Unlock the mysteries of maths and discover the wonder of numbers.

Unique in its field, this book uses a methodology that is entirely new, creating the simplest and most abstract foundations for physics to date. The author proposes a fundamental description of process in a universal computational rewrite system, leading to an irreducible form of relativistic quantum mechanics from a single operator. This is not only simpler, and more fundamental, but also seemingly more powerful than any other quantum mechanics formalism available. The methodology finds immediate applications in particle physics, theoretical physics and theoretical computing. In addition, taking the rewrite structure more generally as a description of process, the book shows how it can be applied to large-scale structures beyond the realm of fundamental physics. Sample Chapter(s). Chapter 1: Zero (228 KB). Contents: Zero; Why Does Physics Work?; The Emergence of Physics; Groups and Representations; Breaking the Dirac Code; The Dirac Nilpotent; Nonrelativistic Quantum Mechanics and the Classical Transition; The Classical and Special Relativistic Approximations; The Resolution of Paradoxes; Electric, Strong and Weak Interactions; QED and Its Analogues; Vacuum; Fermion and Boson Structures; A Representation of Strong and Weak Interactions; Grand Unification and Particle Masses; The Factor 2 and Duality; Gravity and Inertia; Dimensionality, Strings and Quantum Gravity; Nature''s Code; Nature''s Rule; Infinity. Readership: Researchers in quantum, theoretical and high energy physics.

SHORTLISTED FOR THE 2017 ROYAL SOCIETY SCIENCE BOOK PRIZE Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity. What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough? Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small.

Eli Maor examines the role of infinity in mathematics and geometry and its cultural impact on the arts and sciences. He evokes the profound intellectual impact the infinite has exercised on the human mind, from the "horror infiniti" of the Greeks to the works of M.C. Escher; from the ornamental designs of the Moslems, to the sage Giordano Bruno, whose belief in an infinite universe led to his death at the hands of the Inquisition. But above all, the book describes the mathematician's fascination with infinity, a fascination mingled with puzzlement. "Maor explores the idea of infinity in mathematics and in art and argues that this is the point of contact between the two, best exemplified by the work of the Dutch artist M.C. Escher, six of whose works are shown here in beautiful color plates."--Los Angeles Times "[Eli Maor's] enthusiasm for the topic carries the reader through a rich panorama." Choice "Fascinating and enjoyable.... places the ideas of infinity in a cultural context and shows how they have been espoused and molded by mathematics."-Science.

Count to Infinity is John C. Wright's spectacular conclusion to the thought-provoking hard science fiction Eschaton Sequence, exploring future history and human evolution. An epic space opera finale worthy of the scope and wonder of The Eschaton Sequence: Menelaus Montrose is locked in a final battle of wits, bullets, and posthuman intelligence with Ximen del Azarchel for the fate of humanity in the far future. The alien monstrosities of Ain at long last are revealed, their hidden past laid bare, along with the reason for their brutal treatment of Man and all the species seeded throughout the galaxy. And they have still one more secret that could upend everything Montrose has fought for and lived so long to achieve. The Eschaton Sequence #1 Count to a Trillion #2 The Hermetic Millennia #3 The Judge of Ages #4 The Architect of Aeons #5 The Vindication of Man At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.

'Science has never had an advocate quite like David Deutsch ... A computational physicist on a par with his touchstones Alan Turing and Richard Feynman, and a philosopher in the line of his greatest hero, Karl Popper. His arguments are so clear that to read him is to experience the thrill of the highest level of discourse available on this planet and to understand it' Peter Forbes, Independent In our search for truth, how far have we advanced? This uniquely human quest for good explanations has driven amazing improvements in everything from scientific understanding and technology to politics, moral values and human welfare. But will progress end, either in catastrophe or completion - or will it continue infinitely? In this profound and seminal book, David Deutsch explores the furthest reaches of our current understanding, taking in the Infinity Hotel, supernovae and the nature of optimism, to instill in all of us a wonder at what we have achieved - and the fact that this is only the beginning of humanity's infinite possibility. 'This is Deutsch at his most ambitious, seeking to understand the implications of our scientific explanations of the world ... I enthusiastically recommend this rich, wide-ranging and elegantly written exposition of the unique insights of one of our most original intellectuals' Michael Berry, Times Higher Education Supplement 'Bold ... profound ... provocative and persuasive' Economist 'David Deutsch may well go down in history as one of the great scientists of our age' Scotsman

“With [The Universe Within’s] deeply thoughtful reflections on the place of science in society, on the need to educate the underserved, and on plenty of other topics rarely addressed in this sort of book, Turok takes you where no physicist has gone before. It’s well worth making the journey with him.” — TIME Magazine Winner of the Lane Anderson Award, longlisted for the Charles Taylor Prize, shortlisted for the Libris Award for Non-Fiction and selected as an Amazon.ca Best Book The most anticipated nonfiction book of the season, this year's Massey Lectures is a visionary look at the way the human mind can shape the future by world-renowned physicist Neil Turok. Every technology we rely on today was created by the human mind, seeking to understand the universe around us. Scientific knowledge is our most precious possession, and our future will be shaped by the breakthroughs to come. In this personal, visionary, and fascinating work, Neil Turok, Director of the Perimeter Institute for Theoretical Physics, explores the transformative scientific discoveries of the past three centuries -- from classical mechanics, to the nature of light, to the bizarre world of the quantum, and the evolution of the cosmos. Each new discovery has, over time, yielded new technologies causing paradigm shifts in the organization of society. Now, he argues, we are on the cusp of another major transformation: the coming quantum revolution that will supplant our current, dissatisfying digital age. Facing this brave new world, Turok calls for creatively re-inventing the way advanced knowledge is developed and shared, and opening access to the vast, untapped pools of intellectual talent in the developing world. Scientific research, training, and outreach are vital to our future economy, as well as powerful forces for peaceful global progress. Elegantly written, deeply provocative, and highly inspirational, The Universe Within is, above all, about the future -- of science, of society, of ourselves.

Considering the concept of parallel universes originating and structured from the Main Universe, even on an intellectual basis, it can be calculated at least how many parallel universes there are. It can be accepted that the same living and non-living things live at a different time in each parallel universe. In this case, if a living creature is considered to live for a maximum of 150 years, in line with today's knowledge and conditions, and if the difference between different time periods is considered to be 1 second, the following result can be obtained. (150 x 365 x 24 x 60 x 60) The result of this process shows how many seconds 150 years are. In this case, it can be calculated that there are at least 4,730,400,000 parallel universes. In addition, with a calculation, it can be determined when the parallel universes will be completely free of living things or when the living things will die, and this can give an idea about when the apocalypse will occur. For this, the following information is required: the number of all living things should not increase, but should stop and go backwards, that is, enter into a process of decrease. For example, if the rate of increase in living beings is 0% after (m) years and the number of living beings at that moment (human, animal, plant, etc.) is accepted as (n) and one living creature among these living beings lives for a maximum of (k) years, then the intellectual Basically, we can say that the apocalypse may happen in the year (2024 + m + n + 2k). (On an A.D. basis.) This calculation also includes the possibility of teleportation and time travel applications at the scientific and technological level (m) years from now and the possibility of going back and forward in time (n) years.

A fun, dazzling exploration of the strange numbers that illuminate the ultimate nature of reality. For particularly brilliant theoretical physicists like James Clerk Maxwell, Paul Dirac, or Albert Einstein, the search for mathematical truths led to strange new understandings of the ultimate nature of reality. But what are these truths? What are the mysterious numbers that explain the universe? In Fantastic Numbers and Where to Find Them, the leading theoretical physicist and YouTube star Antonio Padilla takes us on an irreverent cosmic tour of nine of the most extraordinary numbers in physics, offering a startling picture of how the universe works. These strange numbers include Graham’s number, which is so large that if you thought about it in the wrong way, your head would collapse into a singularity; TREE(3), whose finite nature can never be definitively proved, because to do so would take so much time that the universe would experience a Poincaré Recurrence—resetting to precisely the state it currently holds, down to the arrangement of individual atoms; and 10^{-120}, measuring the desperately unlikely balance of energy needed to allow the universe to exist for more than just a moment, to extend beyond the size of a single atom—in other words, the mystery of our unexpected universe. Leading us down the rabbit hole to a deeper understanding of reality, Padilla explains how these unusual numbers are the key to understanding such mind-boggling phenomena as black holes, relativity, and the problem of the cosmological constant—that the two best and most rigorously tested ways of understanding the universe contradict one another. Fantastic Numbers and Where to Find Them is a combination of popular and cutting-edge science—and a lively, entertaining, and even funny exploration of the most fundamental truths about the universe.

Do you want to know why the Ancient Greeks knew so much maths? Or, why there was so little maths studied in the Dark Ages? Read this fascinating book to uncover the mysteries of maths ...