The Singularities

The Singularities
Author: John Banville
Publisher: Swift Press
Total Pages: 331
Release: 2023-07-21
Genre: Fiction
ISBN: 1800753373

'This novel is essence of Banville ... a career summation' Daily Telegraph Felix Mordaunt, recently released from prison, steps from a flashy red sports car onto the estate of his youth. But there is a new family living in the drafty old house: descendants of the late, world-famous scientist Adam Godley. Felix 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...

The singularities as ontological limits of the general relativity

The singularities as ontological limits of the general relativity
Author: Nicolae Sfetcu
Publisher: Nicolae Sfetcu
Total Pages: 33
Release: 2019-01-31
Genre: Science
ISBN:

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 Singularity Is Near

The Singularity Is Near
Author: Ray Kurzweil
Publisher: Penguin
Total Pages: 992
Release: 2005-09-22
Genre: Social Science
ISBN: 1101218886

NEW YORK TIMES BESTSELLER • Celebrated futurist Ray Kurzweil, hailed by Bill Gates as “the best person I know at predicting the future of artificial intelligence,” presents an “elaborate, smart, and persuasive” (The Boston Globe) view of the future course of human development. “Artfully envisions a breathtakingly better world.”—Los Angeles Times “Startling in scope and bravado.”—Janet Maslin, The New York Times “An important book.”—The Philadelphia Inquirer At the onset of the twenty-first century, humanity stands on the verge of the most transforming and thrilling period in its history. It will be an era in which the very nature of what it means to be human will be both enriched and challenged as our species breaks the shackles of its genetic legacy and achieves inconceivable heights of intelligence, material progress, and longevity. While the social and philosophical ramifications of these changes will be profound, and the threats they pose considerable, The Singularity Is Near presents a radical and optimistic view of the coming age that is both a dramatic culmination of centuries of technological ingenuity and a genuinely inspiring vision of our ultimate destiny.

Singularities

Singularities
Author: Christian de Duve
Publisher: Cambridge University Press
Total Pages: 288
Release: 2005-10-24
Genre: Mathematics
ISBN: 9780521841955

Publisher Description

Resolution of Singularities

Resolution of Singularities
Author: Steven Dale Cutkosky
Publisher: American Mathematical Soc.
Total Pages: 198
Release: 2004
Genre: Mathematics
ISBN: 0821835556

The notion of singularity is basic to mathematics. In algebraic geometry, the resolution of singularities by simple algebraic mappings is truly a fundamental problem. It has a complete solution in characteristic zero and partial solutions in arbitrary characteristic. The resolution of singularities in characteristic zero is a key result used in many subjects besides algebraic geometry, such as differential equations, dynamical systems, number theory, the theory of $\mathcal{D}$-modules, topology, and mathematical physics. This book is a rigorous, but instructional, look at resolutions. A simplified proof, based on canonical resolutions, is given for characteristic zero. There are several proofs given for resolution of curves and surfaces in characteristic zero and arbitrary characteristic. Besides explaining the tools needed for understanding resolutions, Cutkosky explains the history and ideas, providing valuable insight and intuition for the novice (or expert). There are many examples and exercises throughout the text. The book is suitable for a second course on an exciting topic in algebraic geometry. A core course on resolutions is contained in Chapters 2 through 6. Additional topics are covered in the final chapters. The prerequisite is a course covering the basic notions of schemes and sheaves.

Introduction to Singularities

Introduction to Singularities
Author: Shihoko Ishii
Publisher: Springer
Total Pages: 242
Release: 2018-09-21
Genre: Mathematics
ISBN: 4431568379

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.

Introduction to Singularities and Deformations

Introduction to Singularities and Deformations
Author: Gert-Martin Greuel
Publisher: Springer Science & Business Media
Total Pages: 482
Release: 2007-02-23
Genre: Mathematics
ISBN: 3540284192

Singularity theory is a young, rapidly-growing topic with connections to algebraic geometry, complex analysis, commutative algebra, representations theory, Lie groups theory and topology, and many applications in the natural and technical sciences. This book presents the basic singularity theory of analytic spaces, including local deformation theory and the theory of plane curve singularities. It includes complete proofs.

A Naked Singularity

A Naked Singularity
Author: Sergio de la Pava
Publisher: University of Chicago Press
Total Pages: 690
Release: 2012-04-09
Genre: Fiction
ISBN: 0226141802

“Propulsive . . . The novel’s chaotic sprawl, black humor and madcap digressions make it a thrilling rejoinder to the tidy story arcs [of] most crime fiction.” —The Wall Street Journal Winner of the PEN/Robert W. Bingham Prize for Best Debut Novel Named a Best Book of the Year in the Wall Street Journal, Houston Chronicle, and Philadelphia City Paper A Naked Singularity tells the story of Casi, born to Colombian immigrants, who lives in Brooklyn and works in Manhattan as a public defender—one who, tellingly, has never lost a trial. Never. In the book, we watch what happens when his sense of justice and even his sense of self begin to crack—and how his world then slowly devolves. A huge, ambitious novel in the vein of DeLillo, Foster Wallace, Pynchon, and even Melville, it’s told in a distinct, frequently hilarious voice, with a striking human empathy at its center. Its panoramic reach takes readers through crime and courts, immigrant families and urban blight, media savagery and media satire, scatology and boxing, and even a breathless heist worthy of any crime novel. If Infinite Jest stuck a pin in the map of mid-90s culture and drew our trajectory from there, A Naked Singularity does the same for the feeling of surfeit, brokenness, and exhaustion that permeates our civic and cultural life today. In the opening sentence of William Gaddis’s A Frolic of His Own, a character sneers, “Justice? You get justice in the next world. In this world, you get the law.” A Naked Singularity reveals the extent of that gap, and lands firmly on the side of those who are forever getting the law. “A great American novel.” —Toronto Star