Topology is the mathematical study of the most basic geometrical structure of a space. Mathematical physics uses topological spaces as the formal means for describing physical space and time. This book proposes a completely new mathematical structure for describing geometrical notions such as continuity, connectedness, boundaries of sets, and so on, in order to provide a better mathematical tool for understanding space-time. This is the initial volume in a two-volume set, the first of whic...

A sophisticated and original introduction to the philosophy of quantum mechanics from one of the world’s leading philosophers of physicsIn this book, Tim Maudlin, one of the world’s leading philosophers of physics, offers a sophisticated, original introduction to the philosophy of quantum mechanics. The briefest, clearest, and most refined account of his influential approach to the subject, the book will be invaluable to all students of philosophy and physics....

This 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 explain...

The third edition of Quantum Non-Locality and Relativity has been carefully updated to reflect significant developments, including a new chapter covering important recent work in the foundations of physics.A new edition of the premier philosophical study of Bell’s Theorem and its implication for the relativistic account of space and timeDiscusses Roderich Tumiulka’s explicit, relativistic theory that can reproduce the quantum mechanical violation of Bell’s ...

What fundamental account of the world is implicit in physical theory? Physics straightforwardly postulates quarks and electrons, but what of the more intangible elements, such as laws of nature, universals, causation and the direction of time? Do they have a place in the physical structure of the world? Tim Maudlin argues that the ontology derived from physics takes a form quite different from those most commonly defended by philosophers. Physics postulates irreducible fundamental laws, es...

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...

From Schrodinger's cat to Heisenberg's uncertainty principle, this book untangles the weirdness of the quantum world.'A master of making the complex simple' Independent'Al-Khalili is the ideal guide through [the] mysteries of modern science' New Scientist'Superb' GuardianQuantum mechanics underpins modern science and provide us with a blueprint for reality itself. ...

"A marvelously clear and engaging account of . . . the deepest mysteries of the quantum world and [converting] them into a useful technology." —Gregory Chaitin, author of Meta Math! The Quest for OmegaWhat is entanglement? It's a connection between quantum particles, the building blocks of the universe. Once two particles are entangled, a change to one of them is reflected—instantly—in the other, be they in the same lab or light-years apart. So counterintui...

In The Accidental Universe, physicist and novelist Alan Lightman explores the emotional and philosophical questions raised by discoveries in science, focusing most intently on the human condition and the needs of humankind.Here, in a collection of exhilarating essays, Lightman shows us our own universe from a series of fascinating and diverse perspectives. He takes on the difficult dialogue between science and religion; the conflict between our human desire for permanence ...

Einstein 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 in a single quantum theory of gravity? Can quantum and cosmos ever be combined? On this issue, two of the world's most famous physicists--Stephen Hawking (A Brief History of Time) and Roger Penrose (The Emperor...

A fun and fascinating look at great scientific paradoxes.Throughout history, scientists have come up with theories and ideas that just don't seem to make sense. These we call paradoxes. The paradoxes Al-Khalili offers are drawn chiefly from physics and astronomy and represent those that have stumped some of the finest minds. For example, how can a cat be both dead and alive at the same time? Why will Achilles never beat a tortoise in a race, no matter how fast he r...

The Nobel Prize–winner shares "a masterful journey through humankind's scientific coming-of-age" from the Greeks to modern times (Brian Greene).In this rich, irreverent, and compelling history, Nobel Prize-winning physicist Steven Weinberg takes us across centuries of human striving to unravel the mysteries of the world. This sweeping saga ranges from ancient Miletus to medieval Baghdad and Oxford, from Plato's Academy and the Museum of Alexandria to the cathedral s...