"The Virtue of Heresy - Confessions of a Dissident Astronomer" is a narrative account of the 30-year struggle by the author to put the "physical" back into "physics". With sporadic assistance from a fictional alter-ego character named Haquar, the author traces the history of astronomy and physics to the point of their confluence with meta-mathematics. From there on, the fundamental hypotheses of cosmology, and indeed of physical science generally, became increasingly detached from observed reality and more like psychedelic mind games than works of empirical science. Hilton Ratcliffe guilelessly confronts these issues head-on, spicing the tale with humour and fascinating anecdotes of his association with some of the finest scientific minds of our era. His passion for true science and child-like awe at the wonders of the Universe are infused in every line. A classic.

This book is an introductory text in General Relativity, while also focusing some solutions to the cosmological constant problem, which consists in an amazing 100 orders of magnitude discrepancy between the value of this constant in the present Universe, and its estimated value in the very early epoch. The author suggests that the constant is in fact, a time-varying function of the age of the Universe. The book offers a wealth of cosmological models, treats up to date findings, like the verification of the Lense-Thirring effect in the year 2004, and the recently published research by Cooperstock and Tieu (2005) suggesting that "dark" matter is not a necessary concept in order to explain the rotational velocities of stars around galaxies' nuclei. This is a mathematical cosmology textbook that may lead undergraduates, and graduate students to one of the frontiers of research, while keeping the prerequisites to a minimum, because most of the theory in the book requires only prior knowledge of Calculus and a University Physics course.

Fred Hoyle was one of the most widely acclaimed and colourful scientists of the twentieth century, a down-to-earth Yorkshireman who combined a brilliant scientific mind with a relish for communication and controversy. Best known for his steady-state theory of cosmology, he described a universe with both an infinite past and an infinite future. He coined the phrase 'big bang' to describe the main competing theory, and sustained a long-running, sometimes ill-tempered, and typically public debate with his scientific rivals. He showed how the elements are formed by nuclear reactions inside stars, and explained how we are therefore all formed from stardust. He also claimed that diseases fall from the sky, attacked Darwinism, and branded the famous fossil of the feathered Archaeopteryx a fake. Throughout his career, Hoyle played a major role in the popularization of science. Through his radio broadcasts and his highly successful science fiction novels he became a household name, though his outspokenness and support for increasingly outlandish causes later in life at times antagonized the scientific community. Jane Gregory builds up a vivid picture of Hoyle's role in the ideas, the organization, and the popularization of astronomy in post-war Britain, and provides a fascinating examination of the relationship between a maverick scientist, the scientific establishment, and the public. Through the life of Hoyle, this book chronicles the triumphs, jealousies, rewards, and feuds of a rapidly developing scientific field, in a narrative animated by a cast of colourful astronomers, keeping secrets, losing their tempers, and building their careers here on Earth while contemplating the nature of the stars.

Introduction to Relativity is intended to teach physics and astronomy majors at the freshman, sophomore or upper-division levels how to think about special and general relativity in a fundamental, but accessible, way. Designed to render any reader a "master of relativity," everything on the subject is comprehensible and derivable from first principles. The book emphasizes problem solving, contains abundant problem sets, and is conveniently organized to meet the needs of both student and instructor.
* Simplicity: the book teaches space and time in relativity in a physical fashion with minimal mathematics
* Conciseness: the book teaches relativity by emphasizing the basic simplicity of the principles at work
* Visualization: space-time diagrams (Minkowski) illustrate phenomena from simultaneity to the resolution of the twin paradox in a concrete fashion
* Worked problems: two chapters of challenging problems solved in several ways illustrate and teach the principles
* Problem sets: each chapter is accompanied by a full set of problems for the student that teach the principles and some new phenonmena

"Ptolemy's Universe" is a modern examination of the cosmological and philosophical dimensions of Ptolemy's thought as presented in his astronomical works. Claudius Ptolemy (second century AD) ranks as one of the most important figures in the history of science, especially renowned for his contribution to mathematical astronomy. Within astronomical works such as "The Mathematical Syntaxis", Ptolemy presented some of his views on natural philosophy, epistemology and ethics, and explained their pertinence to his astronomy. While much has been written about Ptolemy's mathematical work, few attempts have been made to understand his philosophical and cosmological ideas. In this book, Dr Taub shows how Ptolemy's conception of the celestial bodies as divine beings shaped his philosophical thinking, and how this in turn influenced his study of the heavens. Dr Taub's examination of the place of Ptolemy's ideas within the broader context of Greek philosophy, mathematics and culture, provides insights into the nature of Greek scientific thought.

What are the mysterious numbers that unlock the secrets of the universe? In Fantastic Numbers and Where to Find Them, leading theoretical physicist and YouTube star Tony Padilla takes us on an irreverent cosmic tour of the most extraordinary numbers in physics, using them to build a picture of how the universe works. These include Graham's number, which is so large that if you thought about it in the wrong way, your head would collapse into a singularity; TREE(3) and the mathematical games that could carry on until the universe reset itself; and 10^{-120}, which measures the desperately unlikely balance of energy the universe, and you, need to exist. Leading us down the rabbit hole to the inner workings of reality, Padilla demonstrates how these unusual numbers-big, small and worryingly infinite-are the key to unlocking such mind-bending phenomena as black holes, the holographic truth and the problem of the cosmological constant, where our two best theories of the universe come together with embarrassing consequences. Combining cutting-edge science with an entertaining cosmic quest, Fantastic Numbers and Where to Find Them is an electrifying, head-twisting guide to the most fundamental truths of the universe.

The two-volume book Gravitational Waves provides a comprehensive and detailed account of the physics of gravitational waves. While Volume 1 is devoted to the theory and experiments, Volume 2 discusses what can be learned from gravitational waves in astrophysics and in cosmology, by systematizing a large body of theoretical developments that have taken place over the last decades. The second volume also includes a detailed discussion of the first direct detections of gravitational waves. In the author's typical style, the theoretical results are generally derived afresh, clarifying or streamlining the existing derivations whenever possible, and providing a coherent and consistent picture of the field. The first volume of Gravitational Waves, which appeared in 2007, has established itself as the standard reference in the field. The scientific community has eagerly awaited this second volume. The recent direct detection of gravitational waves makes the topics in this book particularly timely.

Working physicists, and especially astrophysicists, value a good `back-of-the-envelope' calculation, meaning a short, elegant computation or argument that starts from general principles and leads to an interesting result. This book guides students on how to understand astrophysics using general principles and concise calculations - endeavouring to be elegant where possible and using short computer programs where necessary. The material proceeds in approximate historical order. The book begins with the Enlightenment-era insight that the orbits of the planets is easy, but the orbit of the Moon is a real headache, and continues to deterministic chaos. This is followed by a chapter on spacetime and black holes. Four chapters reveal how microphysics, especially quantum mechanics, allow us to understand how stars work. The last two chapters are about cosmology, bringing us to 21st-century developments on the microwave background and gravitational waves.

This essential book describes the mathematical formulations and subsequent computer simulations required to accurately project the trajectory of spacecraft and rockets in space, using the formalism of optimal control for minimum-time transfer in general elliptic orbit. The material will aid research students in aerospace engineering, as well as practitioners in the field of spaceflight dynamics, in developing simulation software to carry out trade studies useful in vehicle and mission design. It will teach readers to develop flight software for operational applications in autonomous mode, so to actually transfer space vehicles from one orbit to another. The practical, real-life applications discussed will give readers a clear understanding of the mathematics of orbit transfer, allow them to develop their own operational software to fly missions, and to use the contents as a research tool to carry out even more complex analyses.

This book captures the complex world of planetary moons, which are more diverse than Earth's sole satellite might lead you to believe. New missions continue to find more of these planetary satellites, making an up to date guide more necessary than ever. Why do Mercury and Venus have no moons at all? Earth's Moon, of course, is covered in the book with highly detailed maps. Then we move outward to the moons of Mars, then on to many of the more notable asteroid moons, and finally to a list of less-notable ones. All the major moons of the gas giant planets are covered in great detail, while the lesser-known satellites of these worlds are also touched on. Readers will learn of the remarkable trans-Neptunian Objects - Pluto, Eris, Sedna, Quaoar -including many of those that have been given scant attention in the literature. More than just objects to read about, the planets' satellites provide us with important information about the history of the solar system. Projects to help us learn more about the moons are included throughout the book. Most amateur astronomers can name some of the more prominent moons in the solar system, but few are intimately familiar with the full variety that exists in our backyard: 146 and counting. As our understanding of the many bodies in our solar system broadens, this is an invaluable tour of our expanding knowledge of the moons both near and far.

Our understanding of the formation of stars and planetary systems has changed greatly since the first edition of this book was published. This new edition has been thoroughly updated, and now includes material on molecular clouds, binaries, star clusters and the stellar initial mass function (IMF), disk evolution and planet formation. This book provides a comprehensive picture of the formation of stars and planetary systems, from their beginnings in cold clouds of molecular gas to their emergence as new suns with planet-forming disks. At each stage gravity induces an inward accretion of mass, and this is a central theme for the book. The author brings together current observations, rigorous treatments of the relevant astrophysics, and 150 illustrations, to clarify the sequence of events in star and planet formation. It is a comprehensive account of the underlying physical processes of accretion for graduate students and researchers.

The great theoretical physicist and Nobel Prize winnder, Richard Feynman, left an indelible imprint on scientific thought. On 14 March 1964 he delivered a remarkable lecture which, until now, was believed to be lost. His lecture was about a single fact, though by no means a small one. When a planet or a comet or any other body arcs through space under the influence of gravity, it traces out one of a very special set of mathematical curves, known as the conic sections. But why does nature choose to describe those, and only those, elegant geometrical constructions ? In this book Feynman's lost lecture has been reconstructed and explained in meticulous, accessible detail, together with a history of ideas of the planets' motions.

It can be enjoyed by the specialist and non-specialist alike and provides us all with an invaluable insight into the mind of one of this century's greatest scientists.

The search for life in the universe, once the stuff of science fiction, is now a robust worldwide research program with a well-defined roadmap probing both scientific and societal issues. This volume examines the humanistic aspects of astrobiology, systematically discussing the approaches, critical issues, and implications of discovering life beyond Earth. What do the concepts of life and intelligence, culture and civilization, technology and communication mean in a cosmic context? What are the theological and philosophical implications if we find life - and if we do not? Steven J. Dick argues that given recent scientific findings, the discovery of life in some form beyond Earth is likely and so we need to study the possible impacts of such a discovery and formulate policies to deal with them. The remarkable and often surprising results are presented here in a form accessible to disciplines across the sciences, social sciences, and humanities.

The Moon has always been an object of immense fascination for humanity - and not just because of its prominence in the night sky. With its complex orbit, it is far closer to our planet than any other celestial body. Already in ancient Babylon, humans have studied the Moon and its relationship to the planets and constellations. Through incisive texts and illustrations using photos and computer simulations, this book explores the similarities and differences to other planets and their moons, the Moon's interactions with the Sun and the Earth, and interesting historical associations. In addition to scientifically accurate texts, it contains numerous large-format photographs and graphics that vividly explain the complex phenomenon of the Moon. Richly illustrated, it is designed for anyone interested in astronomy.

This book contains theory and applications of gravity both for physical geodesy and geophysics. It identifies classical and modern topics for studying the Earth. Worked-out examples illustrate basic but important concepts of the Earth's gravity field. In addition, coverage details the Geodetic Reference System 1980, a versatile tool in most applications of gravity data. The authors first introduce the necessary mathematics. They then review classic physical geodesy, including its integral formulas, height systems and their determinations. The next chapter presents modern physical geodesy starting with the original concepts of M.S. Molodensky. A major part of this chapter is a variety of modifying Stokes' formula for geoid computation by combining terrestrial gravity data and an Earth Gravitational Model. Coverage continues with a discussion that compares today's methods for modifying Stokes' formulas for geoid and quasigeoid determination, a description of several modern tools in physical geodesy, and a review of methods for gravity inversion as well as analyses for temporal changes of the gravity field. This book aims to broaden the view of scientists and students in geodesy and geophysics. With a focus on theory, it provides basic and some in-depth knowledge about the field from a geodesist's perspective.

Accounting for the astonishing developments in the field of "Extragalactic Astronomy and Cosmology," this second edition has been updated and substantially expanded. Starting with the description of our home galaxy, the Milky Way, this cogently written textbook introduces the reader to the astronomy of galaxies, their structure, active galactic nuclei, evolution and large scale distribution in the Universe. After an extensive and thorough introduction to modern observational and theoretical cosmology, the focus turns to the formation of structures and astronomical objects in the early Universe. The basics of classical astronomy and stellar astrophysics needed for extragalactic astronomy are provided in the appendix.

The new edition incorporates some of the most spectacular results from new observatories like the Galaxy Evolution Explorer, Herschel, ALMA, WMAP and Planck, as well as new instruments and multi-wavelength campaigns which have expanded our understanding of the Universe and the objects populating it. This includes new views on the galaxy population in the nearby Universe, on elliptical galaxies, as well as a deeper view of the distant Universe approaching the dark ages, and an unprecedented view of the distant dusty Universe. Schneider also discusses the impressive support for the standard model of the Universe, which has been substantially strengthened by recent results, including baryon acoustic oscillations (an approach which has significantly matured over the years), results from the completed WMAP mission and from the first Planck results, which have confirmed and greatly improved on these findings, not least by measuring the gravitational lensing effect on the microwave background. Further, a new chapter focusing on galaxy evolution illustrates how well the observations of distant galaxies and their central supermassive black holes can be understood in a general framework of theoretical ideas, models, and numerical simulations.

Peter Schneider s "Extragalactic Astronomy and Cosmology" offers fundamental information on this fascinating subfield of astronomy, while leading readers to the forefront of astronomical research. But it seeks to accomplish this not only with extensive textual information and insights; the author s own passion for exploring the workings of the Universe, which can be seen in the text and the many supporting color illustrations, will further inspire the reader.
While this book has grown out of introductory university courses on astronomy and astrophysics and includes a set of problems and solutions, it will not only benefit undergraduate students and lecturers; thanks to the comprehensive coverage of the field, even graduate students and researchers specializing in related fields will appreciate it as a valuable reference work.

From the reviews of the first edition:

..".Masterful blending of observation and theory; lucid exposition... (D. E. Hogg, CHOICE, Vol. 44 (10), June, 2007)"

"Through the richness of the color illustrations and through the deep insight of the content, the book will most certainly lead the reader to the forefront of astronomical research in this very interesting and fascinating domain of astronomy. will not only be highly appreciated by undergraduate students in astronomy but also by graduate students and researchers involved in the field who will certainly appreciate its comprehensive coverage. (Emile Biemont, Physicalia Magazine, Vol. 29 (4), 2007)"
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It is generally believed that most of the matter in the universe is dark, i.e. cannot be detected from the light which it emits (or fails to emit). Its presence is inferred indirectly from the motions of astronomical objects, specifically stellar, galactic, and galaxy cluster/supercluster observations. It is also required in order to enable gravity to amplify the small fluctuations in the cosmic microwave background enough to form the large-scale structures that we see in the universe today. For each of the stellar, galactic, and galaxy cluster/supercluster observations the basic principle is that if we measure velocities in some region, then there has to be enough mass there for gravity to stop all the objects flying apart. Dark matter has important consequences for the evolution of the universe and the structure within it. According to general relativity, the universe must conform to one of three possible types: open, flat, or closed. The total amount of mass and energy in the universe determines which of the three possibilities applies to the universe. In the case of an open universe, the total mass and energy density (denoted by the Greek letter U) is less than unity. If the universe is closed, U is greater than unity. For the case where U is exactly equal to one the universe is "flat". This new book details leading-edge research from around the globe.

Through the lens of Chinese food, the authors address recent theories in social science concerning cultural identity, ethnicity, boundary formation, consumerism and globalization, and the invention of local cuisine in the context of rapid culture change in East and Southeast Asia.

Do you ever look up to the stars and wonder about what is out there? Over the last few centuries, humans have successfully unraveled much of the language of the universe, exploring and defining formerly mysterious phenomena such as electricity, magnetism, and matter through the beauty of mathematics. But some secrets remain beyond our realm of understanding-and seemingly beyond the very laws and theories we have relied on to make sense of the universe we inhabit. It is clear that the quantum, the world of atoms and electrons, is entwined with the cosmos, a universe of trillions of stars and galaxies...but exactly how these two extremes of human understanding interact remains a mystery. Where Did the Universe Come From? And Other Cosmic Questions allows readers to eavesdrop on a conversation between award-winning physicists Chris Ferrie and Geraint F. Lewis as they examine the universe through the two unifying and yet often contradictory lenses of classical physics and quantum mechanics, tackling questions such as: Where did the universe come from?Why do dying stars rip themselves apartDo black holes last forever?What is left for humans to discover?A brief but fascinating exploration of the vastness of the universe, this book will have armchair physicists turning the pages until their biggest and smallest questions about the cosmos have been answered.

Relativity theory is based on a postulate of locality, which means that the past history of the observer is not directly taken into account. This book argues that the past history should be taken into account. In this way, nonlocality--in the sense of history dependence--is introduced into relativity theory. The deep connection between inertia and gravitation suggests that gravity could be nonlocal, and in nonlocal gravity the fading gravitational memory of past events must then be taken into account. Along this line of thought, a classical nonlocal generalization of Einstein's theory of gravitation has recently been developed. A significant consequence of this theory is that the nonlocal aspect of gravity appears to simulate dark matter. According to nonlocal gravity theory, what astronomers attribute to dark matter should instead be due to the nonlocality of gravitation. Nonlocality dominates on the scale of galaxies and beyond. Memory fades with time; therefore, the nonlocal aspect of gravity becomes weaker as the universe expands. The implications of nonlocal gravity are explored in this book for gravitational lensing, gravitational radiation, the gravitational physics of the Solar System and the internal dynamics of nearby galaxies, as well as clusters of galaxies. This approach is extended to nonlocal Newtonian cosmology, where the attraction of gravity fades with the expansion of the universe. Thus far, scientists have only compared some of the consequences of nonlocal gravity with astronomical observations.

There is a crisis in modern science that few theorists are willing to confront. In The Virtue of Heresy: Confessions of a Dissident Astronomer, renowned physicist and astronomer Hilton Ratcliffe, founding member of the Alternative Cosmology Group and co-discoverer of the CNO nuclear fusion cycle on the Sun’s surface, delivers to science aficionados his straightforward and highly compelling explanation of, and challenge to, many widely-held scientific beliefs that fall apart under scrutiny.

Ratcliffe not only points out the fallacy of commonly held beliefs often promoted by the global scientific community, but, through a close (and sometimes humorous) examination of theoretical physics, presents a convincing argument for alternative theory. The heresy of which he writes—that is, our unwillingness to accept at face value all that is spooned to us by ‘the experts’—is presented not as a liability, but as a virtue essential to the progress of scientific thought.

For Akiva Jaap Vroman "a day in the infinite past" is nonsense. All the days that have elapsed belong to a past of countable days; they started on a first day a finite number of days ago. Time began this first day. It follows that an eternal past does not exist. Vroman bases his reasoning on a simple mathematical law: an infinite quantity remains the same infinite quantity if a finite quantity, however large, is subtracted from it. "On God, Space, and Time" devotes itself to this proof. "On God, Space, and Time" is rooted in the epistemological thinking of Immanuel Kant and Jean Piaget and the law of Leucippus, and draws from the somewhat disparate fields of psychology, physiology, mathematics, and physics. Vroman discusses the modern vindication of the existence of the Creator using ontological arguments, which observe the cosmos solely through our sense-perceptions and the world of space and matter. He balances this worldview with a discussion of brain chemistry and physiology in "God, Mind, and Body" showing that the world of space and matter is nothing but an interpretation made by our working mind. Vroman also describes the Spanish-based Jewish philosophers of the Middle Ages who came close to solving the Genesis-Creation contradiction, which cannot be reconciled through the external world of Greek philosophy. As we travel through time with Vroman, who ranges easily and poetically over important concepts and influential thinkers, we encounter a variety of subjects: Spinoza's new definition of God and the authority of reason in the age of Descartes, Leibniz, and Newton; Jewish idealists, such as Nachman Krochmal, Solomon L. Steinman, Solomon Formstecher, and Samuel Hirsch; the concept of space-time; and Johann Gottlieb Fichte, Arthur Schopenhauer, Max Wentscher, and Charles Darwin. He presents engaging, worthwhile discussions of futurology; the astrological world of sub-lunar events; religious eschatology, specifically the Jewish and Christian Messiah; apocalyptic revelation in psychological science, the future of the universe, God and moral virtue, the medical approach to the question of life and death, and finally, personal thoughts on religious worship and service based on reason and moral sense. "On God, Space, and Time"a valuable historical synthesis of Western thought on man's vision of God, and consequently reality. This volume will interest many, particularly those intrigued by philosophy, religion, and futurology.

Dynamical systems provide powerful methods for the study of profound properties of many-dimensional nonlinear systems. In this unique book, the authors offer a consistent geometrical treatment of observational cosmology from the concepts of the theory of dynamical systems. The dynamics of clusters of galaxies differ drastically from stellar dynamics, thus requiring a mathematical approach to large-scale problems. Since mathematical techniques are not a familiar tool in this field, a full summary of the elementary ideas of differential geometry, ergodic theory and catastrophe theory are also considered in this exploratory text. Readership: Mathematicians, astrophysicists, and cosmologists, as well as anyone interested in the many subject disciplines related to geometrical and topological aspects of the large-scale universe.

This volume, together with Volumes 22 and 23 of the same series, contains Euler's contributions to the theory of the movement of the sun and especially of the moon. Time and again Euler worked on the program of applying Newton's principles of mechanics to improve our unterstanding of the movement of the celestial bodies. Euler's monumental "Theoria motuum Lunae nova methodo pertractata" of 1772 (his "Second Theory of the Moon") forms Volume 22, whereas Volume 23 mainly contains his early Astronomical Tables and his "First Theory of the Moon" of 1753. In the present volume the reader will find early papers by Euler pertaining to the preparation of his Astronomical Tables, a series of articles written between his two Theories of the Moon, and finally three substantial essays closely related to his "Second Theory of the Moon." The texts are reprinted in the original language most commonly French or Latin.