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Topics in Cyclic Theory

Topics in Cyclic Theory PDF Author: Daniel G. Quillen
Publisher: Cambridge University Press
ISBN: 1108479618
Category : Mathematics
Languages : en
Pages : 331

Book Description
This accessible introduction for Ph.D. students and non-specialists provides Quillen's unique development of cyclic theory.

Topics in Cyclic Theory

Topics in Cyclic Theory PDF Author: Daniel G. Quillen
Publisher: Cambridge University Press
ISBN: 1108479618
Category : Mathematics
Languages : en
Pages : 331

Book Description
This accessible introduction for Ph.D. students and non-specialists provides Quillen's unique development of cyclic theory.

Cycles of Time

Cycles of Time PDF Author: Roger Penrose
Publisher: Vintage
ISBN: 0307596745
Category : Science
Languages : en
Pages : 307

Book Description
From Nobel prize-winner Roger Penrose, this groundbreaking book is for anyone "who is interested in the world, how it works, and how it got here" (New York Journal of Books). Penrose presents a new perspective on three of cosmology’s essential questions: What came before the Big Bang? What is the source of order in our universe? And what cosmic future awaits us? He shows how the expected fate of our ever-accelerating and expanding universe—heat death or ultimate entropy—can actually be reinterpreted as the conditions that will begin a new “Big Bang.” He details the basic principles beneath our universe, explaining various standard and non-standard cosmological models, the fundamental role of the cosmic microwave background, the paramount significance of black holes, and other basic building blocks of contemporary physics. Intellectually thrilling and widely accessible, Cycles of Time is a welcome new contribution to our understanding of the universe from one of our greatest mathematicians and thinkers.

Universal Cycle Theory

Universal Cycle Theory PDF Author: Stephen J. Puetz
Publisher:
ISBN: 9781432781330
Category : Science
Languages : en
Pages : 626

Book Description
These simple statements hold huge implications about how the universe must operate if it was truly infinite rather than finite, as is commonly thought. In one sense, this book, Universal Cycle Theory, may seem radical because it postulates that the universe operates in ways that are dramatically different from what we are taught. Yet, this new theory is conventional in the sense that it closely conforms to virtually all existing laws, equations, and observations. There are only two elements that make the Universal Cycle Theory radical cycles and infinity. Other than that, much of what you read in this book will seem familiar and conventional. Cycles are crucial because they are reflections of how matter behaves in an infinite universe: as vortices and waves. A vortex forms when matter rotates, producing circular cycles. A wave forms when colliding matter compresses and decompresses, producing linear cycles. Infinity is crucial because it explains the extent and structure of the universe. We assume that matter is infinitely divisible in the microscopic direction and infinitely integrable in the macroscopic direction. We assume that time was infinite in the past and will be infinite in the future. This concept of infinity is unique, having never been employed in a model of the universe before. It resolves many of the paradoxes and contradictions currently riddling physics and cosmology.

Cyclic Homology

Cyclic Homology PDF Author: Jean-Louis Loday
Publisher: Springer Science & Business Media
ISBN: 3662217392
Category : Mathematics
Languages : en
Pages : 467

Book Description
This book is a comprehensive study of cyclic homology theory together with its relationship with Hochschild homology, de Rham cohomology, S1 equivariant homology, the Chern character, Lie algebra homology, algebraic K-theory and non-commutative differential geometry. Though conceived as a basic reference on the subject, many parts of this book are accessible to graduate students.

Cyclical Change Continued

Cyclical Change Continued PDF Author: Elly van Gelderen
Publisher: John Benjamins Publishing Company
ISBN: 902726743X
Category : Language Arts & Disciplines
Languages : en
Pages : 429

Book Description
This book presents new data and additional questions regarding the linguistic cycle. The topics discussed are the pronoun, negative, negative existential, analytic-synthetic, distributive, determiner, degree, and future/modal cycles. The papers raise questions about the length of time that cycles take, the interactions between different cycles, the typical stages and their stability, and the areal factors influencing cycles. The languages and language families that are considered in depth are Central Pomo, Cherokee, Chinese, English, French, Gbe, German, Hmong-Mien, Maipurean, Mayan, Mohawk, Mon-Khmer, Niger-Congo, Nupod, Quechuan, Sino-Tibetan, Tai-Kadai , Tuscarora, Ute, and Yoruboid. One paper covers several of the world’s language families. Cyclical change connects linguists working in various frameworks because it is exciting to find a reason behind this fascinating phenomenon.

Cyclic Homology in Non-Commutative Geometry

Cyclic Homology in Non-Commutative Geometry PDF Author: Joachim Cuntz
Publisher: Springer Science & Business Media
ISBN: 3662064448
Category : Mathematics
Languages : en
Pages : 147

Book Description
Contributions by three authors treat aspects of noncommutative geometry that are related to cyclic homology. The authors give rather complete accounts of cyclic theory from different points of view. The connections between (bivariant) K-theory and cyclic theory via generalized Chern-characters are discussed in detail. Cyclic theory is the natural setting for a variety of general abstract index theorems. A survey of such index theorems is given and the concepts and ideas involved in these theorems are explained.

Cyclical Change

Cyclical Change PDF Author: Elly van Gelderen
Publisher: John Benjamins Publishing
ISBN: 9027255296
Category : Language Arts & Disciplines
Languages : en
Pages : 344

Book Description
Linguistic Cycles are ever present in language change and involve a phrase or word that gradually disappears and is replaced by a new linguistic item. The most well-known cycles involve negatives, where an initial single negative, such as "not, " is reinforced by another negative, such as "no thing," and subjects, where full pronouns are reanalyzed as endings on the verb. This book presents new data and insights on the well-known cyclical changes as well as on less well-known ones, such as the preposition, auxiliary, copula, modal, and complementation cycles. Part I covers the negative cycle with chapters looking in great detail at the steps that are typical in this cycle. Part II focuses on pronouns, auxiliaries, and the left periphery. Part III includes work on modals, prepositions, and complementation. The book ends with a psycholinguistic chapter. This book brings together linguists from a variety of theoretical frameworks and contributes to new directions in work on language change.

The Cyclic Universe

The Cyclic Universe PDF Author: Howard Burton
Publisher: Open Agenda Publishing
ISBN: 1771700815
Category : Science
Languages : en
Pages : 55

Book Description
In the last twenty years, cosmology has unexpectedly emerged as one of the most exciting and dynamic fields of modern science. From astoundingly precise measurements of the cosmic microwave background to the ongoing mysteries of dark energy and dark matter, modern cosmology is unquestionably in the midst of its Golden Age. And yet, one of the most eminent mathematical physicists of our age, Roger Penrose is convinced that there is one fundamental problem that is consistently being overlooked: why did our universe begin in such a particular state of extremely low entropy? His Conformal Cyclic Cosmology (CCC) is an attempt to directly address that question. This extensive conversation between Howard Burton and Roger Penrose, co-recipient of the 2020 Nobel Prize in Physics and Emeritus Rouse Ball Professor of Mathematics at the Mathematical Institute at the University of Oxford, explores his motivation to come up with this theory in the first place and provides detailed insights into his groundbreaking research. This carefully-edited book includes an introduction, A Hidden Audience, and questions for discussion at the end of each chapter: I. Inadvertent Success - An inside look at a mysterious publishing phenomenon II. Considering Entropy - Minimum, maximum and both at the same time III. Mysteries and False Explanations - Dark issues and inflationary hyperbole IV. Conformal Geometry - Reinterpreting the end and the beginning V. CCC: The Basic Idea - Matching beginnings and ends, conformally VI. Light Cones - Photons vs. massive particles VII. Massive Headaches - And how we might make them disappear VIII. Necessary Conditions - Dark energy, dark matter and information loss in black holes IX. Cosmic Imprints? - Searching for evidence of past aeons X. Battling Onwards - Challenges of an irrepressibly independent thinker About Ideas Roadshow Conversations Series: This book is part of an expanding series of 100+ Ideas Roadshow conversations, each one presenting a wealth of candid insights from a leading expert through a focused yet informal setting to give non-specialists a uniquely accessible window into frontline research and scholarship that wouldn't otherwise be encountered through standard lectures and textbooks.

Noncommutative Geometry, Arithmetic, and Related Topics

Noncommutative Geometry, Arithmetic, and Related Topics PDF Author: Caterina Consani
Publisher: JHU Press
ISBN: 1421403528
Category : Mathematics
Languages : en
Pages : 324

Book Description
Mathematics Institute, these essays collectively provide mathematicians and physicists with a comprehensive resource on the topic.

Endless Universe

Endless Universe PDF Author: Paul J. Steinhardt
Publisher: Crown
ISBN: 0385523114
Category : Science
Languages : en
Pages : 306

Book Description
Two world-renowned scientists present an audacious new vision of the cosmos that “steals the thunder from the Big Bang theory.” —Wall Street Journal The Big Bang theory—widely regarded as the leading explanation for the origin of the universe—posits that space and time sprang into being about 14 billion years ago in a hot, expanding fireball of nearly infinite density. Over the last three decades the theory has been repeatedly revised to address such issues as how galaxies and stars first formed and why the expansion of the universe is speeding up today. Furthermore, an explanation has yet to be found for what caused the Big Bang in the first place. In Endless Universe, Paul J. Steinhardt and Neil Turok, both distinguished theoretical physicists, present a bold new cosmology. Steinhardt and Turok “contend that what we think of as the moment of creation was simply part of an infinite cycle of titanic collisions between our universe and a parallel world” (Discover). They recount the remarkable developments in astronomy, particle physics, and superstring theory that form the basis for their groundbreaking “Cyclic Universe” theory. According to this theory, the Big Bang was not the beginning of time but the bridge to a past filled with endlessly repeating cycles of evolution, each accompanied by the creation of new matter and the formation of new galaxies, stars, and planets. Endless Universe provides answers to longstanding problems with the Big Bang model, while offering a provocative new view of both the past and the future of the cosmos. It is a “theory that could solve the cosmic mystery” (USA Today).