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This concise book reviews methods used for gluing space-time manifolds together. It is therefore relevant to theorists working on branes, walls, domain walls, concepts frequently used in theoretical cosmology, astrophysics, and gravity theory. Nowadays, applications are also in theoretical condensed matter physics where Riemannian geometry appears. The book also reviews the history of matching conditions between two space-time manifolds from the early times of general relativity up to now.

This open access monograph offers a detailed study and a systematic defense of a key intuition we typically have, as human beings, with respect to the nature of time: the intuition that the future is open, whereas the past is fixed. For example, whereas it seems unsettled whether there will be a fourth world war, it is settled that there was a first world war.The book contributes, in particular, three major and original insights. First, it provides a coherent, non-metaphorical, and metaphysically illuminating elucidation of the intuition. Second, it determines which model of the temporal structure of the world is most appropriate to accommodate the intuition, and settles on a specific version of the Growing Block Theory of time (GBT). Third, it puts forward a naturalistic foundation for GBT, by exploiting recent results of our best physics (viz. General Relativity, Quantum Mechanics, and Quantum Gravity). Three main challenges are addressed: the dismissal of temporal asymmetries as non-fundamental phenomena only (e.g., thermodynamic or causal phenomena), the epistemic objection against GBT, and the apparent tension between GBT and relativistic physics. It is argued that the asymmetry between the open future and the fixed past must be grounded in the temporal structure of the world, and that this is neither precluded by our epistemic device, nor by the latest approaches to Quantum Gravity (​e.g., the Causal Set Theory). Aiming at reconciling time as we find it in ordinary experience and time as physics describes it, this ​innovative book ​will raise the interest of both academic researchers and ​graduate students working on the philosophy of time. More generally, it ​presents contents of interest for all metaphysicians and non-dogmatic philosophers of physics.This is an open access book.

What is time? And space? How are these two apparently opposed elements indissolubly linked? This book starts from man's intrinsic need to ask himself questions and elaborate answers, and tries to analyze, through a simple and intuitive physical-mathematical language, some aspects of Einstein's Special and General Relativity, accompanied by equally clear and immediately understandable images. An interesting discussion of simultaneity and causality is presented together with the relativistic accelerated version of the original twin paradox.

This book takes the reader from the preliminary ideas of the Special Theory of Relativity (STR) to the doorsteps of the General Theory of Relativity (GTR).The first part explains the main concepts in a layman's language, including STR, the Lorentz transformation, relativistic mechanics. Thereafter the concept of tensors is built up in detail, especially Maxwell's stress tensor with illustrative examples, culminating in the energy-momentum conservation in electromagnetic fields. Mathematical structure of Minkowski's space-time is constructed and explained graphically. The equation of motion is formulated and then illustrated by the example of relativistic rocket. The principle of covariance is explained with the covariant equations of classical electrodynamics. Finally, the book constructs the energy tensor which constitutes the source term in Einstein's field equation, which clears the passage to the GTR.In the book, the concepts of tensors are developed carefully and a large number of numerical examples taken from atomic and nuclear physics. The graphs of important equations are included. This is suitable for studies in classical electrodynamics, modern physics, and relativity.

The book presents seven fundamental concepts in spacetime physics mostly by following Hermann Minkowski's revolutionary ideas summarized in his 1908 lecture'Space and Time.'These concepts are: spacetime, inertial and accelerated motion in spacetime physics, the origin and nature of inertia in spacetime physics, relativistic mass, gravitation, gravitational waves, and black holes. They have been selected because they appear to be causing most misconceptions and confusion in spacetime physics.

The book presents seven fundamental concepts in spacetime physics mostly by following Hermann Minkowski's revolutionary ideas summarized in his 1908 lecture'Space and Time.'These concepts are: spacetime, inertial and accelerated motion in spacetime physics, the origin and nature of inertia in spacetime physics, relativistic mass, gravitation, gravitational waves, and black holes. They have been selected because they appear to be causing most misconceptions and confusion in spacetime physics. This second edition has been revised to include additional clarifications, more detailed elaboration of the arguments and also new material published in the interim.

In a universe filled by chaos and disorder, one physicist makes the radical argument that the growth of order drives the passage of time -- and shapes the destiny of the universe. Time is among the universe's greatest mysteries. Why, when most laws of physics allow for it to flow forward and backward, does it only go forward? Physicists have long appealed to the second law of thermodynamics, held to predict the increase of disorder in the universe, to explain this. In The Janus Point, physicist Julian Barbour argues that the second law has been misapplied and that the growth of order determines how we experience time. In his view, the big bang becomes the'Janus point,'a moment of minimal order from which time could flow, and order increase, in two directions. The Janus Point has remarkable implications: while most physicists predict that the universe will become mired in disorder, Barbour sees the possibility that order -- the stuff of life -- can grow without bound. A major new work of physics, The Janus Point will transform our understanding of the nature of existence.

Relativism can be found in all philosophical traditions and subfields of philosophy. It is also a central idea in the social sciences, the humanities, religion and politics. This is the first volume to map relativistic motifs in all areas of philosophy, synchronically and diachronically. It thereby provides essential intellectual tools for thinking about contemporary issues like cultural diversity, the plurality of the sciences, or the scope of moral values.The Routledge Handbook of Philosophy of Relativism is an outstanding major reference source on this fundamental topic. The 57 chapters by a team of international contributors are divided into nine parts: Relativism in non-Western philosophical traditions Relativism in Western philosophical traditions Relativism in ethics Relativism in political and legal philosophy Relativism in epistemology Relativism in metaphysics Relativism in philosophy of science Relativism in philosophy of language and mind Relativism in other areas of philosophy. Essential reading for students and researchers in all branches of philosophy, this handbook will also be of interest to those in related subjects such as politics, religion, sociology, cultural studies and literature.

This book shows how one can combine Yang-Mills gauge symmetry and effective Einstein-Grossmann metric tensors to tackle physical problems at microscopic, macroscopic and super-macroscopic length scales in inertial frames, including the late-time accelerated cosmic expansion due to baryon masses and charges. The combination of gauge symmetry and effective metric tensor provides a framework and leads to an alternative dynamics of cosmic expansion based on quantum Yang-Mills gravity at a super-macroscopic limit. Together with cosmological principle, one can investigate and derive expanding scale factors, the age of the universe, the cosmic redshift, and the Hubble recession velocity with an upper limit. All these discussions are based on inertial frames with operationally defined space and time coordinates.

'For those interested, the book is a good and well-written overview of the work of Wesson and his collaborators. For those with a general interest in extensions of standard physics, accessibility is strongly dependent on the reader’s technical background, though the good structure of the book and copious references (including many to work by more-mainstream physicists on related topics) make that possible for those willing to invest some time.'The Observatory MagazineThis book is a summing up of the prospects for unification between relativity and particle physics based on the extension of Einstein's theory of General Relativity to five dimensions. This subject was first established by Paul Wesson in his previous best-seller, Space-Time-Matter, and discussed from a different perspective in Five-Dimensional Physics, both published by World Scientific in 1999 and 2006 respectively. This third book brings the field up to date and details many new developments and connections to particle theory and wave mechanics in particular. It was in largely finished form at the time of Paul Wesson's untimely death in 2015, and has been completed and expanded by his former student and longtime collaborator, James Overduin.

This book, suitable for interested post-16 school pupils or undergraduates looking for a supplement to their course text, develops our modern view of space-time and its implications in the theories of gravity and cosmology. While aspects of this topic are inevitably abstract, the book seeks to ground thinking in observational and experimental evidence where possible. In addition, some of Einstein's philosophical thoughts are explored and contrasted with our modern views.Written in an accessible yet rigorous style, Jonathan Allday, a highly accomplished writer, brings his trademark clarity and engagement to these fascinating subjects, which underpin so much of modern physics.Features: Restricted use of advanced mathematics, making the book suitable for post-16 students and undergraduates Contains discussions of key modern developments in quantum gravity, and the latest developments in the field, including results from the Laser Interferometer Gravitational-Wave Observatory (LIGO) Accompanied by appendices on the CRC Press website featuring detailed mathematical arguments for key derivations

Einstein's energy-momentum relation is applicable to particles of all speeds, including the particle at rest and the massless particle moving with the speed of light. If one formula or formalism is applicable to all speeds, we say it is'Lorentz-covariant.'As for the internal space-time symmetries, there does not appear to be a clear way to approach this problem. For a particle at rest, there are three spin degrees of freedom. For a massless particle, there are helicity and gauge degrees of freedom. The aim of this book is to present one Lorentz-covariant picture of these two different space-time symmetries. Using the same mathematical tool, it is possible to give a Lorentz-covariant picture of Gell-Mann's quark model for the proton at rest and Feynman's parton model for the fast-moving proton. The mathematical formalism for these aspects of the Lorentz covariance is based on two-by-two matrices and harmonic oscillators which serve as two basic scientific languages for many different branches of physics. It is pointed out that the formalism presented in this book is applicable to various aspects of optical sciences of current interest.

INSTANT NEW YORK TIMES BESTSELLERAs you read these words, copies of you are being created. Sean Carroll, theoretical physicist and one of this world's most celebrated writers on science, rewrites the history of 20th century physics. Already hailed as a masterpiece, Something Deeply Hidden shows for the first time that facing up to the essential puzzle of quantum mechanics utterly transforms how we think about space and time. His reconciling of quantum mechanics with Einstein's theory of relativity changes, well, everything. Most physicists haven't even recognized the uncomfortable truth: physics has been in crisis since 1927. Quantum mechanics has always had obvious gaps—which have come to be simply ignored. Science popularizers keep telling us how weird it is, how impossible it is to understand. Academics discourage students from working on the'dead end'of quantum foundations. Putting his professional reputation on the line with this audacious yet entirely reasonable book, Carroll says that the crisis can now come to an end. We just have to accept that there is more than one of us in the universe. There are many, many Sean Carrolls. Many of every one of us. Copies of you are generated thousands of times per second. The Many Worlds Theory of quantum behavior says that every time there is a quantum event, a world splits off with everything in it the same, except in that other world the quantum event didn't happen. Step-by-step in Carroll's uniquely lucid way, he tackles the major objections to this otherworldly revelation until his case is inescapably established. Rarely does a book so fully reorganize how we think about our place in the universe. We are on the threshold of a new understanding—of where we are in the cosmos, and what we are made of.

This monograph describes some of the most interesting results obtained by the mathematicians and physicists collaborating in the CRC 647'Space – Time – Matter', in the years 2005 - 2016. The work presented concerns the mathematical and physical foundations of string and quantum field theory as well as cosmology. Important topics are the spaces and metrics modelling the geometry of matter, and the evolution of these geometries. The partial differential equations governing such structures and their singularities, special solutions and stability properties are discussed in detail. Contents Introduction Algebraic K-theory, assembly maps, controlled algebra, and trace methods Lorentzian manifolds with special holonomy – Constructions and global properties Contributions to the spectral geometry of locally homogeneous spaces On conformally covariant differential operators and spectral theory of the holographic Laplacian Moduli and deformations Vector bundles in algebraic geometry and mathematical physics Dyson–Schwinger equations: Fix-point equations for quantum fields Hidden structure in the form factors ofN = 4 SYM On regulating the AdS superstring Constraints on CFT observables from the bootstrap program Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities Yangian symmetry in maximally supersymmetric Yang-Mills theory Wave and Dirac equations on manifolds Geometric analysis on singular spaces Singularities and long-time behavior in nonlinear evolution equations and general relativity

A spectacular musical and scientific journey from the Bronx to the cosmic horizon that reveals the astonishing links between jazz, science, Einstein, and ColtraneMore than fifty years ago, John Coltrane drew the twelve musical notes in a circle and connected them by straight lines, forming a five-pointed star. Inspired by Einstein, Coltrane put physics and geometry at the core of his music.Physicist and jazz musician Stephon Alexander follows suit, using jazz to answer physics'most vexing questions about the past and future of the universe. Following the great minds that first drew the links between music and physics-a list including Pythagoras, Kepler, Newton, Einstein, and Rakim — The Jazz of Physics reveals that the ancient poetic idea of the'Music of the Spheres,'taken seriously, clarifies confounding issues in physics.The Jazz of Physics will fascinate and inspire anyone interested in the mysteries of our universe, music, and life itself.

En physique, le vocable «relativité» recouvre deux concepts très différents. Celui de relativité restreinte (qui a remplacé la relativité galiléenne) spécifie la structure cinématique de l'espace-temps. Cette structure, d'abord suggérée par l'étude de l'électromagnétisme...

Time and Age explores how time is defined by man. It follows the development of our means for measuring time from early methods using the flow of water or the steady burning of candles through to the atomic clock that records time with incredible precision.The classical idea of time as something that progresses at a uniform rate and as something that is the same to all observers was overturned by Einstein's Theory of Relativity. The conclusions coming from this theory are described, including the anti-intuitive twin paradox where one twin, returning from a journey to a distant star, is younger than his twin brother.Also covered is how age can be determined in a wide range of situations, such as how we work out the age of the Universe to how we calculate the age of artefacts that are just a few centuries old.

What is Time? Assuming no prior specialized knowledge by the reader, the book raises specific, hitherto overlooked questions about how time works, such as how and why anyone can be made to be, at the very same instant, simultaneous with events that are actually days apart. It examines abiding issues in the physics of time or at its periphery which still elude a full explanation ― such as delayed choice experiments, the brain's perception of time during saccadic masking, and more ― and suggests that these phenomena can only exist because they ultimately obey applicable mathematics, thereby agreeing with a modern view that the universe and everything within it, including the mind, are ultimately mathematical structures. It delves into how a number of conundrums, such as the weak Anthropic Principle, could be resolved, and how such resolutions could be tested experimentally. All its various threads converge towards a same new vision of the ultimate essence of time, seen as a side effect from a deeper reality.

“A very engaging read about how time travel has captured our imaginations... You will find a number of surprising discoveries awaiting you.” —Fred Alan Wolf, author of Taking the Quantum LeapThe idea of time travel has tantalized humans for millennia. We can send humans into space, but roaming through time has eluded us. Do the laws of physics demand that we stay forever trapped in the present?This Book Is From the Future will explore:Time travel theories and machines of the past, present, and futureTime and the multiverse: why wormholes, parallel universes, and extra dimensions might allow for time travelThe paranormal aspects of time: Might we already be “mentally” time traveling?Mysterious time shifts, slips, and warps that people are reporting all over the world. Are we experiencing coexisting timelines?Time travel conspiracy theories: Are we already walking among real time travelers? Has a real time machine already been created in a top-secret government facility?“From pop culture fantasies to wild conspiracy theories to the latest scientific thinking, This Book Is From the Future is a fascinating exploration of our collective obsession with time. Jones and Flaxman cover the subject from just about every angle, with a dash of humor and the serious scientific curiosity it deserves.” —Stephen Wagner, author of True Tales of the Ouija Board“A superb study of how past, present and future may be manipulated, controlled and even altered. Back to the Future and H. G. Wells's The Time Machine might not be mere fiction, after all!” —Nick Redfern, author of Final Events

The vacuum is not void; there is an infinite mystery in it. The matter in vacuum state is called the ether, which is like the unmatter or unparticles called by Prof. Smarandache. Its macroscopic effects, microscopic representation and macroscopic interaction are explained and researched. The absolute space-time theory is a most basic space-time theory, where the ether is a compressible superfluid, it is without a real particle if the distribution of ether is homogeneous because a mass center is the point of maximal value of the ether density. A change in the ether density causes a change in the actual space-time standard, and thus leads up to quantitative effects, which include the effects of relativity and quantum etc. The relativity is a theory of quantitative description, where the distribution of ether is always homogeneous and isotropic everywhere, which is just so-called Lorentz symmetry, and it is only a practicable mathematical model, it is not applicable to faster than light velocity. The gravitational field is a ether density wave-packet, whose interaction is not infinite. The macroscopic interaction of ether will surpass gravitational interaction and is about ten time of it, so that describing cosmos cannot use only the gravitational field equation. The methodology and related concepts proposed by Prof. Smarandache are applied, and Smarandache geometry models of relativity, macro-physics, interval field theory and infinite order and hierarchical cosmology are described in this book.

Chapter 1 - Time in Physics Chapter 2 - Spacetime Chapter 3 - Time Dilation Chapter 4 - Maxwell's Equations Chapter 5 - General Relativity

Welcome, intrepid temporal explorers, to the world's first and only field manual/survival guide to time travel!DON'T LEAVE THIS TIME PERIOD WITHOUT IT! Humans from H. G. Wells to Albert Einstein to Bill & Ted have been fascinated by time travel-some say drawn to it like moths to a flame. But in order to travel safely and effectively, newbie travelers need to know the dos and don'ts. Think of this handy little book as the only thing standing between you and an unimaginably horrible death-or being trapped forever in another time or alternate reality. You get: Essential time travel knowledge: Choosing the right time machine, from DeLoreans to hot tubs to phone booths-and beyond What to say-and what NOT to say-to your doppelganger Understanding black holes and Stephen Hawking's term'spaghettification'(no, it's not a method of food preperation; yes, it is a horrifically painful way to meet your end) The connection between Einstein's General Theory of Relativity, traversing wormholes and the 88 mph speed requirement The possible consequences of creating a time paradox-including, but not limited to, the implosion of the universe Survival tips for nearly any sticky time travel situation: How to befriend a dinosaur and subsequently fight other dinosaurs with that dinosaur Instructions to build your very own Rube Goldberg Time Machine Crusading-for fun and profit Tips on battling cowboys, pirates, ninjas, samurai, Nazis, Vikings, robots and space marines How to operate a microwave oven Enjoying the servitude of robots and tips for living underground when they inevitably rise up against us

This book deals with Concepts and Applications of Spacetime and Special Relativity.

Chapter 1 - Introduction to Spacetime Chapter 2 - Spacetime Symmetries and Causal Structure Chapter 3 - Minkowski Space Chapter 4 - General Relativity Chapter 5 - World Line and Closed Timelike Curve Chapter 6 - Causal Sets and Loop Quantum Gravity Chapter 7 - String Theory Chapter 8 - Wormhole

Philosophical foundations of the physics of space-timeThis concise book introduces nonphysicists to the core philosophical issues surrounding the nature and structure of space and time, and is also an ideal resource for physicists interested in the conceptual foundations of space-time theory. Tim Maudlin's broad historical overview examines Aristotelian and Newtonian accounts of space and time, and traces how Galileo's conceptions of relativity and space-time led to Einstein's special and general theories of relativity. Maudlin explains special relativity with enough detail to solve concrete physical problems while presenting general relativity in more qualitative terms. Additional topics include the Twins Paradox, the physical aspects of the Lorentz-FitzGerald contraction, the constancy of the speed of light, time travel, the direction of time, and more.Introduces nonphysicists to the philosophical foundations of space-time theoryProvides a broad historical overview, from Aristotle to EinsteinExplains special relativity geometrically, emphasizing the intrinsic structure of space-timeCovers the Twins Paradox, Galilean relativity, time travel, and moreRequires only basic algebra and no formal knowledge of physics

“[Manly] has succeeded in creating a succinct introduction to multiple universes within the historic context of theoretical physics.” —Foreword ReviewsThe idea of a multiple universe reality is no longer considered speculative or implausible by many physicists; rather, it is deemed inescapable. Distinct concepts of the multiverse spring from quantum mechanics, cosmology, string theory-based cosmology, and ideas about a mathematics-based reality that borders on the religious.In this accessible and entertaining book, Dr. Manly guides you on a tour of the many multiverse concepts and provides the non-technical background to understand them.Visions of the Multiverse explores questions such as:Just what is a multiverse?What are the different concepts of the multiverse and how are they related?Is it possible to determine if we live in a multiverse... or even in multiple types of multiverses?How do religious concepts of the afterlife and popular ideas based on the Law of Attraction relate to the scientific visions of the multiverse?Dr. Manly discusses a wide variety of fascinating concepts from relativity and the fundamental particles and forces of nature to dark matter, dark energy, and quantum mechanics in an unintimidating and conversational tone.Is humanity in the midst of a new Copernican revolution? You decide.

From two of the world's great physicists—Stephen Hawking and Nobel laureate Roger Penrose—a lively debate about the nature of space and timeEinstein said that the most incomprehensible thing about the universe is that it is comprehensible. But was he right? Can the quantum theory of fields and Einstein's general theory of relativity, the two most accurate and successful theories in all of physics, be united into a single quantum theory of gravity? Can quantum and cosmos ever be combined? In The Nature of Space and Time, two of the world's most famous physicists—Stephen Hawking (A Brief History of Time) and Roger Penrose (The Road to Reality)—debate these questions.The authors outline how their positions have further diverged on a number of key issues, including the spatial geometry of the universe, inflationary versus cyclic theories of the cosmos, and the black-hole information-loss paradox. Though much progress has been made, Hawking and Penrose stress that physicists still have further to go in their quest for a quantum theory of gravity.

In 2000, Martin Bojowald, then a twenty-seven-year-old post-doc at Pennsylvania State University, used a relatively new theory called loop quantum gravity—a cunning combination of Einstein's theory of gravity with quantum mechanics—to create a simple model of the universe. Loop quantum cosmology was born, and with it, a theory that managed to do something even Einstein's general theory of relativity had failed to do—illuminate the very birth of the universe.Ever since, loop quantum cosmology, or LQC, has been tantalizing physicists with the idea that our universe could conceivably have emerged from the collapse of a previous one. Now the theory is poised to formulate hypotheses we can actually test. If they are verified, the big bang will give way to the big bounce. Instead of a universe that emerged from a point of infinite density, we will have one that recycles, possibly through an eternal series of expansions and contractions, with no beginning and no end.Bojowald's major realization was that unlike general relativity, the physics of LQC do not break down at the big bang. The greatest mystery surrounding the origin of the universe is what cosmologists call the big bang “singularity”—the point at the beginning of the universe, prior to the existence of space and time, when gravity, along with the temperature and density of the universe, becomes infinite. The equations of general relativity can't cope with such infinities, and as a result big bang theory has never been able to give any explanation for the initial condition of our universe, succeeding only in describing and explaining the evolution of the universe from that instant onward. Bojowald's theory takes us right up to the first moment of the universe—and then back, even before the big bang itself.

Einstein's general theory of relativity is introduced in this advanced undergraduate and beginning graduate level textbook. Topics include special relativity, in the formalism of Minkowski's four-dimensional space-time, the principle of equivalence, Riemannian geometry and tensor analysis, Einstein field equation, as well as many modern cosmological subjects, from primordial inflation and cosmic microwave anisotropy to the dark energy that propels an accelerating universe. The author presents the subject with an emphasis on physical examples and simple applications without the full tensor apparatus. The reader first learns how to describe curved spacetime. At this mathematically more accessible level, the reader can already study the many interesting phenomena such as gravitational lensing, precession of Mercury's perihelion, black holes, and cosmology. The full tensor formulation is presented later, when the Einstein equation is solved for a few symmetric cases. Many modern topics in cosmology are discussed in this book: from inflation, cosmic microwave anisotropy to the'dark energy'that propels an accelerating universe. Mathematical accessibility, together with the various pedagogical devices (e.g., worked-out solutions of chapter-end problems), make it practical for interested readers to use the book to study general relativity and cosmology on their own.

The'Ether space-time & cosmology'program comprises several volumes designed to inform the physics community about the resurgence of ether in modern science. Research in the past 20 years has confirmed the existence of physical properties in space, even where it is devoid of ordinary matter. In addition to the well-known properties of permittivity, permeability and ability to transmit electromagnetic waves, other features have been discovered more recently. These include the Casimir Effect and a significant amount of energy. The necessity of ether is not questioned today even by those who pretend to do so but do not hesitate to attribute qualities to the vacuum. Ether theory plays a creative role, even if given different names: vacuum, fundamental plenum or cosmic substratum. Ether space-time & cosmology is a development of the Physical Interpretations of Relativity Theory conferences, which began in 1988 in London and are now held in London, Moscow, Calcutta and Budapest.

This is the dramatic and inspirational first-person story of theoretical physicist, Dr. Ronald Mallett, who recently discovered the basic equations for a working time machine that he believes can be used as a transport vehicle to the past. Combining elements of Rocket Boys and Elegant Universe, Time Traveler follows Mallett's discovery of Einstein's work on space-time, his study of Godel's work on a solution of Einstein's equation that might allow for time travel, and his own research in theoretical physics spanning thirty years that culminated in his recent discovery of the effects of circulating laser light and its application to time travel. The foundation for Mallett's historic time-travel work is Einstein's theory of general relativity, a sound platform for any physicist. Through his years of reading and studying Einstein, Mallett became a buff well before he had any notion of the importance of the grand old relativist's theories to his own career. One interesting subtext to the story is Mallett's identification with, and keen interest in, Einstein. Mallett provides easy-to-understand explanations of the famous physicist's seminal work.

The introduction of the ether as a key actor in physical processes, will resolve a number of paradoxes in 20th century physics, which arose because it has been dismissed. This third volume, like the previous ones, presents articles, written by experienced physicists, dealing with different aspects of the ether concept. Topics relating to quantum theory, dark energy and dark matter and a review of the basic assumptions of relativity are addressed, among others.

Einstein's theory of general relativity is a theory of gravity and, as in the earlier Newtonian theory, much can be learnt about the character of gravitation and its effects by investigating particular idealised examples. This book describes the basic solutions of Einstein's equations with a particular emphasis on what they mean, both geometrically and physically. Concepts such as big bang and big crunch-types of singularities, different kinds of horizons and gravitational waves, are described in the context of the particular space-times in which they naturally arise. These notions are initially introduced using the most simple and symmetric cases. Various important coordinate forms of each solution are presented, thus enabling the global structure of the corresponding space-time and its other properties to be analysed. The book is an invaluable resource both for graduate students and academic researchers working in gravitational physics.

In this book Rickles considers several interpretative difficulties raised by gauge-type symmetries (those that correspond to no change in physical state). The ubiquity of such symmetries in modern physics renders them an urgent topic in philosophy of physics. Rickles focuses on spacetime physics, and in particular classical and quantum general relativity. Here the problems posed are at their most pathological, involving the apparent disappearance of spacetime! Rickles argues that both traditional ontological positions should be replaced by a structuralist account according to which relational structure is what the physics is about.· Unified treatment of gauge symmetries and their relationship to ontology in physics· Brings philosophy of space and time into step with developments in modern physics· Argues against the received view on the implications of symmetries in physics· Provides elementary treatments of technical issues· Illustrates a novel defense of structuralism

Black holes may obliterate most things that come near them, but they saved the theory of general relativity. Einstein's theory was quickly accepted as the true theory of gravity after its publication in 1915, but soon took a back seat in physics to quantum mechanics and languished for decades on the blackboards of mathematicians. Not until the existence of black holes by Stephen Hawking and Roger Penrose in the 1960s, after Einstein's death, was the theory revived. Almost one hundred years after general relativity replaced Newton's theory of gravitation, The Curious History of Relativity tells the story of both events surrounding general relativity and the techniques employed by Einstein and the relativists to construct, develop, and understand his almost impenetrable theory. Jean Eisenstaedt, one of the world's leading experts on the subject, also discusses the theory's place in the evolution of twentieth-century physics. He describes the main stages in the development of general relativity: its beginnings, its strange crossing of the desert during Einstein's lifetime while under heated criticism, and its new life from the 1960s on, when it became vital to the understanding of black holes and the observation of exotic objects, and, eventually, to the discovery of the accelerating universe. We witness Einstein's construction of his theory, as well as the work of his fascinated, discouraged, and enthusiastic colleagues--physicists, mathematicians, and astronomers. Written with flair, The Curious History of Relativity poses--and answers--the difficult questions raised by Einstein's magnificent intellectual feat.

Relativity theory has enabled physics to take a great step forward. Nevertheless, unlike many of his followers, Einstein was not satisfied with his theory. In fact, in a 1947 letter to his friend Maurice Solovine he stated:'You imagine that deep down inside I regard the work of my life with calm satisfaction, the things are really different. There is not a single concept of which I am convinced that it will stand firm.'Einstein's concerns are analysed in the book From Galileo to Lorentz... and beyond. As demonstrated in the book, conventional relativity fails to answer several fundamental questions. A new set of space-time transformations is derived that cover a wider range of facts than the Lorentz transformations, and allow us to answer questions that are unresolved by conventional relativity. The implications for fundamental physics are far reaching.

Title from e-book title screen (viewed on Sept. 28, 2005).

A paperback edition of a classic text, this book gives a unique survey of the known solutions of Einstein's field equations for vacuum, Einstein-Maxwell, pure radiation and perfect fluid sources. It introduces the foundations of differential geometry and Riemannian geometry and the methods used to characterize, find or construct solutions. The solutions are then considered, ordered by their symmetry group, their algebraic structure (Petrov type) or other invariant properties such as special subspaces or tensor fields and embedding properties. Includes all the developments in the field since the first edition and contains six completely new chapters, covering topics including generation methods and their application, colliding waves, classification of metrics by invariants and treatments of homothetic motions. This book is an important resource for graduates and researchers in relativity, theoretical physics, astrophysics and mathematics. It can also be used as an introductory text on some mathematical aspects of general relativity.

'It would be hard to imagine a better guide to this difficult subject.'-- Scientific American In Three Roads to Quantum Gravity, Lee Smolin provides an accessible overview of the attempts to build a final'theory of everything.'He explains in simple terms what scientists are talking about when they say the world is made from exotic entities such as loops, strings, and black holes and tells the fascinating stories behind these discoveries: the rivalries, epiphanies, and intrigues he witnessed firsthand.'Provocative, original, and unsettling.'-- The New York Review of Books'An excellent writer, a creative thinker.'-- Nature

The purposes of this book are (1) to explore and expound relativity physics and four-dimensional symmetry from the logically simplest viewpoint by making one single postulate instead of two; and (2) to indicate the simplest generalization of the Lorentz transformation in order to cope with frames with constant linear accelerations. The fundamentally new ideas of the first purpose are developed on the basis of the term paper of a Harvard physics undergraduate. They lead to an unexpected affirmative answer to the long-standing question of whether it is possible to construct a relativity theory without postulating the constancy of the speed of light and retaining only the first postulate of special relativity. This question was discussed in the early years following the discovery of special relativity by many physicists, including Ritz, Tolman, Kunz, Comstock and Pauli, all of whom obtained negative answers. Furthermore, the new theory of relativity indicates the truly universal and fundamental constants in physics, and provides a broad view of relativistic physics beyond special relativity. It substantiates the view and sheds light on the understanding that the four-dimensional symmetry framework can accommodate many different concepts of physical time, including common time and Reichenbach's general concept of time. This logically simplest viewpoint of relativity allows a natural extension of the physics of particles and fields from inertial frames to noninertial frames in which the speed of light is not constant. New predictions in physics resulting from this new viewpoint are discussed. The book is based on papers by the author and his collaborators in Physics Letters A, Nuovo Cimento B, and Physical Review A and D.

Starting with the idea of an event and finishing with a description of the standard big-bang model of the Universe, this textbook provides a clear and concise introduction to the theory of general relativity, suitable for final-year undergraduate mathematics or physics students. Throughout, the emphasis is on the geometric structure of spacetime, rather than the traditional coordinate-dependent approach. Topics covered include flat spacetime (special relativity), Maxwell fields, the energy-momentum tensor, spacetime curvature and gravity, Schwarzschild and Kerr spacetimes, black holes and singularities, and cosmology. All physical assumptions are clearly spelled out and the necessary mathematics is developed along with the physics. Exercises are provided at the end of each chapter and key ideas are illustrated with worked examples. Solutions and hints to selected problems are provided at the end of the book. This textbook will enable the student to develop a sound understanding of the theory of general relativity.

Einstein's General Theory of Relativity leads to two remarkable predictions: first, that the ultimate destiny of many massive stars is to undergo gravitational collapse and to disappear from view, leaving behind a'black hole'in space; and secondly, that there will exist singularities in space-time itself. These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.

Includes index.

Almost from its inception, Einstein's general theory of relativity was known to sanction spacetime models harboring singularities. Until the 1960s, however, spacetime singularities were thought to be artifacts of the idealizations of the models. This attitude evaporated in the face of a series of theorems, due largely to Stephen Hawking and Roger Penrose, which showed that Einstein's general theory implies that singularities can be expected to occur in a wide variety of conditions in both gravitational collapse and in cosmology. In the light of these results some physicists adopted the attitude that, since spacetime singularities are intolerable, general relativity contains within itself the seeds of its own destruction. Others hoped that peaceful coexistence with singularities could be achieved by proving a form of Roger Penrose's cosmic censorship hypothesis, which would place singularities safely inside black holes. Whatever the attitude one adopts toward spacetime singularities, it is evident that they raise a number of foundational problems for physics and have profound implications for the philosophy of space and time. However, philosophers of science have been slow to awaken to the significance of these developments. Indeed, this is the first serious book-length study of the subject by a philosopher of science. It features an overview of the literature on singularities, as well as an analytic commentary on their significance to a number of scientific and philosophical issues.