The Mathematical Reality

The Mathematical Reality PDF Author: Alexander Unzicker
Publisher:
ISBN:
Category :
Languages : en
Pages : 222

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Book Description
Alexander Unzicker is a theoretical physicist and writes about elementary questions of natural philosophy. His critique of contemporary physics Bankrupting Physics (Macmillan) received the 'Science Book of the Year' award (German edition 2010). With The Mathematical Reality, Unzicker presents his most fundamental work to date, which is the result of years of study of natural laws and their historical development.The discovery of fundamental laws of nature has influenced the fate of Homo sapiens more than anything else. Has modern physics already understood these laws? Many puzzles formulated by Albert Einstein or Paul Dirac are still unsolved today, in particular the meaning of fundamental constants. In this book, Unzicker contends that a rational description of nature must do without any constants.A methodological and historical analysis shows, however, that the underlying problem of physics is deep, unexpected and fatal: the concepts of space and time themselves, the basis of science since Newton, could be fundamentally inappropriate for the description of reality, although-or precisely because-they are so easily accessible to human perception.A new understanding of reality can only arise from mathematics. By exploring the three-dimensional unitary sphere, which could replace the concepts of space and time, the author presents a mathematical vision that points the way to a new understanding of reality.

The Mathematical Reality

The Mathematical Reality PDF Author: Alexander Unzicker
Publisher:
ISBN:
Category :
Languages : en
Pages : 222

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Book Description
Alexander Unzicker is a theoretical physicist and writes about elementary questions of natural philosophy. His critique of contemporary physics Bankrupting Physics (Macmillan) received the 'Science Book of the Year' award (German edition 2010). With The Mathematical Reality, Unzicker presents his most fundamental work to date, which is the result of years of study of natural laws and their historical development.The discovery of fundamental laws of nature has influenced the fate of Homo sapiens more than anything else. Has modern physics already understood these laws? Many puzzles formulated by Albert Einstein or Paul Dirac are still unsolved today, in particular the meaning of fundamental constants. In this book, Unzicker contends that a rational description of nature must do without any constants.A methodological and historical analysis shows, however, that the underlying problem of physics is deep, unexpected and fatal: the concepts of space and time themselves, the basis of science since Newton, could be fundamentally inappropriate for the description of reality, although-or precisely because-they are so easily accessible to human perception.A new understanding of reality can only arise from mathematics. By exploring the three-dimensional unitary sphere, which could replace the concepts of space and time, the author presents a mathematical vision that points the way to a new understanding of reality.

Our Mathematical Universe

Our Mathematical Universe PDF Author: Max Tegmark
Publisher: Vintage
ISBN: 0307744256
Category : Science
Languages : en
Pages : 434

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Book Description
Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.

Mind Tools

Mind Tools PDF Author: Rudy Rucker
Publisher: Courier Corporation
ISBN: 0486492281
Category : Computers
Languages : en
Pages : 337

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Book Description
Originally published: Boston: Houghton Mifflin, 1987.

The Road to Reality

The Road to Reality PDF Author: Roger Penrose
Publisher: Vintage
ISBN: 0593315308
Category : Science
Languages : en
Pages : 1136

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Book Description
**WINNER OF THE 2020 NOBEL PRIZE IN PHYSICS** The Road to Reality is the most important and ambitious work of science for a generation. It provides nothing less than a comprehensive account of the physical universe and the essentials of its underlying mathematical theory. It assumes no particular specialist knowledge on the part of the reader, so that, for example, the early chapters give us the vital mathematical background to the physical theories explored later in the book. Roger Penrose's purpose is to describe as clearly as possible our present understanding of the universe and to convey a feeling for its deep beauty and philosophical implications, as well as its intricate logical interconnections. The Road to Reality is rarely less than challenging, but the book is leavened by vivid descriptive passages, as well as hundreds of hand-drawn diagrams. In a single work of colossal scope one of the world's greatest scientists has given us a complete and unrivalled guide to the glories of the universe that we all inhabit. 'Roger Penrose is the most important physicist to work in relativity theory except for Einstein. He is one of the very few people I've met in my life who, without reservation, I call a genius' Lee Smolin

Love and Math

Love and Math PDF Author: Edward Frenkel
Publisher: Basic Books
ISBN: 0465069959
Category : Mathematics
Languages : en
Pages : 314

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Book Description
An awesome, globe-spanning, and New York Times bestselling journey through the beauty and power of mathematics What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren't even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry. In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we've never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space. Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man's journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century's leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat's last theorem, that had seemed intractable before. At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.

The Concept of Probability in the Mathematical Representation of Reality

The Concept of Probability in the Mathematical Representation of Reality PDF Author: Hans Reichenbach
Publisher: Full Circle
ISBN:
Category : Mathematics
Languages : de
Pages : 178

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Book Description
The first English translation of Hans Reichenbach's lucid doctoral thesis sheds new light on how Kant's Critique of Pure Reason was understood in some quarters at the time. The source of several themes in his still influential The Direction of Time, the thesis shows Reichenbach's early focus on the interdependence of physics, probability, and epistemology.

Physical Laws of the Mathematical Universe: Who Are We?

Physical Laws of the Mathematical Universe: Who Are We? PDF Author: Neeti Sinha
Publisher: Archway Publishing
ISBN: 1480820504
Category : Science
Languages : en
Pages : 346

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Book Description
Physical Laws of the Mathematical Universe: Who Are We? sets off from the first page on an arduous and ambitious journey to define and describe a comprehensive depiction of reality that embraces the rigors of physics, the elegance of mathematics, and the intricacies of human perception. Neeti Sinha brings to bear her extensive education and research as she pursues an explanation that unites these often disparate disciplines in service of a nuanced description of the wonders of the whole universe. In the course of its exploration of this topic, Physical Laws of the Mathematical Universe: Who Are We? unites insights from the fields of mathematics and physics in light of human perception to explain the contours of the universe and the origins of its parallel forms. The work also demonstrates how major scientific conundrums find their resolution when one adopts a holistic perspective. Finally, the author uncovers the profound foundations of human appreciation for truth and beauty in the aesthetics that bind together physics and mathematics. If you look at your life and the world and wonder about their true nature, then Physical Laws of the Mathematical Universe: Who Are We? will accompany you on a journey that may test the limits of your understandings of the universe while opening to your gaze vistas you previously had not imagined.

The Singular Universe and the Reality of Time

The Singular Universe and the Reality of Time PDF Author: Roberto Mangabeira Unger
Publisher: Cambridge University Press
ISBN: 1107074061
Category : Science
Languages : en
Pages : 567

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Book Description
Roberto Mangabeira Unger and Lee Smolin argue for a revolution in our cosmological ideas. Ideal for non-scientists, physicists and cosmologists.

Particle of Life

Particle of Life PDF Author: Michail Zak
Publisher: Nova Science Publishers
ISBN: 9781629485829
Category : Artificial intelligence
Languages : en
Pages : 0

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Book Description
The book presents a mathematical answer to the ancient philosophical question "How mind is related to matter". It proves that in the mathematical world, the bridge from matter to mind requires extension and modification of quantum physics. The proposed dynamical model that captures behaviour of living things is based upon the extension of the First Principles of classical physics to include the phenomenological behaviour of living systems, i.e. to develop a new mathematical formalism within the framework of classical dynamics that would allow one to capture the specific properties of natural or artificial living systems. The proposed mathematical formalism is quantum-inspired. It is based upon coupling the classical dynamical system representing the motor dynamics with the corresponding Liouville equation describing the evolution of initial uncertainties in terms of the probability density and representing the mental dynamics. Along with the main objective, the book addresses fundamental departures from classical views on some unsolved problems in quantum mechanics. By moving from the Schrödinger to the Madelung equation, it demonstrates that randomness in quantum mechanics has the same mathematical origin as that in turbulence and chaos. It illuminates the origin of entanglement and interference of probabilities. These results are reinforced by similar properties of L-particle that are based upon a modification of the Madelung equation. Therefore, the model of L-particle fits well into the mathematical formalism of modern physics, and that rouses a belief that L-particle is not only a mathematical abstraction, but a reality as well.

Math with Bad Drawings

Math with Bad Drawings PDF Author: Ben Orlin
Publisher: Black Dog & Leventhal
ISBN: 0316509027
Category : Mathematics
Languages : en
Pages : 556

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Book Description
A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.