[PDF] Pythagoras And The Quantum World eBook

Author : Mike Ivsin
Publisher : Lulu.com
Page : 361 pages
File Size : 12,54 MB
Release : 2006-08-01
Category : Science
ISBN : 1847288480

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Numbers, operators, and degrees of independence facilitate creation and organization of the real environment. The explanation and application of quantum mechanics on atomic and cosmic scales is suggested by the Pythagorean tradition

Author : Jane McDonnell
Publisher : Springer
Page : 400 pages
File Size : 13,51 MB
Release : 2016-11-17
Category : Mathematics
ISBN : 331940976X

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This book explores precisely how mathematics allows us to model and predict the behaviour of physical systems, to an amazing degree of accuracy. One of the oldest explanations for this is that, in some profound way, the structure of the world is mathematical. The ancient Pythagoreans stated that “everything is number”. However, while exploring the Pythagorean method, this book chooses to add a second principle of the universe: the mind. This work defends the proposition that mind and mathematical structure are the grounds of reality.

Author : Roland Omnès
Publisher : Princeton University Press
Page : 322 pages
File Size : 50,83 MB
Release : 2002-02-25
Category : Science
ISBN : 1400822866

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In this magisterial work, Roland Omnès takes us from the academies of ancient Greece to the laboratories of modern science as he seeks to do no less than rebuild the foundations of the philosophy of knowledge. One of the world's leading quantum physicists, Omnès reviews the history and recent development of mathematics, logic, and the physical sciences to show that current work in quantum theory offers new answers to questions that have puzzled philosophers for centuries: Is the world ultimately intelligible? Are all events caused? Do objects have definitive locations? Omnès addresses these profound questions with vigorous arguments and clear, colorful writing, aiming not just to advance scholarship but to enlighten readers with no background in science or philosophy. The book opens with an insightful and sweeping account of the main developments in science and the philosophy of knowledge from the pre-Socratic era to the nineteenth century. Omnès then traces the emergence in modern thought of a fracture between our intuitive, commonsense views of the world and the abstract and--for most people--incomprehensible world portrayed by advanced physics, math, and logic. He argues that the fracture appeared because the insights of Einstein and Bohr, the logical advances of Frege, Russell, and Gödel, and the necessary mathematics of infinity of Cantor and Hilbert cannot be fully expressed by words or images only. Quantum mechanics played an important role in this development, as it seemed to undermine intuitive notions of intelligibility, locality, and causality. However, Omnès argues that common sense and quantum mechanics are not as incompatible as many have thought. In fact, he makes the provocative argument that the "consistent-histories" approach to quantum mechanics, developed over the past fifteen years, places common sense (slightly reappraised and circumscribed) on a firm scientific and philosophical footing for the first time. In doing so, it provides what philosophers have sought through the ages: a sure foundation for human knowledge. Quantum Philosophy is a profound work of contemporary science and philosophy and an eloquent history of the long struggle to understand the nature of the world and of knowledge itself.

Author : Kitty Ferguson
Publisher : Icon Books Ltd
Page : 286 pages
File Size : 18,47 MB
Release : 2011-03-03
Category : Mathematics
ISBN : 1848312504

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This is the story of Pythagoras and the Pythagoreans, whose insights transformed the ancient world and still inspire the realms of science, mathematics, philosophy and the arts. Einstein said that the most incredible thing about our universe was that it was comprehensible at all. As Kitty Ferguson explains, Pythagoras had much the same idea - but 2,500 years earlier. Though known by many only for his famous Theorem, in fact the pillars of our scientific tradition - belief that the universe is rational, that there is unity to all things, and that numbers and mathematics are a powerful guide to truth about nature and the cosmos - hark back to the convictions of this legendary scholar. Kitty Ferguson brilliantly evokes Pythagoras' ancient world of, showing how ideas spread in antiquity, and chronicles the incredible influence he and his followers have had on so many extraordinary people in the history of Western thought and science. 'Pythagoras' influence on the ideas, and therefore on the destiny, of the human race was probably greater than that of any single man before or after him' - Arthur Koestler.

Author : A. Douglas Stone
Publisher : Princeton University Press
Page : 344 pages
File Size : 45,53 MB
Release : 2015-10-06
Category : Science
ISBN : 0691168563

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The untold story of Albert Einstein's role as the father of quantum theory Einstein and the Quantum reveals for the first time the full significance of Albert Einstein's contributions to quantum theory. Einstein famously rejected quantum mechanics, observing that God does not play dice. But, in fact, he thought more about the nature of atoms, molecules, and the emission and absorption of light—the core of what we now know as quantum theory—than he did about relativity. A compelling blend of physics, biography, and the history of science, Einstein and the Quantum shares the untold story of how Einstein—not Max Planck or Niels Bohr—was the driving force behind early quantum theory. It paints a vivid portrait of the iconic physicist as he grappled with the apparently contradictory nature of the atomic world, in which its invisible constituents defy the categories of classical physics, behaving simultaneously as both particle and wave. And it demonstrates how Einstein's later work on the emission and absorption of light, and on atomic gases, led directly to Erwin Schrödinger's breakthrough to the modern form of quantum mechanics. The book sheds light on why Einstein ultimately renounced his own brilliant work on quantum theory, due to his deep belief in science as something objective and eternal.

Author : Robert J. Scully
Publisher : Wiley-VCH
Page : 275 pages
File Size : 22,92 MB
Release : 2010-11-15
Category : Science
ISBN : 9783527409839

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Eagerly awaited, the new edition of this successful text is now available in paperback. Maxwell's Demon is a character in an 1867 thought experiment by the Scottish physicist James Clerk Maxwell, meant to raise questions about the second law of thermodynamics. This book explains the connection between Maxwell's Demon and the role of the observer and quantum eraser, showing that information science, thermodynamics and quantum physics are closely related. We often hear phrases like quantum weirdness and the strange world of the quantum. A fact that is not so widely appreciated is that quantum mechanics can (and does) shed light on problems such as the Maxwell Demon Paradox of thermodynamics, the seemingly spiritual nature of information, and even, perhaps, new insights into the existence of Mind! The common denominator of all this is the fact that information is a real physical quantity. Information is more than something just in our mind; it is the essence of, and in many ways more general than the concept of entropy. By focusing on entropy, information, and observation, the authors bring a unique perspective to this subject, and offer insight into the strange ways of the quantum which will not only fascinate scientists but lay persons as well. Key features of the new paperback edition: Explains the connection between Maxwell's Demon and the role of the observer Takes a completely new approach to quantum mechanics and quantum information theory which is of interest to students from undergraduate level onwards as well as researchers and lay persons Written by two authors who approach the topic from two different angles and combine both the scholar's and the layperson's perspective in a most interesting and enjoyable fashion Treats central concepts such as entropy, information and intelligence in a comprehensible and entertaining way Includes fresh biographical material on key researchers like Planck, Schrödinger, and others is presented at the beginning of each chapter Mathematical formulae have been removed and replaced by a history of famous Erwin Schrödinger Praise for the previous edition: "The Demon and the Quantum is accessible to a large spectrum of readers of PHYSICS TODAY; it is worthwhile reading?" Physics Today

Author : Robert P Crease
Publisher : National Geographic Books
Page : 0 pages
File Size : 10,55 MB
Release : 2015-12-01
Category : Science
ISBN : 0393351920

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"A very fun way to learn about where quantum physics comes from and the strange, even astonishing places it has gone." —Peter Galison, Harvard University, author of Einstein’s Clocks, Poincaré’s Maps From multiverses and quantum leaps to Schrödinger’s cat and time travel, quantum mechanics has irreversibly shaped the popular imagination. Entertainers and writers from Lady Gaga to David Foster Wallace take advantage of its associations and nuances. In The Quantum Moment, philosopher Robert P. Crease and physicist Alfred Scharff Goldhaber recount the fascinating story of how the quantum jumped from physics into popular culture, with brief explorations of the underlying math and physics concepts and descriptions of the fiery disputes among figures including Einstein, Schrödinger, and Niels Bohr. Understanding and appreciating quantum imagery, its uses and abuses, is part of what it means to be an educated person in the twenty-first century. The Quantum Moment serves as an indispensable guide.

Author : Kitty Ferguson
Publisher : Bloomsbury Publishing USA
Page : 384 pages
File Size : 27,76 MB
Release : 2011-01-10
Category : Biography & Autobiography
ISBN : 0802779638

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The enthralling story of Pythagoras and the Pythagoreans, whose insights transformed the ancient world and still inspire the realms of science, mathematics, philosophy, and the arts. "Pythagoras's influence on the ideas, and therefore on the destiny, of the human race was probably greater than that of any single man before or after him," wrote Arthur Koestler. Though most people know of him only for the famous Pythagorean Theorem (a2 +b2=c2), in fact the pillars of our scientific tradition-belief that the universe is rational, that there is unity to all things, and that numbers and mathematics are a powerful guide to truth about nature and the cosmos-hark back to the convictions of this legendary sixth-century B.C. scholar. Born around 570 B.C. on the cultured Aegean island of Samos, Pythagoras (according to ancient tales) studied with the sage Thales nearby at Miletus, and with priests and scribes in Egypt and Babylon. Eventually he founded his own school at Croton in southern Italy, where he and his followers began to unravel the surprising deep truths concealed behind such ordinary tasks as tuning a lyre. While considering why some string lengths produced beautiful sounds and others discordant ones, they uncovered the ratios of musical harmony, and recognized that hidden behind the confusion and complexity of nature are patterns and orderly relationships. They had surprised the Creator at his drafting board and had glimpsed the mind of God! Some of them later would also find something darker in numbers and nature: irrationality, a revelation so unsettling and subversive that it may have contributed to the destruction of their brotherhood.