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

Get Book

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.

Farewell to Reality

Farewell to Reality PDF Author: Jim Baggott
Publisher: Open Road Media
ISBN: 1453299149
Category : Science
Languages : en
Pages : 454

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Book Description
From acclaimed science author Jim Baggot, a lively, provocative, and “intellectually gratifying” critique of modern theoretical physics (The Economist). Where does one draw the line between solid science and fairy-tale physics? Jim Baggott argues that there is no observational or experimental evidence for many of the ideas of modern theoretical physics: super-symmetric particles, super strings, the multiverse, the holographic principle, or the anthropic cosmological principle. Unafraid to challenge prominent theorists, Baggott offers engaging portraits of many central figures of modern physics, including Stephen Hawking, Paul Davies, John D. Barrow, Brian Greene, and Leonard Susskind. Informed, comprehensive, and balanced, Farewell to Reality discusses the latest ideas about the nature of physical reality while clearly distinguishing between fact and fantasy, providing essential and entertaining reading for everyone interested in what we know and don’t know about the nature of the universe and reality itself.

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.

Illustrating Mathematics

Illustrating Mathematics PDF Author: Diana Davis
Publisher: American Mathematical Soc.
ISBN: 1470461226
Category : Education
Languages : en
Pages : 171

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Book Description
This book is for anyone who wishes to illustrate their mathematical ideas, which in our experience means everyone. It is organized by material, rather than by subject area, and purposefully emphasizes the process of creating things, including discussions of failures that occurred along the way. As a result, the reader can learn from the experiences of those who came before, and will be inspired to create their own illustrations. Topics illustrated within include prime numbers, fractals, the Klein bottle, Borromean rings, tilings, space-filling curves, knot theory, billiards, complex dynamics, algebraic surfaces, groups and prime ideals, the Riemann zeta function, quadratic fields, hyperbolic space, and hyperbolic 3-manifolds. Everyone who opens this book should find a type of mathematics with which they identify. Each contributor explains the mathematics behind their illustration at an accessible level, so that all readers can appreciate the beauty of both the object itself and the mathematics behind it.

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.