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Quantum Supremacy - How the Quantum Computer Revolution Will Change Everything (Large print, Paperback, Large type / large... Quantum Supremacy - How the Quantum Computer Revolution Will Change Everything (Large print, Paperback, Large type / large print edition)
Michio Kaku
R799 R704 Discovery Miles 7 040 Save R95 (12%) Ships in 10 - 15 working days
Strings, Conformal Fields, and M-Theory (Hardcover, 2nd ed. 2000): Michio Kaku Strings, Conformal Fields, and M-Theory (Hardcover, 2nd ed. 2000)
Michio Kaku
R3,687 Discovery Miles 36 870 Ships in 10 - 15 working days

Building on the foundations laid in his Introduction to Superstrings and M Theory, Professor Kaku discusses such topics as the classification of conformal string theories, knot theory, the Yang-Baxter relation, quantum groups, and the insights into 11-dimensional strings recently obtained from M-theory. New chapters discuss such topics as Seiberg-Witten theory, M theory and duality, and D-branes. Throughout, the author conveys the vitality of the current research and places readers at its forefront. Several chapters reviewing the fundamentals of string theory, making the presentation of the material self-contained while keeping overlap with the earlier book to a minimum.

Parallel Worlds - The Science of Alternative Universes and Our Future in the Cosmos (Paperback): Michio Kaku Parallel Worlds - The Science of Alternative Universes and Our Future in the Cosmos (Paperback)
Michio Kaku 2
R295 R272 Discovery Miles 2 720 Save R23 (8%) In Stock

From the bestselling author of Physics of the Impossible, Michio Kaku's Parallel Worlds takes us to the frontiers of scientific knowledge to explain the extraordinary nature - and future - of our universe. Imagine a future where we are not alone - where our universe is just one of countless parallel worlds, some strangely familiar, some almost unimaginable. And that, when planet earth finally runs down to a cold, dark wasteland, we will be able to escape into these new worlds and start again. Michio Kaku's thrilling guide to the galaxy shows us how it could happen sooner than we think - and the future for intelligent life is one of endless possibilities. 'This book is absolutely impossible to put down ... if and when we do find out what the universe is, and how it was created, it's going to be absolutely mind-blowing' Independent on Sunday 'One of the gurus of modern physics' Financial Times 'An exhilarating read ... nobody who reads this book can be anything less than amazed by the possibilities it presents' Scotland on Sunday 'The journey he takes the reader on is so picturesque and the conclusions so startling that you are gripped' Sunday Telegraph Michio Kaku is a leading theoretical physicist and one of the founders of string theory, widely regarded as the strongest candidate for the 'theory of everything'. He is also one of the most gifted popularizers of science of his generation. His books published by Penguin include Parallel Worlds, The Physics of the Future and The Physics of the Impossible. He holds the Henry Semat Professorship in Theoretical Physics at the City University of New York, where he has taught for over twenty-five years.

Quantum Supremacy - How Quantum Computers will Unlock the Mysteries of Science ? and Address Humanity?s Biggest Challenges... Quantum Supremacy - How Quantum Computers will Unlock the Mysteries of Science ? and Address Humanity?s Biggest Challenges (Paperback)
Michio Kaku
R295 R263 Discovery Miles 2 630 Save R32 (11%) Ships in 5 - 10 working days

The runaway success of the microchip processor may be nearing its end, with profound implications for our economy, society and way of life, even leaving Silicon Valley as a new Rust Belt, its technology obsolete. Step forward the quantum computer, which harnesses the power and complexity of the atomic realm, and may be useful in solving humanity's greatest challenges from climate change, to global starvation, to incurable diseases. Humanity's next great technological achievement already promises to be every bit as revolutionary as the transistor and microchip once were. Its unprecedented gains in computing power and unique ability to simulate the physical universe herald advances that could change every aspect of our lives.

Corporations and whole nations are betting on quantum computing, hoping to exploit its power to design more efficient vehicles, create life-saving new drugs and streamline industries to revolutionize the economy. But this is only the beginning. Quantum computers could allow us to finally create nuclear fusion reactors that produce clean, renewable energy without radioactive waste or threats of meltdown. They could help us crack the biological processes that generate natural, cheap fertilizer and enable us to feed the world's growing populations. And they could unravel the fiendishly difficult protein folding that lies at the heart of previously incurable diseases such as Alzheimer's, motor neurone disease and Parkinson's, helping us to live longer, healthier lives. Told with Kaku's signature clarity and enthusiasm, Quantum Supremacy is the story of this exciting frontier and the race to claim humanity's future.

The Best American Science And Nature Writing 2020 (Paperback): Michio Kaku, Jaime Green The Best American Science And Nature Writing 2020 (Paperback)
Michio Kaku, Jaime Green
R546 R506 Discovery Miles 5 060 Save R40 (7%) Ships in 10 - 15 working days

Dr. Michio Kaku, one of the most influential living scientists and a New York Times best-selling author, selects the year's top science and nature writing from writers who balance research with humanity and, in the process, uncover riveting stories of discovery across the disciplines.

Introduction to Superstrings and M-Theory (Hardcover, 2nd ed. 1999. Corr. 2nd printing 1999): Michio Kaku Introduction to Superstrings and M-Theory (Hardcover, 2nd ed. 1999. Corr. 2nd printing 1999)
Michio Kaku
R3,687 Discovery Miles 36 870 Ships in 10 - 15 working days

Superstrings and M-theory: provocative and controversial, but unarguably one of the most interesting and active areas of research in current physics. Called by some, "the theory of everything," superstrings may solve a problem that has eluded physicists for the past 50 years, the final unification of the two great theories of the twentieth century, general relativity and quantum field theory. Now, here is a thoroughly revised, second edition of a course-tested comprehensive introductory graduate text on superstrings which stresses the most current areas of interest, not covered in other presentations, including: · Four-dimensional superstrings · Kac-Moody algebras · Teichmüller spaces and Calabi-Yau manifolds · M-theory Membranes and D-branes · Duality and BPS relations · Matrix models The book begins with a simple discussion of point particle theory, and uses Feynman path integrals to unify the presentation of superstrings. It has been updated throughout, and three new chapters on M-theory have been added. Prerequisites are an acquaintance with quantum mechanics and relativity.

Introduction to Superstrings and M-Theory (Paperback, 2nd ed. 1999. Softcover reprint of the original 2nd ed. 1999): Michio Kaku Introduction to Superstrings and M-Theory (Paperback, 2nd ed. 1999. Softcover reprint of the original 2nd ed. 1999)
Michio Kaku
R2,719 Discovery Miles 27 190 Ships in 10 - 15 working days

Called by some "the theory of everything," superstrings may solve a problem which has eluded physicists for the past 50 years -- the final unification of the two great theories of the twentieth century, general relativity and quantum field theory. This is a course-tested comprehensive introductory graduate text on superstrings which stresses the most current areas of interest, not covered in other presentation, including: string field theory, multi loops, Teichmueller spaces, conformal field theory, and four-dimensional strings. The book begins with a simple discussion of point particle theory, and uses the Feynman path integral technique to unify the presentation of superstrings. Prerequisites are an aquaintance with quantum mechanics and relativity. This second edition has been revised and updated throughout.

Strings, Conformal Fields, and M-Theory (Paperback, 2nd ed. 2000. Softcover reprint of the original 2nd ed. 2000): Michio Kaku Strings, Conformal Fields, and M-Theory (Paperback, 2nd ed. 2000. Softcover reprint of the original 2nd ed. 2000)
Michio Kaku
R2,703 Discovery Miles 27 030 Ships in 10 - 15 working days

Building on the foundations laid in his Introduction to Superstrings and M Theory, Professor Kaku discusses such topics as the classification of conformal string theories, knot theory, the Yang-Baxter relation, quantum groups, and the insights into 11-dimensional strings recently obtained from M-theory. New chapters discuss such topics as Seiberg-Witten theory, M theory and duality, and D-branes. Throughout, the author conveys the vitality of the current research and places readers at its forefront. Several chapters reviewing the fundamentals of string theory, making the presentation of the material self-contained while keeping overlap with the earlier book to a minimum.

The God Equation - The Quest for a Theory of Everything (Hardcover): Michio Kaku The God Equation - The Quest for a Theory of Everything (Hardcover)
Michio Kaku
R571 R495 Discovery Miles 4 950 Save R76 (13%) Ships in 18 - 22 working days
Hyperspace - A Scientific Odyssey through Parallel Universes, Time Warps, and the Tenth Dimension (Paperback): Michio Kaku Hyperspace - A Scientific Odyssey through Parallel Universes, Time Warps, and the Tenth Dimension (Paperback)
Michio Kaku
R381 R347 Discovery Miles 3 470 Save R34 (9%) Ships in 9 - 17 working days

Already thoroughly familiar to the seasoned science fiction fan, hyperspace is that realm which enables a spaceship captain to take his ship on a physics-defying shortcut (or "wormhole") to the outer shores of the Galaxy in less time than it takes a 747 to fly from New York to Tokyo. But might such notions be more than science fiction? Some physicists suggest a 10-dimensional hyperspace may actually exist, albeit at a scale almost too small to comprehend, smaller even than a quark; and that in spite of its tiny size, it may be the basis on which all the forces of nature will be united. Michio Kaku's classic book describes the development of ideas about multidimensional space. In recent years, some theoretical physicists -the author among them - have argued that the Universe exists not merely in the four spacetime dimensions (3 of space + one of time) with which Einstein made us familiar, but rather as a ten-dimensional hyperspace. Once the domain of the science fiction writer or the occultist, hyperspace may, according to superstring theorists, be the way to unify the fundamental forces of nature - Einstein's unfulfilled dream of a theory of everything. Michio Kaku takes the reader on a ride through hyperspace to the edge of physics. On the way he gives crystal clear explanations of such formidable mathematical concepts as non-Euclidean geometry, Kaluza-Klein Theory, and Supergravity, the everyday tools of the string theorist. Utilizing fascinating and often hilarious anecdotes from history, art, and science fiction, Kaku shows us that writers and artists - in addition to scientists - have been fascinated by multidimensional space for over a century. Finally, Kaku proposes that the ability to master hyperspace may be our only salvation from destruction at the end of spacetime. Oxford Landmark Science books are 'must-read' classics of modern science writing which have crystallized big ideas, and shaped the way we think.

The Future of Humanity - Terraforming Mars, Interstellar Travel, Immortality, and Our Destiny Beyond (Paperback): Michio Kaku The Future of Humanity - Terraforming Mars, Interstellar Travel, Immortality, and Our Destiny Beyond (Paperback)
Michio Kaku 2
R295 R272 Discovery Miles 2 720 Save R23 (8%) Ships in 5 - 10 working days

A SUNDAY TIMES BOOK OF THE YEAR The No.1 bestselling author of The Future of the Mind brings us a stunning new vision of our future in space Human civilization is on the verge of living beyond Earth. But how will it happen? World-renowned physicist Michio Kaku takes us on a journey to the future, introducing the mind-boggling developments in robotics, nanotechnology and biotechnology that will one day enable us to make our homes among the stars. 'With admirable clarity and ease, Kaku explains how we might colonize not only Mars but some of the rocky moons of the gas giants Jupiter and Saturn . . . The book has an infectious, can-do enthusiasm' Steven Poole, The Wall Street Journal 'Kaku grounds his readers in science happening right now, while throwing open the windows to imagine where it might lead in a thousand years' Adam Frank, The New York Times Book Review 'Kaku is an international treasure and a man of infectious enthusiasm' The Times

The God Equation - The Quest for a Theory of Everything (Paperback): Michio Kaku The God Equation - The Quest for a Theory of Everything (Paperback)
Michio Kaku
R441 R383 Discovery Miles 3 830 Save R58 (13%) Ships in 18 - 22 working days
Parallel Worlds - A Journey Through Creation, Higher Dimensions, and the Future of the Cosmos (Paperback, 1st Anchor Books ed):... Parallel Worlds - A Journey Through Creation, Higher Dimensions, and the Future of the Cosmos (Paperback, 1st Anchor Books ed)
Michio Kaku
R528 R471 Discovery Miles 4 710 Save R57 (11%) Ships in 18 - 22 working days

Is our universe dying?
Could there be other universes?
In "Parallel Worlds," world-renowned physicist and bestselling author Michio Kaku"--an" author who "has a knack for bringing the most ethereal ideas down to earth" "(Wall Street Journal)--takes readers on a fascinating tour of cosmology, M-theory, and its implications for the fate of the universe.
In his first book of physics since "Hyperspace, Michio Kaku begins by describing the extraordinary advances that have transformed cosmology over the last century, and particularly over the last decade, forcing scientists around the world to rethink our understanding of the birth of the universe, and its ultimate fate. In Dr. Kaku's eyes, we are living in a golden age of physics, as new discoveries from the WMAP and COBE satellites and the Hubble space telescope have given us unprecedented pictures of our universe in its infancy.
As astronomers wade through the avalanche of data from the WMAP satellite, a new cosmological picture is emerging. So far, the leading theory about the birth of the universe is the "inflationary universe theory," a major refinement on the big bang theory. In this theory, our universe may be but one in a multiverse, floating like a bubble in an infinite sea of bubble universes, with new universes being created all the time. A parallel universe may well hover a mere millimeter from our own.
The very idea of parallel universes and the string theory that can explain their existence was once viewed with suspicion by scientists, seen as the province of mystics, charlatans, and cranks. But today, physicists overwhelmingly support string-theory, and its latest iteration, M-theory, as it is this onetheory that, if proven correct, would reconcile the four forces of the universe simply and elegantly, and answer the question "What happened before the big bang?"
Already, Kaku explains, the world's foremost physicists and astronomers are searching for ways to test the theory of the multiverse using highly sophisticated wave detectors, gravity lenses, satellites, and telescopes. The implications of M-theory are fascinating and endless. If parallel worlds do exist, Kaku speculates, in time, perhaps a trillion years or more from now, as appears likely, when our universe grows cold and dark in what scientists describe as a big freeze, advanced civilizations may well find a way to escape our universe in a kind of "inter-dimensional lifeboat."
An unforgettable journey into black holes and time machines, alternate universes, and multidimensional space, "Parallel Worlds gives us a compelling portrait of the revolution sweeping the world of cosmology.

Quantum Field Theory - A Modern Introduction (Paperback, New Ed): Michio Kaku Quantum Field Theory - A Modern Introduction (Paperback, New Ed)
Michio Kaku
R6,545 Discovery Miles 65 450 Ships in 10 - 15 working days

Quantum Field Theory: A Modern Introduction is undoubtedly the standard setting textbook in this field; as it is the only up-to-date introductory textbook to cover the `modern' approach to quantum field theory (QFT). In this textbook, Michio Kaku, goes far beyond existing texts, and presents material vital to the modern approach to QFT. Topics such as critical phenomena, lattice gauge theory, supersymmetry, quantum gravity, supergravity, and superstrings are all included in this textbook and are not included in other textbooks on QFT. There are also over 260 exercises included within the text.

Physics of the Future - The Inventions That Will Transform Our Lives (Paperback): Michio Kaku Physics of the Future - The Inventions That Will Transform Our Lives (Paperback)
Michio Kaku
R341 R311 Discovery Miles 3 110 Save R30 (9%) Ships in 9 - 17 working days

Michio Kaku's Physics of the Future: The Inventions that will Transform our Lives is a hypothetical journey through the next 100 years of scientific innovation, as told by the scientists who are making it happen. We all wish we could predict the future, but most of us don't know enough about the science that makes it possible. That's why Michio Kaku decided to talk to the people who really know - the visionaries who are already inventing the future in their labs. Based on interviews with over three hundred of the world's top scientists, Kaku gives us an insider's perspective on the revolutionary advances that mean we'll soon be able to take an elevator into space, access the internet via our contact lenses, scan our DNA for signs of disease and even change the shape of objects - and all still within the laws of known physics. This isn't just the shape of things to come - as Kaku shows, it's already happening. 'Summons up the sheer wonder of science' Daily Telegraph 'A whirlwind tour of technological possibilities' New Scientist 'One of the gurus of modern physics' Financial Times 'An entertaining account of envelope-pushing research' Economist Michio Kaku is a leading theoretical physicist and one of the founders of string theory, widely regarded as the strongest candidate for the 'theory of everything'. He is also one of the most gifted popularizers ofscience of his generation. His books published by Penguin include Parallel Worlds, The Physics of the Future and The Physics of the Impossible. He holds the Henry Semat Professorship in Theoretical Physics at the City University of New York, where he has taught for over twenty-five years.

The Future of Humanity - Our Destiny in the Universe (Paperback): Michio Kaku The Future of Humanity - Our Destiny in the Universe (Paperback)
Michio Kaku
R461 R407 Discovery Miles 4 070 Save R54 (12%) Ships in 18 - 22 working days
Hyperspace - A Scientific Odyssey through Parallel Universes, Time Warps, and the Tenth Dimension (Paperback): Michio Kaku Hyperspace - A Scientific Odyssey through Parallel Universes, Time Warps, and the Tenth Dimension (Paperback)
Michio Kaku
R473 R413 Discovery Miles 4 130 Save R60 (13%) Ships in 18 - 22 working days

The first book-length exploration of the most exciting development in modern physics, the theory of 10-dimensional space. The theory of hyperspace, which Michio Kaku pioneered, may be the leading candidate for the Theory of Everything that Einstein spent the remaining years of his life searching for.

Physics of the Impossible - A Scientific Exploration into the World of Phasers, Force Fields, Teleportation, and Time Travel... Physics of the Impossible - A Scientific Exploration into the World of Phasers, Force Fields, Teleportation, and Time Travel (Paperback)
Michio Kaku
R470 R411 Discovery Miles 4 110 Save R59 (13%) Ships in 18 - 22 working days

Teleportation, time machines, force fields, and interstellar space ships--the stuff of science fiction or potentially attainable future technologies? Inspired by the fantastic worlds of "Star Trek, Star Wars, "and" Back to the Future," renowned theoretical physicist and bestselling author Michio Kaku takes an informed, serious, and often surprising look at what our current understanding of the universe's physical laws may permit in the near and distant future.
Entertaining, informative, and imaginative, Physics of the Impossible" "probes the very limits of human ingenuity and scientific possibility.

Physics of the Impossible - A Scientific Exploration of the World of Phasers, Force Fields, Teleportation and Time Travel... Physics of the Impossible - A Scientific Exploration of the World of Phasers, Force Fields, Teleportation and Time Travel (Paperback)
Michio Kaku
R337 R306 Discovery Miles 3 060 Save R31 (9%) Ships in 9 - 17 working days

From cyborgs, starships, UFOs, aliens and antimatter to telepathy, invisibility, psychokinesis and precognition, Michio Kaku's Physics of the Impossible is an exciting look at how science fiction could soon become science fact. Albert Einstein said, 'If at first an idea does not sound absurd, there is no hope for it.' Physics of the Impossible shows how our most far-fetched ideas today - from Star Trek's phasers and teleportation to time travel as envisioned by Back to the Future - are destined to become tomorrow's reality. Michio Kaku, bestselling science author and one of the world's most acclaimed physicists, looks at the technologies of the future and explains what's just around the corner, what we might have to wait a few millennia to get our hands on and how surprisingly little of it is truly impossible. 'A brilliant, provocative, freewheeling tour around the exotic shores of physics' Independent 'A rich compendium of jaw-dropping reality checks' The Times 'One of the world's most distinguished physicists ... takes the reader on a journey to the frontiers of science and beyond' Guardian 'After reading Kaku's boundless enthusiasm for the future, what you wouldn't give for a real-life time machine to travel forwards and see just how accurate his predictions are' Sunday Telegraph Michio Kaku is a leading theoretical physicist and one of the founders of string theory, widely regarded as the strongest candidate for the 'theory of everything'. He is also one of the most gifted popularizers of science of his generation. His books published by Penguin include Parallel Worlds, The Physics of the Future and The Physics of the Impossible. He holds the Henry Semat Professorship in Theoretical Physics at the City University of New York, where he has taught for over twenty-five years.

The Best American Science Writing 2012 (Paperback, New): Michio Kaku, Jesse Cohen The Best American Science Writing 2012 (Paperback, New)
Michio Kaku, Jesse Cohen
R430 Discovery Miles 4 300 Ships in 10 - 15 working days

From climate change to public health, the origins of the universe to the wiring of the human brain, parallel universes to artifical intelligence, the world of science is vast and diverse, offering endless challenges and possibilities which provide new understanding of ourselves, our world, and our universe. The acclaimed "Best American Science Writing" series gathers together the creme de la creme of the year's short works, chosen from a wide variety of publications. Provocative and engaging, "The Best American Science Writing 2012" covers the full spectrum of scientific inquiry - from biochemistry, physics, and astronomy, to genetics, evolutionary theory, and cognition. Edited by theoretical physicist Michio Kaku, the New York Times bestselling author of Physics of the Impossible, co-founder of string field theory, and popularizer of science, this next edition in the series provides a comprehensive overview of the year's most compelling, relevant, and exciting scientific developments.

The God Equation - The Quest For A Theory Of Everything (Paperback): Michio Kaku The God Equation - The Quest For A Theory Of Everything (Paperback)
Michio Kaku
R331 R299 Discovery Miles 2 990 Save R32 (10%) Ships in 9 - 17 working days

From the international bestselling author of Physics of the Impossible and Physics of the Future.

This is the story of a quest: to find a Theory of Everything. Einstein dedicated his life to seeking this elusive Holy Grail, a single, revolutionary 'god equation' which would tie all the forces in the universe together, yet never found it. Some of the greatest minds in physics took up the search, from Stephen Hawking to Brian Greene. None have yet succeeded.

In The God Equation, renowned theoretical physicist Michio Kaku takes the reader on a mind-bending ride through the twists and turns of this epic journey: a mystery that has fascinated him for most of his life. He guides us through the key debates in modern physics, from Newton's law of gravity via relativity and quantum mechanics to the latest developments in string theory. It is a tale of dazzling breakthroughs and crushing dead ends, illuminated by Kaku's clarity, storytelling flair and infectious enthusiasm.

The object of the quest is now within sight: we are closer than ever to achieving the most ambitious undertaking in the history of science. If successful, the Theory of Everything could simultaneously unlock the deepest mysteries of space and time, and fulfil that most ancient and basic of human desires - to understand the meaning of our lives.

Beyond Einstein - The Cosmic Quest for the Theory of the Universe (Paperback, Revised ed.): Michio Kaku, Jennifer Trainer... Beyond Einstein - The Cosmic Quest for the Theory of the Universe (Paperback, Revised ed.)
Michio Kaku, Jennifer Trainer Thompson
R433 R374 Discovery Miles 3 740 Save R59 (14%) Ships in 18 - 22 working days

Beyond Einstein takes readers on an exciting excursion into the discoveries that have led scientists to the brightest new prospect in theoretical physics today -- superstring theory. What is superstring theory and why is it important? This revolutionary breakthrough may well be the
fulfillment of  Albert Einstein's lifelong dream of a Theory of Everything, uniting the laws of physics into a single description explaining all the known forces in the universe. Co-authored by one of the leading pioneers in superstrings, Michio Kaku, and completely revised and updated with the newest groundbreaking research, the book approaches scientific questions with the excitement of a detective story, offering a fascinating look at the new science that may make the impossible possible.

The Future of the Mind - The Scientific Quest to Understand, Enhance, and Empower the Mind (Paperback): Michio Kaku The Future of the Mind - The Scientific Quest to Understand, Enhance, and Empower the Mind (Paperback)
Michio Kaku
R487 R430 Discovery Miles 4 300 Save R57 (12%) Ships in 18 - 22 working days
Visions - How Science Will Revolutionize the 21st Century (Paperback, New edition): Michio Kaku Visions - How Science Will Revolutionize the 21st Century (Paperback, New edition)
Michio Kaku 2
R1,030 Discovery Miles 10 300 Ships in 10 - 15 working days

From the author of "Beyond Einstein" and "Hyperspace", this work brings together the research of today's scientists to explore the science of tomorrow. Michio Kaku explores the development of computers and artificial intelligence, reveals how the decoding of the genetic structure of DNA will allow us to alter and reshape our genetic inheritance, and observes how quantum physicists are perfecting new ways of harnessing the matter and energy of the Universe.

Beyond Einstein - Superstrings and the Quest for the Final Theory (Paperback, New Ed): Michio Kaku, Jennifer Thompson Beyond Einstein - Superstrings and the Quest for the Final Theory (Paperback, New Ed)
Michio Kaku, Jennifer Thompson
R897 Discovery Miles 8 970 Ships in 10 - 15 working days

What is superstring theory and why is it important? Can superstrings offer the fulfilment of Einstein's lifelong dream of a Theory of Everything? This account of the discoveries that have led scientists to the brightest new prospect in theoretical physics today is co-authored by the best-selling author of Hyperspace and one of the leading pioneers in superstrings, Michio Kaku. Revised and updated with groundbreaking research, the book approaches scientific questions with the excitement of a detective story, offering a look at the new science that may make the impossible possible.

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