PTR and PTB: History of an Institution PTB Info Sheet – PTR and PTB: History of an Institution
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
A Mathematical Derivation of the General Relativistic Schwarzschild
A Mathematical Derivation of the General Relativistic Schwarzschild Metric An Honors thesis presented to the faculty of the Departments of Physics and Mathematics East Tennessee State University In partial fulfillment of the requirements for the Honors Scholar and Honors-in-Discipline Programs for a Bachelor of Science in Physics and Mathematics by David Simpson April 2007 Robert Gardner, Ph.D. Mark Giroux, Ph.D. Keywords: differential geometry, general relativity, Schwarzschild metric, black holes ABSTRACT The Mathematical Derivation of the General Relativistic Schwarzschild Metric by David Simpson We briefly discuss some underlying principles of special and general relativity with the focus on a more geometric interpretation. We outline Einstein’s Equations which describes the geometry of spacetime due to the influence of mass, and from there derive the Schwarzschild metric. The metric relies on the curvature of spacetime to provide a means of measuring invariant spacetime intervals around an isolated, static, and spherically symmetric mass M, which could represent a star or a black hole. In the derivation, we suggest a concise mathematical line of reasoning to evaluate the large number of cumbersome equations involved which was not found elsewhere in our survey of the literature. 2 CONTENTS ABSTRACT ................................. 2 1 Introduction to Relativity ...................... 4 1.1 Minkowski Space ....................... 6 1.2 What is a black hole? ..................... 11 1.3 Geodesics and Christoffel Symbols ............. 14 2 Einstein’s Field Equations and Requirements for a Solution .17 2.1 Einstein’s Field Equations .................. 20 3 Derivation of the Schwarzschild Metric .............. 21 3.1 Evaluation of the Christoffel Symbols .......... 25 3.2 Ricci Tensor Components ................. -
James Chadwick: Ahead of His Time
July 15, 2020 James Chadwick: ahead of his time Gerhard Ecker University of Vienna, Faculty of Physics Boltzmanngasse 5, A-1090 Wien, Austria Abstract James Chadwick is known for his discovery of the neutron. Many of his earlier findings and ideas in the context of weak and strong nuclear forces are much less known. This biographical sketch attempts to highlight the achievements of a scientist who paved the way for contemporary subatomic physics. arXiv:2007.06926v1 [physics.hist-ph] 14 Jul 2020 1 Early years James Chadwick was born on Oct. 20, 1891 in Bollington, Cheshire in the northwest of England, as the eldest son of John Joseph Chadwick and his wife Anne Mary. His father was a cotton spinner while his mother worked as a domestic servant. In 1895 the parents left Bollington to seek a better life in Manchester. James was left behind in the care of his grandparents, a parallel with his famous predecessor Isaac Newton who also grew up with his grandmother. It might be an interesting topic for sociologists of science to find out whether there is a correlation between children educated by their grandmothers and future scientific geniuses. James attended Bollington Cross School. He was very attached to his grandmother, much less to his parents. Nevertheless, he joined his parents in Manchester around 1902 but found it difficult to adjust to the new environment. The family felt they could not afford to send James to Manchester Grammar School although he had been offered a scholarship. Instead, he attended the less prestigious Central Grammar School where the teaching was actually very good, as Chadwick later emphasised. -
Warburg Effect(S)—A Biographical Sketch of Otto Warburg and His Impacts on Tumor Metabolism Angela M
Otto Cancer & Metabolism (2016) 4:5 DOI 10.1186/s40170-016-0145-9 REVIEW Open Access Warburg effect(s)—a biographical sketch of Otto Warburg and his impacts on tumor metabolism Angela M. Otto Abstract Virtually everyone working in cancer research is familiar with the “Warburg effect”, i.e., anaerobic glycolysis in the presence of oxygen in tumor cells. However, few people nowadays are aware of what lead Otto Warburg to the discovery of this observation and how his other scientific contributions are seminal to our present knowledge of metabolic and energetic processes in cells. Since science is a human endeavor, and a scientist is imbedded in a network of social and academic contacts, it is worth taking a glimpse into the biography of Otto Warburg to illustrate some of these influences and the historical landmarks in his life. His creative and innovative thinking and his experimental virtuosity set the framework for his scientific achievements, which were pioneering not only for cancer research. Here, I shall allude to the prestigious family background in imperial Germany; his relationships to Einstein, Meyerhof, Krebs, and other Nobel and notable scientists; his innovative technical developments and their applications in the advancement of biomedical sciences, including the manometer, tissue slicing, and cell cultivation. The latter were experimental prerequisites for the first metabolic measurements with tumor cells in the 1920s. In the 1930s–1940s, he improved spectrophotometry for chemical analysis and developed the optical tests for measuring activities of glycolytic enzymes. Warburg’s reputation brought him invitations to the USA and contacts with the Rockefeller Foundation; he received the Nobel Prize in 1931. -
From Relativistic Time Dilation to Psychological Time Perception
From relativistic time dilation to psychological time perception: an approach and model, driven by the theory of relativity, to combine the physical time with the time perceived while experiencing different situations. Andrea Conte1,∗ Abstract An approach, supported by a physical model driven by the theory of relativity, is presented. This approach and model tend to conciliate the relativistic view on time dilation with the current models and conclusions on time perception. The model uses energy ratios instead of geometrical transformations to express time dilation. Brain mechanisms like the arousal mechanism and the attention mechanism are interpreted and combined using the model. Matrices of order two are generated to contain the time dilation between two observers, from the point of view of a third observer. The matrices are used to transform an observer time to another observer time. Correlations with the official time dilation equations are given in the appendix. Keywords: Time dilation, Time perception, Definition of time, Lorentz factor, Relativity, Physical time, Psychological time, Psychology of time, Internal clock, Arousal, Attention, Subjective time, Internal flux, External flux, Energy system ∗Corresponding author Email address: [email protected] (Andrea Conte) 1Declarations of interest: none Preprint submitted to PsyArXiv - version 2, revision 1 June 6, 2021 Contents 1 Introduction 3 1.1 The unit of time . 4 1.2 The Lorentz factor . 6 2 Physical model 7 2.1 Energy system . 7 2.2 Internal flux . 7 2.3 Internal flux ratio . 9 2.4 Non-isolated system interaction . 10 2.5 External flux . 11 2.6 External flux ratio . 12 2.7 Total flux . -
GNBS International System of Units Booklet
I Table of INTRODUCTION CONTENTS The purpose of this booklet Learn About... 3 is to enable Guyanese to become familiar with • Guyana National Bureau 3 the metric system and, in of Standards (GNBS). particular, the International System of Units or SI Units. With most of the world We Look to the Future using the metric system of 5 measurements, these SI • Why do we need 5 units are now an intrinsic Measurement Standards? part of our lives. • The Role of Measurements 6 The meat, flour, fruit and in our Daily Lives. vegetables we buy; the pills, tablets and capsules doctors prescribe; the distances vehicles cover and boats Learn More On... 7 sail and athletes run, as • What is the SI? 7 well as fabric bought for our garments to be made • Why use the SI? 8 from are all weighed and measured using SI units. Given this trend, Guyana Learn the Units 9 must fully embrace metric • What are the SI Units? 9 measurements. Thus, this booklet intends to promote • The Basics of the Metric 11 a culture in which Guyanese System in use everyday. not only “think metric” but also actively use the SI units - The Kilogram 11 in their everyday lives. II III - The Kilometre 13 Guyana National - The Litre 15 Bureau of learn Standards Using the Basic Units 17 about... • Converting between Units 17 (GNBS) • Temperature 18 The Guyana National Bureau of Standards (GNBS) operates under • Writing Dates 19 the Ministry of Tourism, Industry and commerce as a semi - • Writing Times 19 -autonomous governmental organization responsible for standards and quality in Guyana. -
Physics Connections
Charles Tracy L P S / y a a w s n e v a R n a v v e l t e D Physics connections Last year we celebrated the International Year of Physics — time and light. In particular, it described how space also known as Einstein Year. In the century since Einstein’s becomes distorted near a massive object such as a star, so that light follows a curved path rather than annus mirabilis (see CATALYST Vol. 16, No. 1) there has travelling in a straight line (Figure 1). been a revolution in the study of physics. This article explores Its publication in wartime and the fact that it was the links between some of the architects of this revolution. written in German meant that few people read it. However, one person who did read it was the British astronomer Arthur Eddington. The story goes that it was Eddington who brought Einstein to the world’s attention — though Einstein might have disagreed. instein did not become instantly famous in Eddington was a conscientious objector. As such, GCSE key words 1905; it took several years before he became a he should have spent the war in jail. Instead, he got Gravity Eglobal icon. In 1915, while Europe was caught official permission to prepare for a trip to observe a Alpha particle scattering up in the First World War, Einstein broadened his total eclipse of the Sun — a rare event. His intention Nuclear fission special theory of relativity. His general theory of was to verify Einstein’s general theory of relativity. -
Misura E Strumenti Di Misura
® MISURA E STRUMENTI DI MISURA (G) MISURA: g = G : grandezza (numero) U(G) U(G) : unita' di misura di G Come si effettua la misura ? diretta MISURA indiretta confronto diretto con unita' di misura DIRETTA: (Grandezze omogenee) con strumento "tarato" es. : termometro, voltmetro ... INDIRETTA: dalla relazione fisica con altre grandezze es. : P = F/S STRUMENTO DI MISURA: dispositivo per determinare g 30 RIVELATORE: sensibile a grandezza da misurare (sollecitazione) TRASDUTTORE: trasforma sollecitazione STRUMENTO in grandezza facilmente misurabile VISUALIZZATORE: visualizza grandezza trasformata RIVELATORE: Mercurio Es. TERMOMETRO TRASDUTTORE: Mercurio + capillare VISUALIZZATORE: capillare + scala tarata RIVELATORE: bobina mobile in campo magnetico Es. AMPEROMETRO TRASDUTTORE: movimento bobina (rotazione ago) VISUALIZZATORE: posizione ago su scala "tarata" 31 CARATTERISTICHE STRUMENTO INTERVALLO FUNZ. (valore min-max grandezza) PRONTEZZA: tempo necessario per reagire alla sollecitazione τ τ = tempo caratteristico strumento τ (termometro) ~ secondi τ (oscilloscopio) ~ 10 -9 s SENSIBILITA`: ∆R(G) dR R(G): risposta S = = ∆V(G) dV V(G): valore grandezza se R lineare in V(G): S = cost. Altrimenti S funzione di V(G) (Ohmetro) Dimensioni : [G] -1 Es. Bilancia: S in DIV/mg 32 PRECISIONE: capacita' strumento a dare stessa risposta a stessa sollecitazione MISURE RIPETUTE (sensibilit : 1/∆g) N N g(G) g(G) ∆g GIUSTEZZA: assenza di effetti sistematici Difetto strumento (termometro: capillare a sezione variabile) Uso strumento in condizioni errate (regolo -
EINSTEIN and NAZI PHYSICS When Science Meets Ideology and Prejudice
MONOGRAPH Mètode Science Studies Journal, 10 (2020): 147-155. University of Valencia. DOI: 10.7203/metode.10.13472 ISSN: 2174-3487. eISSN: 2174-9221. Submitted: 29/11/2018. Approved: 23/05/2019. EINSTEIN AND NAZI PHYSICS When science meets ideology and prejudice PHILIP BALL In the 1920s and 30s, in a Germany with widespread and growing anti-Semitism, and later with the rise of Nazism, Albert Einstein’s physics faced hostility and was attacked on racial grounds. That assault was orchestrated by two Nobel laureates in physics, who asserted that stereotypical racial features are exhibited in scientific thinking. Their actions show how ideology can infect and inflect science. Reviewing this episode in the current context remains an instructive and cautionary tale. Keywords: Albert Einstein, Nazism, anti-Semitism, science and ideology. It was German society, Einstein said, that revealed from epidemiology and research into disease (the to him his Jewishness. «This discovery was brought connection of smoking to cancer, and of HIV to home to me by non-Jews rather than Jews», he wrote AIDS) to climate change, this idea perhaps should in 1929 (cited in Folsing, 1998, p. 488). come as no surprise. But it is for that very reason that Shortly after the boycott of Jewish businesses at the the hostility Einstein’s physics sometimes encountered start of April 1933, the German Students Association, in Germany in the 1920s and 30s remains an emboldened by Hitler’s rise to total power, declared instructive and cautionary tale. that literature should be cleansed of the «un-German spirit». The result, on 10 May, was a ritualistic ■ AGAINST RELATIVITY burning of tens of thousands of books «marred» by Jewish intellectualism. -
Sterns Lebensdaten Und Chronologie Seines Wirkens
Sterns Lebensdaten und Chronologie seines Wirkens Diese Chronologie von Otto Sterns Wirken basiert auf folgenden Quellen: 1. Otto Sterns selbst verfassten Lebensläufen, 2. Sterns Briefen und Sterns Publikationen, 3. Sterns Reisepässen 4. Sterns Züricher Interview 1961 5. Dokumenten der Hochschularchive (17.2.1888 bis 17.8.1969) 1888 Geb. 17.2.1888 als Otto Stern in Sohrau/Oberschlesien In allen Lebensläufen und Dokumenten findet man immer nur den VornamenOt- to. Im polizeilichen Führungszeugnis ausgestellt am 12.7.1912 vom königlichen Polizeipräsidium Abt. IV in Breslau wird bei Stern ebenfalls nur der Vorname Otto erwähnt. Nur im Emeritierungsdokument des Carnegie Institutes of Tech- nology wird ein zweiter Vorname Otto M. Stern erwähnt. Vater: Mühlenbesitzer Oskar Stern (*1850–1919) und Mutter Eugenie Stern geb. Rosenthal (*1863–1907) Nach Angabe von Diana Templeton-Killan, der Enkeltochter von Berta Kamm und somit Großnichte von Otto Stern (E-Mail vom 3.12.2015 an Horst Schmidt- Böcking) war Ottos Großvater Abraham Stern. Abraham hatte 5 Kinder mit seiner ersten Frau Nanni Freund. Nanni starb kurz nach der Geburt des fünften Kindes. Bald danach heiratete Abraham Berta Ben- der, mit der er 6 weitere Kinder hatte. Ottos Vater Oskar war das dritte Kind von Berta. Abraham und Nannis erstes Kind war Heinrich Stern (1833–1908). Heinrich hatte 4 Kinder. Das erste Kind war Richard Stern (1865–1911), der Toni Asch © Springer-Verlag GmbH Deutschland 2018 325 H. Schmidt-Böcking, A. Templeton, W. Trageser (Hrsg.), Otto Sterns gesammelte Briefe – Band 1, https://doi.org/10.1007/978-3-662-55735-8 326 Sterns Lebensdaten und Chronologie seines Wirkens heiratete. -
Appendix E Nobel Prizes in Nuclear Science
Nuclear Science—A Guide to the Nuclear Science Wall Chart ©2018 Contemporary Physics Education Project (CPEP) Appendix E Nobel Prizes in Nuclear Science Many Nobel Prizes have been awarded for nuclear research and instrumentation. The field has spun off: particle physics, nuclear astrophysics, nuclear power reactors, nuclear medicine, and nuclear weapons. Understanding how the nucleus works and applying that knowledge to technology has been one of the most significant accomplishments of twentieth century scientific research. Each prize was awarded for physics unless otherwise noted. Name(s) Discovery Year Henri Becquerel, Pierre Discovered spontaneous radioactivity 1903 Curie, and Marie Curie Ernest Rutherford Work on the disintegration of the elements and 1908 chemistry of radioactive elements (chem) Marie Curie Discovery of radium and polonium 1911 (chem) Frederick Soddy Work on chemistry of radioactive substances 1921 including the origin and nature of radioactive (chem) isotopes Francis Aston Discovery of isotopes in many non-radioactive 1922 elements, also enunciated the whole-number rule of (chem) atomic masses Charles Wilson Development of the cloud chamber for detecting 1927 charged particles Harold Urey Discovery of heavy hydrogen (deuterium) 1934 (chem) Frederic Joliot and Synthesis of several new radioactive elements 1935 Irene Joliot-Curie (chem) James Chadwick Discovery of the neutron 1935 Carl David Anderson Discovery of the positron 1936 Enrico Fermi New radioactive elements produced by neutron 1938 irradiation Ernest Lawrence -
Chronological List of Correspondence, 1895–1920
CHRONOLOGICAL LIST OF CORRESPONDENCE, 1895–1920 In this chronological list of correspondence, the volume and document numbers follow each name. Documents abstracted in the calendars are listed in the Alphabetical List of Texts in this volume. 1895 13 or 20 Mar To Mileva Maric;;, 1, 45 29 Apr To Rosa Winteler, 1, 46 Summer To Caesar Koch, 1, 6 18 May To Rosa Winteler, 1, 47 28 Jul To Julia Niggli, 1, 48 Aug To Rosa Winteler, 5: Vol. 1, 48a 1896 early Aug To Mileva Maric;;, 1, 50 6? Aug To Julia Niggli, 1, 51 21 Apr To Marie Winteler, with a 10? Aug To Mileva Maric;;, 1, 52 postscript by Pauline Einstein, after 10 Aug–before 10 Sep 1,18 From Mileva Maric;;, 1, 53 7 Sep To the Department of Education, 10 Sep To Mileva Maric;;, 1, 54 Canton of Aargau, 1, 20 11 Sep To Julia Niggli, 1, 55 4–25 Nov From Marie Winteler, 1, 29 11 Sep To Pauline Winteler, 1, 56 30 Nov From Marie Winteler, 1, 30 28? Sep To Mileva Maric;;, 1, 57 10 Oct To Mileva Maric;;, 1, 58 1897 19 Oct To the Swiss Federal Council, 1, 60 May? To Pauline Winteler, 1, 34 1900 21 May To Pauline Winteler, 5: Vol. 1, 34a 7 Jun To Pauline Winteler, 1, 35 ? From Mileva Maric;;, 1, 61 after 20 Oct From Mileva Maric;;, 1, 36 28 Feb To the Swiss Department of Foreign Affairs, 1, 62 1898 26 Jun To the Zurich City Council, 1, 65 29? Jul To Mileva Maric;;, 1, 68 ? To Maja Einstein, 1, 38 1 Aug To Mileva Maric;;, 1, 69 2 Jan To Mileva Maric;; [envelope only], 1 6 Aug To Mileva Maric;;, 1, 70 13 Jan To Maja Einstein, 8: Vol. -
Theory and Experiment in the Quantum-Relativity Revolution
Theory and Experiment in the Quantum-Relativity Revolution expanded version of lecture presented at American Physical Society meeting, 2/14/10 (Abraham Pais History of Physics Prize for 2009) by Stephen G. Brush* Abstract Does new scientific knowledge come from theory (whose predictions are confirmed by experiment) or from experiment (whose results are explained by theory)? Either can happen, depending on whether theory is ahead of experiment or experiment is ahead of theory at a particular time. In the first case, new theoretical hypotheses are made and their predictions are tested by experiments. But even when the predictions are successful, we can’t be sure that some other hypothesis might not have produced the same prediction. In the second case, as in a detective story, there are already enough facts, but several theories have failed to explain them. When a new hypothesis plausibly explains all of the facts, it may be quickly accepted before any further experiments are done. In the quantum-relativity revolution there are examples of both situations. Because of the two-stage development of both relativity (“special,” then “general”) and quantum theory (“old,” then “quantum mechanics”) in the period 1905-1930, we can make a double comparison of acceptance by prediction and by explanation. A curious anti- symmetry is revealed and discussed. _____________ *Distinguished University Professor (Emeritus) of the History of Science, University of Maryland. Home address: 108 Meadowlark Terrace, Glen Mills, PA 19342. Comments welcome. 1 “Science walks forward on two feet, namely theory and experiment. ... Sometimes it is only one foot which is put forward first, sometimes the other, but continuous progress is only made by the use of both – by theorizing and then testing, or by finding new relations in the process of experimenting and then bringing the theoretical foot up and pushing it on beyond, and so on in unending alterations.” Robert A.