**The Singularities**

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### The singularities as ontological limits of the general relativity

**Author :**Nicolae Sfetcu**Publisher :**Nicolae Sfetcu**File Size :**37,7 Mb**Release Date :**2019-01-31**Total pages :**33**ISBN :**1230987654XX- Get Book

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ESSAYS Collection The singularities from the general relativity resulting by solving Einstein's equations were and still are the subject of many scientific debates: Are there singularities in spacetime, or not? Big Bang was an initial singularity? If singularities exist, what is their ontology? Is the general theory of relativity a theory that has shown its limits in this case? In this essay I argue that there are singularities, and the general theory of relativity, as any other scientific theory at present, is not valid for singularities. But that does not mean, as some scientists think, that it must be regarded as being obsolete. After a brief presentation of the specific aspects of Newtonian classical theory and the special theory of relativity, and a brief presentation of the general theory of relativity, the chapter Ontology of General Relativity presents the ontological aspects of general relativity. The next chapter, Singularities, is dedicated to the presentation of the singularities resulting in general relativity, the specific aspects of the black holes and the event horizon, including the Big Bang debate as original singularity, and arguments for the existence of the singularities. In Singularity Ontology, I am talking about the possibilities of ontological framing of singularities in general and black holes in particular, about the hole argument highlighted by Einstein, and the arguments presented by scientists that there are no singularities and therefore that the general theory of relativity is in deadlock. In Conclusions I outline and summarize briefly the arguments that support my above views. CONTENTS Abstract Introduction Classical Theory and Special Relativity General Relativity (GR) 1 Ontology of General Relativity 2 Singularities Black Holes Event Horizon Big Bang Are there Singularities? 3 Ontology of Singularities Ontology of black holes The hole argument There are no singularities Conclusions Notes Bibliography

### The Singularities

**Author :**John Banville**Publisher :**Knopf**File Size :**29,7 Mb**Release Date :**2022-10-25**Total pages :**321**ISBN :**9780525655183- Get Book

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From the revered Booker Prize-winning author comes a playful, multilayered novel of nostalgia, life and death, and quantum theory, which opens with the return of one of his most celebrated characters as he is released from prison. “A triumphant piece of writing…Prose of such luscious elegance…Exhilarating.” —The New York Times Book Review A man with a borrowed name steps from a flashy red sports car—also borrowed—onto the estate of his youth. But all is not as it seems. There is a new family living in the drafty old house: the Godleys, descendants of the late, world-famous scientist Adam Godley, whose theory of existence threw the universe into chaos. And this mystery man, who has just completed a prison sentence, feels as if time has stopped, or was torn, or was opened in new and strange ways. He must now vie with the idiosyncratic Godley family, with their harried housekeeper who becomes his landlady, with the recently commissioned biographer of Godley Sr., and with a wealthy and beautiful woman from his past who comes bearing an unusual request. With sparkling intelligence and rapier wit, John Banville revisits some of his career’s most memorable figures, in a novel as mischievous as it is brilliantly conceived. The Singularities occupies a singular space and will surely be one of his most admired works.

### Lectures on the Singularities of the Three-body Problem

**Author :**Carl Ludwig Siegel,K. Balagangadharah,M. K. Venkatesha Murthy**Publisher :**Unknown**File Size :**11,6 Mb**Release Date :**1967**Total pages :**558**ISBN :**UOM:39015078600023- Get Book

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PDF book entitled Lectures on the Singularities of the Three-body Problem written by Carl Ludwig Siegel,K. Balagangadharah,M. K. Venkatesha Murthy and published by Unknown which was released on 1967 with total hardcover pages 558, the book become popular and critical acclaim.

### Singularities in Geometry and Topology

**Author :**Anonim**Publisher :**Unknown**File Size :**54,6 Mb**Release Date :**2023**Total pages :**229**ISBN :**9789814477048- Get Book

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PDF book entitled Singularities in Geometry and Topology written by Anonim and published by Unknown which was released on 2023 with total hardcover pages 229, the book become popular and critical acclaim.

### Introduction to Singularities

**Author :**Shihoko Ishii**Publisher :**Springer**File Size :**51,8 Mb**Release Date :**2018-09-21**Total pages :**236**ISBN :**9784431568377- Get Book

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This book is an introduction to singularities for graduate students and researchers. Algebraic geometry is said to have originated in the seventeenth century with the famous work Discours de la méthode pour bien conduire sa raison, et chercher la vérité dans les sciences by Descartes. In that book he introduced coordinates to the study of geometry. After its publication, research on algebraic varieties developed steadily. Many beautiful results emerged in mathematicians’ works. First, mostly non-singular varieties were studied. In the past three decades, however, it has become clear that singularities are necessary for us to have a good description of the framework of varieties. For example, it is impossible to formulate minimal model theory for higher-dimensional cases without singularities. A remarkable fact is that the study of singularities is developing and people are beginning to see that singularities are interesting and can be handled by human beings. This book is a handy introduction to singularities for anyone interested in singularities. The focus is on an isolated singularity in an algebraic variety. After preparation of varieties, sheaves, and homological algebra, some known results about 2-dimensional isolated singularities are introduced. Then a classification of higher-dimensional isolated singularities is shown according to plurigenera and the behavior of singularities under a deformation is studied. In the second edition, brief descriptions about recent remarkable developments of the researches are added as the last chapter.

### Singularities

**Author :**Vladimir I. Arnold,Gert-Martin Greuel,Joseph H.M. Steenbrink**Publisher :**Birkhäuser**File Size :**31,8 Mb**Release Date :**2012-12-06**Total pages :**488**ISBN :**9783034887700- Get Book

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In July 1996, a conference was organized by the editors of this volume at the Mathematische Forschungsinstitut Oberwolfach to honour Egbert Brieskorn on the occasion of his 60th birthday. Most of the mathematicians invited to the conference have been influenced in one way or another by Brieskorn's work in singularity theory. It was the first time that so many people from the Russian school could be present at a conference in singularity theory outside Russia. This volume contains papers on singularity theory and its applications, written by participants of the conference. In many cases, they are extended versions of the talks presented there. The diversity of subjects of the contributions reflects singularity theory's relevance to topology, analysis and geometry, combining ideas and techniques from all of these fields, as well as demonstrating the breadth of Brieskorn's own interests. This volume contains papers on singularity theory and its applications, written by participants of the conference. In many cases, they are extended versions of the talks presented there. The diversity of subjects of the contributions reflects singularity theory's relevance to topology, analysis and geometry, combining ideas and techniques from all of these fields, as well as demonstrates the breadth of Brieskorn's own interests.

### Real And Complex Singularities

**Author :**David Mond,Marcelo Saia**Publisher :**CRC Press**File Size :**36,7 Mb**Release Date :**2019-07-17**Total pages :**348**ISBN :**020391208X- Get Book

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This text offers a selection of papers on singularity theory presented at the Sixth Workshop on Real and Complex Singularities held at ICMC-USP, Brazil. It should help students and specialists to understand results that illustrate the connections between singularity theory and related fields. The authors discuss irreducible plane curve singularities, openness and multitransversality, the distribution Afs and the real asymptotic spectrum, deformations of boundary singularities and non-crystallographic coxeter groups, transversal Whitney topology and singularities of Haefliger foliations, the topology of hypersurface singularities, polar multiplicities and equisingularity of map germs from C3 to C4, and topological invariants of stable maps from a surface to the plane from a global viewpoint.

### Singularities

**Author :**Peter Orlik,American Mathematical Society**Publisher :**American Mathematical Soc.**File Size :**18,5 Mb**Release Date :**1983**Total pages :**680**ISBN :**9780821814666- Get Book

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On April 7-10, 1980, the American Mathematical Society sponsored a Symposium on the Mathematical Heritage of Henri Poincari, held at Indiana University, Bloomington, Indiana. This work presents the written versions of all but three of the invited talks presented at this Symposium. It contains 2 papers by invited speakers who aren't able to attend.

### Modern Researches on the Singularities of Functions Defined by Taylor's Series

**Author :**Szolem Mandelbrojt**Publisher :**Unknown**File Size :**35,8 Mb**Release Date :**1927**Total pages :**144**ISBN :**UOM:39015017298566- Get Book

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PDF book entitled Modern Researches on the Singularities of Functions Defined by Taylor's Series written by Szolem Mandelbrojt and published by Unknown which was released on 1927 with total hardcover pages 144, the book become popular and critical acclaim.

### Singularities in Fluids, Plasmas and Optics

**Author :**Russel Caflisch,George C. Papanicolaou**Publisher :**Springer Science & Business Media**File Size :**52,5 Mb**Release Date :**2012-12-06**Total pages :**348**ISBN :**9789401120227- Get Book

## Download Singularities in Fluids, Plasmas and Optics in PDF, Epub, and Kindle

Singularities in Fluids, Plasmas and Optics, which contains the proceedings of a NATO Workshop held in Heraklion, Greece, in July 1992, provides a survey of the state of the art in the analysis and computation of singularities in physical problems drawn from fluid mechanics, plasma physics and nonlinear optics. The singularities include curvature singularities on fluid interfaces, the onset of turbulence in 3-D inviscid flows, focusing singularities for laser beams, and magnetic reconnection. The highlights of the book include the nonlinear Schrödinger equation for describing laser beam focusing, the method of complex variables for the analysis and computation of singularities on fluid interfaces, and studies of singularities for the 3-D Euler equations. The book is suitable for graduate students and researchers in these areas.

### Ramified Integrals, Singularities and Lacunas

**Author :**V.A. Vassiliev**Publisher :**Springer Science & Business Media**File Size :**18,9 Mb**Release Date :**2012-12-06**Total pages :**306**ISBN :**9789401102131- Get Book

## Download Ramified Integrals, Singularities and Lacunas in PDF, Epub, and Kindle

Solutions to many problems of these theories are treated. Subjects include the proof of multidimensional analogues of Newton's theorem on the nonintegrability of ovals; extension of the proofs for the theorems of Newton, Ivory, Arnold and Givental on potentials of algebraic surfaces. Also, it is discovered for which d and n the potentials of degree d hyperbolic surfaces in [actual symbol not reproducible] are algebraic outside the surfaces; the equivalence of local regularity (the so-called sharpness), of fundamental solutions of hyperbolic PDEs and the topological Petrovskii-Atiyah-Bott-Garding condition is proved, and the geometrical characterization of domains of sharpness close to simple singularities of wave fronts is considered; a 'stratified' version of the Picard-Lefschetz formula is proved, and an algorithm enumerating topologically distinct Morsifications of real function singularities is given.

### The Structure of Orbit Spaces and the Singularities of Equivariant Mappings

**Author :**Edward Bierstone**Publisher :**Unknown**File Size :**37,6 Mb**Release Date :**1980**Total pages :**172**ISBN :**UCAL:$B142744- Get Book

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PDF book entitled The Structure of Orbit Spaces and the Singularities of Equivariant Mappings written by Edward Bierstone and published by Unknown which was released on 1980 with total hardcover pages 172, the book become popular and critical acclaim.

### Analysis of Singularities for Partial Differential Equations

**Author :**Anonim**Publisher :**Unknown**File Size :**45,5 Mb**Release Date :**2023**Total pages :**229**ISBN :**9789814464994- Get Book

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PDF book entitled Analysis of Singularities for Partial Differential Equations written by Anonim and published by Unknown which was released on 2023 with total hardcover pages 229, the book become popular and critical acclaim.

### The Singularity Is Near

**Author :**Ray Kurzweil**Publisher :**Penguin**File Size :**26,9 Mb**Release Date :**2005-09-22**Total pages :**672**ISBN :**9781101218884- Get Book

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“Startling in scope and bravado.” —Janet Maslin, The New York Times “Artfully envisions a breathtakingly better world.” —Los Angeles Times “Elaborate, smart and persuasive.” —The Boston Globe “A pleasure to read.” —The Wall Street Journal One of CBS News’s Best Fall Books of 2005 • Among St Louis Post-Dispatch’s Best Nonfiction Books of 2005 • One of Amazon.com’s Best Science Books of 2005 A radical and optimistic view of the future course of human development from the bestselling author of How to Create a Mind and The Singularity is Nearer who Bill Gates calls “the best person I know at predicting the future of artificial intelligence” For over three decades, Ray Kurzweil has been one of the most respected and provocative advocates of the role of technology in our future. In his classic The Age of Spiritual Machines, he argued that computers would soon rival the full range of human intelligence at its best. Now he examines the next step in this inexorable evolutionary process: the union of human and machine, in which the knowledge and skills embedded in our brains will be combined with the vastly greater capacity, speed, and knowledge-sharing ability of our creations.

### Trends in Singularities

**Author :**Anatoly Libgober,Mihai Tibar**Publisher :**Birkhäuser**File Size :**53,8 Mb**Release Date :**2012-12-06**Total pages :**246**ISBN :**9783034881616- Get Book

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The collection of papers in this volume represents recent advances in the under standing of the geometry and topology of singularities. The book covers a broad range of topics which are in the focus of contemporary singularity theory. Its idea emerged during two Singularities workshops held at the University of Lille (USTL) in 1999 and 2000. Due to the breadth of singularity theory, a single volume can hardly give the complete picture of today's progress. Nevertheless, this collection of papers provides a good snapshot of what is the state of affairs in the field, at the turn of the century. Several papers deal with global aspects of singularity theory. Classification of fam ilies of plane curves with prescribed singularities were among the first problems in algebraic geometry. Classification of plane cubics was known to Newton and classification of quartics was achieved by Klein at the end of the 19th century. The problem of classification of curves of higher degrees was addressed in numerous works after that. In the paper by Artal, Carmona and Cogolludo, the authors de scribe irreducible sextic curves having a singular point of type An (n > 15) and a large (Le. , :::: 18) sum of Milnor numbers of other singularities. They have discov ered many interesting properties of these families. In particular they have found new examples of so-called Zariski pairs, i. e.