisis. Somewhat ironically, just when humans, with their increasing industry and technology, seemed further and further from nature, having more knowledge about natural processes and more power to manage them, just when humans were more and more rebuilding their environments, thinking perhaps to escape nature, the natural world has emerged as a focus of concern. Nature remains the milieu of 376 SCIENCE AND RELIGION 377 culture—so both science and religion have discovered. In a currently popular vocabulary, humans need to get themselves "naturalized." Using another meta- phor, nature is the "womb" of culture, but a womb that humans never entirely leave. -
String Theory and Pre-Big Bang Cosmology
IL NUOVO CIMENTO 38 C (2015) 160 DOI 10.1393/ncc/i2015-15160-8 Colloquia: VILASIFEST String theory and pre-big bang cosmology M. Gasperini(1)andG. Veneziano(2) (1) Dipartimento di Fisica, Universit`a di Bari - Via G. Amendola 173, 70126 Bari, Italy and INFN, Sezione di Bari - Bari, Italy (2) CERN, Theory Unit, Physics Department - CH-1211 Geneva 23, Switzerland and Coll`ege de France - 11 Place M. Berthelot, 75005 Paris, France received 11 January 2016 Summary. — In string theory, the traditional picture of a Universe that emerges from the inflation of a very small and highly curved space-time patch is a possibility, not a necessity: quite different initial conditions are possible, and not necessarily unlikely. In particular, the duality symmetries of string theory suggest scenarios in which the Universe starts inflating from an initial state characterized by very small curvature and interactions. Such a state, being gravitationally unstable, will evolve towards higher curvature and coupling, until string-size effects and loop corrections make the Universe “bounce” into a standard, decreasing-curvature regime. In such a context, the hot big bang of conventional cosmology is replaced by a “hot big bounce” in which the bouncing and heating mechanisms originate from the quan- tum production of particles in the high-curvature, large-coupling pre-bounce phase. Here we briefly summarize the main features of this inflationary scenario, proposed a quarter century ago. In its simplest version (where it represents an alternative and not a complement to standard slow-roll inflation) it can produce a viable spectrum of density perturbations, together with a tensor component characterized by a “blue” spectral index with a peak in the GHz frequency range. -
Big Bang Blunder Bursts the Multiverse Bubble
WORLD VIEW A personal take on events IER P P. PA P. Big Bang blunder bursts the multiverse bubble Premature hype over gravitational waves highlights gaping holes in models for the origins and evolution of the Universe, argues Paul Steinhardt. hen a team of cosmologists announced at a press world will be paying close attention. This time, acceptance will require conference in March that they had detected gravitational measurements over a range of frequencies to discriminate from fore- waves generated in the first instants after the Big Bang, the ground effects, as well as tests to rule out other sources of confusion. And Worigins of the Universe were once again major news. The reported this time, the announcements should be made after submission to jour- discovery created a worldwide sensation in the scientific community, nals and vetting by expert referees. If there must be a press conference, the media and the public at large (see Nature 507, 281–283; 2014). hopefully the scientific community and the media will demand that it According to the team at the BICEP2 South Pole telescope, the is accompanied by a complete set of documents, including details of the detection is at the 5–7 sigma level, so there is less than one chance systematic analysis and sufficient data to enable objective verification. in two million of it being a random occurrence. The results were The BICEP2 incident has also revealed a truth about inflationary the- hailed as proof of the Big Bang inflationary theory and its progeny, ory. The common view is that it is a highly predictive theory. -
The Reionization of Cosmic Hydrogen by the First Galaxies Abstract 1
David Goodstein’s Cosmology Book The Reionization of Cosmic Hydrogen by the First Galaxies Abraham Loeb Department of Astronomy, Harvard University, 60 Garden St., Cambridge MA, 02138 Abstract Cosmology is by now a mature experimental science. We are privileged to live at a time when the story of genesis (how the Universe started and developed) can be critically explored by direct observations. Looking deep into the Universe through powerful telescopes, we can see images of the Universe when it was younger because of the finite time it takes light to travel to us from distant sources. Existing data sets include an image of the Universe when it was 0.4 million years old (in the form of the cosmic microwave background), as well as images of individual galaxies when the Universe was older than a billion years. But there is a serious challenge: in between these two epochs was a period when the Universe was dark, stars had not yet formed, and the cosmic microwave background no longer traced the distribution of matter. And this is precisely the most interesting period, when the primordial soup evolved into the rich zoo of objects we now see. The observers are moving ahead along several fronts. The first involves the construction of large infrared telescopes on the ground and in space, that will provide us with new photos of the first galaxies. Current plans include ground-based telescopes which are 24-42 meter in diameter, and NASA’s successor to the Hubble Space Telescope, called the James Webb Space Telescope. In addition, several observational groups around the globe are constructing radio arrays that will be capable of mapping the three-dimensional distribution of cosmic hydrogen in the infant Universe. -
DARK AGES of the Universe the DARK AGES of the Universe Astronomers Are Trying to fill in the Blank Pages in Our Photo Album of the Infant Universe by Abraham Loeb
THE DARK AGES of the Universe THE DARK AGES of the Universe Astronomers are trying to fill in the blank pages in our photo album of the infant universe By Abraham Loeb W hen I look up into the sky at night, I often wonder whether we humans are too preoccupied with ourselves. There is much more to the universe than meets the eye on earth. As an astrophysicist I have the privilege of being paid to think about it, and it puts things in perspective for me. There are things that I would otherwise be bothered by—my own death, for example. Everyone will die sometime, but when I see the universe as a whole, it gives me a sense of longevity. I do not care so much about myself as I would otherwise, because of the big picture. Cosmologists are addressing some of the fundamental questions that people attempted to resolve over the centuries through philosophical thinking, but we are doing so based on systematic observation and a quantitative methodology. Perhaps the greatest triumph of the past century has been a model of the uni- verse that is supported by a large body of data. The value of such a model to our society is sometimes underappreciated. When I open the daily newspaper as part of my morning routine, I often see lengthy de- scriptions of conflicts between people about borders, possessions or liberties. Today’s news is often forgotten a few days later. But when one opens ancient texts that have appealed to a broad audience over a longer period of time, such as the Bible, what does one often find in the opening chap- ter? A discussion of how the constituents of the universe—light, stars, life—were created. -
Physical Cosmology Physics 6010, Fall 2017 Lam Hui
Physical Cosmology Physics 6010, Fall 2017 Lam Hui My coordinates. Pupin 902. Phone: 854-7241. Email: [email protected]. URL: http://www.astro.columbia.edu/∼lhui. Teaching assistant. Xinyu Li. Email: [email protected] Office hours. Wednesday 2:30 { 3:30 pm, or by appointment. Class Meeting Time/Place. Wednesday, Friday 1 - 2:30 pm (Rabi Room), Mon- day 1 - 2 pm for the first 4 weeks (TBC). Prerequisites. No permission is required if you are an Astronomy or Physics graduate student { however, it will be assumed you have a background in sta- tistical mechanics, quantum mechanics and electromagnetism at the undergrad- uate level. Knowledge of general relativity is not required. If you are an undergraduate student, you must obtain explicit permission from me. Requirements. Problem sets. The last problem set will serve as a take-home final. Topics covered. Basics of hot big bang standard model. Newtonian cosmology. Geometry and general relativity. Thermal history of the universe. Primordial nucleosynthesis. Recombination. Microwave background. Dark matter and dark energy. Spatial statistics. Inflation and structure formation. Perturba- tion theory. Large scale structure. Non-linear clustering. Galaxy formation. Intergalactic medium. Gravitational lensing. Texts. The main text is Modern Cosmology, by Scott Dodelson, Academic Press, available at Book Culture on W. 112th Street. The website is http://www.bookculture.com. Other recommended references include: • Cosmology, S. Weinberg, Oxford University Press. • http://pancake.uchicago.edu/∼carroll/notes/grtiny.ps or http://pancake.uchicago.edu/∼carroll/notes/grtinypdf.pdf is a nice quick introduction to general relativity by Sean Carroll. • A First Course in General Relativity, B. -
Towards a Theory of Gravitational Radiation Or What Is a Gravitational Wave?
Recent LIGO announcement Gravitational radiation theory: summary Prehistory: 1916-1956 History: 1957-1962 Towards a theory of gravitational radiation or What is a gravitational wave? Paweł Nurowski Center for Theoretical Physics Polish Academy of Sciences King’s College London, 28 April 2016 1/48 Recent LIGO announcement Gravitational radiation theory: summary Prehistory: 1916-1956 History: 1957-1962 Plan 1 Recent LIGO announcement 2 Gravitational radiation theory: summary 3 Prehistory: 1916-1956 4 History: 1957-1962 2/48 Recent LIGO announcement Gravitational radiation theory: summary Prehistory: 1916-1956 History: 1957-1962 LIGO detection: Its relevance the first detection of gravitational waves the first detection of a black hole; of a binary black-hole; of a merging process of black holes creating a new one; Kerr black holes exist; black holes with up to 60 Solar masses exist; the most energetic process ever observed important test of Einstein’s General Theory of Relativity new window: a birth of gravitational wave astronomy 3/48 Recent LIGO announcement Gravitational radiation theory: summary Prehistory: 1916-1956 History: 1957-1962 LIGO detection: Its relevance the first detection of gravitational waves the first detection of a black hole; of a binary black-hole; of a merging process of black holes creating a new one; Kerr black holes exist; black holes with up to 60 Solar masses exist; the most energetic process ever observed important test of Einstein’s General Theory of Relativity new window: a birth of gravitational wave astronomy -
Fred Hoyle's Universe
GENERAL ARTICLE Fred Hoyle’s Universe Jayant V Narlikar This article recalls some of the seminal contri- butions to astronomy made by Fred Hoyle. His ideas were thought to be unrealistic at the time they were proposed, but have now been assim- ilated into mainstream science. A general com- ment that emerges from such examples is that highly creative individuals who are far ahead of their times do not get the recognition they de- Jayant V Narlikar is a serve once their ideas are rediscovered and ac- cosmologist and theoretical cepted as standard: for, by the time this hap- astrophysicist. He was a pens, they and their contributions are forgotten. research student and a long-time collaborator of 1. Introduction Fred Hoyle. He is the Founder Director of Fred Hoyle was arguably the most imaginative astro- IUCCA and is currently an emeritus professor there. physicist of the 20th century. He contributed very orig- He has made strong efforts inal ideas to astronomy and astrophysics in topics rang- to promote teaching and ing from the solar system to cosmology. He also made research in astronomy in contributions to fundamental physics, in particular to the universities. He has the concept of action at a distance. His studies on exo- written extensively in English and Marathi to biology evoked the most opposition from the Establish- popularize science. ment because their implications were so far reaching. This article presents glimpses of the work of this mul- tifaceted personality who is also known to the common man as an accomplished science populariser and writer of science ¯ction. -
The Evolution of the IR Luminosity Function and Dust-Obscured Star Formation Over the Past 13 Billion Years
The Astrophysical Journal, 909:165 (15pp), 2021 March 10 https://doi.org/10.3847/1538-4357/abdb27 © 2021. The American Astronomical Society. All rights reserved. The Evolution of the IR Luminosity Function and Dust-obscured Star Formation over the Past 13 Billion Years J. A. Zavala1 , C. M. Casey1 , S. M. Manning1 , M. Aravena2 , M. Bethermin3 , K. I. Caputi4,5 , D. L. Clements6 , E. da Cunha7 , P. Drew1 , S. L. Finkelstein1 , S. Fujimoto5,8 , C. Hayward9 , J. Hodge10 , J. S. Kartaltepe11 , K. Knudsen12 , A. M. Koekemoer13 , A. S. Long14 , G. E. Magdis5,8,15,16 , A. W. S. Man17 , G. Popping18 , D. Sanders19 , N. Scoville20 , K. Sheth21 , J. Staguhn22,23 , S. Toft5,8 , E. Treister24 , J. D. Vieira25 , and M. S. Yun26 1 The University of Texas at Austin, 2515 Speedway Boulevard, Stop C1400, Austin, TX 78712, USA; [email protected] 2 Núcleo de Astronomía, Facultad de Ingeniería y Ciencias, Universidad Diego Portales, Av. Ejército 441, Santiago, Chile 3 Aix Marseille Univ, CNRS, LAM, Laboratoire d’Astrophysique de Marseille, Marseille, France 4 Kapteyn Astronomical Institute, University of Groningen, P.O. Box 800, 9700AV Groningen, The Netherlands 5 Cosmic Dawn Center (DAWN), Denmark 6 Imperial College London, Blackett Laboratory, Prince Consort Road, London, SW7 2AZ, UK 7 International Centre for Radio Astronomy Research, University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia 8 Niels Bohr Institute, University of Copenhagen, Lyngbyvej 2, DK-2100 Copenhagen, Denmark 9 Center for Computational Astrophysics, Flatiron