Mathematical Aspects Of Paradoxes In Cosmology

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Mathematical Aspects of Paradoxes in Cosmology

Author : Michal Křížek
Publisher : Springer Nature
ISBN 13 : 3031317688
Total Pages : 270 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Mathematical Aspects of Paradoxes in Cosmology by : Michal Křížek

Download or read book Mathematical Aspects of Paradoxes in Cosmology written by Michal Křížek and published by Springer Nature. This book was released on 2023-07-05 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a mathematical and numerical analysis of many problems which lead to paradoxes in contemporary cosmology, in particular, the existence of dark matter and dark energy. It is shown that these hypothetical quantities arise from excessive extrapolations of simple mathematical models to the whole physical universe. Written in a completely different style to most books on General Relativity and cosmology, the important results take the form of mathematical theorems with precise assumptions and statements. All theorems are followed by a corresponding proof, or an exact reference to the proof. Some nonstandard topics are also covered, including violation of the causality principle in Newtonian mechanics, a critical mathematical and numerical analysis of Mercury's perihelion shift, inapplicability of Einstein's equations to the classical two-body problem due to computational complexity, non-uniqueness of the notion of universe, the topology of the universe, various descriptions of a hypersphere, regular tessellations of hyperbolic spaces, local Hubble expansion of the universe, neglected gravitational redshift in the detection of gravitational waves, and the possible distribution of mass inside a black hole. The book also dispels some myths appearing in the theory of relativity and in contemporary cosmology. For example, although the hidden assumption that Einstein's equations provide a good description of the evolution of the whole universe is considered to be obvious, it is just a null hypothesis which has not been verified by any experiment, and has only been postulated by excessive extrapolations of many orders of magnitude.

Cosmic Paradoxes (Third Edition)

Author : Julio A Gonzalo
Publisher : World Scientific
ISBN 13 : 981126208X
Total Pages : 249 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Cosmic Paradoxes (Third Edition) by : Julio A Gonzalo

Download or read book Cosmic Paradoxes (Third Edition) written by Julio A Gonzalo and published by World Scientific. This book was released on 2022-08-18 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Cosmic Paradoxes' was an outcome of a Conference-Summer Course on 'Astrophysical Cosmology: Frontier Questions' held at El Escorial, Madrid, on August 16-19, 1993. The Scientific Directors were John C Mather, Director of NASA's COBE (Cosmic Background Radiation Explorer), and Jose M Torroja, Secretary of the Spanish Academy of Sciences. Julio A Gonzalo, UAM, was in charge of coordinating the event. The first speaker was Ralph A Alpher, one of the pioneers who predicted very early the CBR (Cosmic Background Radiation). The CBR was observed by A Penzias and R Wilson, Bell Telephone Labs, in 1965. Thereafter it was measured with unprecedented precision by the COBE in 1989, characterizing the Planck spectral distribution of the CBR (J C Mather) and detecting its minute anisotropies (G Smoot). In 2003 the WMAP, NASA's satellite successor of the COBE, confirmed COBE's results, and gave an excellent quantitative estimate of the 'age' of the universe as 13.7 ± 0.2 Gyrs, in support of the Big Bang theory of cosmic origins.In the Third Edition of this book, almost coincident with the launch reports of NASA's James Webb Space Telescope (JWST), includes recent work discussing evidence in favor of an open finite universe. A further discussion of the Heisenberg-Lemaitre time (Appendix D) takes into consideration that the cosmic expansion velocity at very early times is Ṙ(yHL)≫c and reviews in more detail the thermal history of the universe.

Paradoxes

Author : Hamza E. Alsamraee
Publisher : Curious Math Publications
ISBN 13 : 1735715603
Total Pages : 214 pages
Book Rating : 4.7/5 (357 download)

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Book Synopsis Paradoxes by : Hamza E. Alsamraee

Download or read book Paradoxes written by Hamza E. Alsamraee and published by Curious Math Publications. This book was released on 2020-09-10 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Does .999?=1? Can you cut and reassemble a sphere into two identically sized spheres? Is the consistency of mathematical systems unprovable? Surprisingly, the answer to all of these questions is yes! And at the heart of each question, there lies paradox. For millennia, paradoxes have shaped mathematics and guided mathematical progress forwards. From the ancient paradoxes of Zeno to the modern paradoxes of Russell, paradoxes remind us of the constant need to revamp our mathematical understanding. It is for this reason that paradoxes are so important. Paradoxes: Guiding Forces in Mathematical Exploration provides a survey of mathematical paradoxes spanning a wide variety of topics. It delves into each paradox mathematically, philosophically, and historically, and attempts to provide a full picture of how paradoxes contributed to the progress of mathematics and guided it in many ways. In addition, it discusses how paradoxes can be useful as educational tools. All of that, plus the fact that it is written in a way that is accessible to anyone with a high school background in mathematics! Entertaining and educational, this book will appeal to any reader looking for a mathematical and philosophical challenge.

Mathematical Cosmology

Author : Peter Theodore Landsberg
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Mathematical Cosmology by : Peter Theodore Landsberg

Download or read book Mathematical Cosmology written by Peter Theodore Landsberg and published by Oxford University Press, USA. This book was released on 1979 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cosmic Paradoxes

Author : Julio Antonio Gonzalo
Publisher :
ISBN 13 : 9789814355124
Total Pages : 157 pages
Book Rating : 4.3/5 (551 download)

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Book Synopsis Cosmic Paradoxes by : Julio Antonio Gonzalo

Download or read book Cosmic Paradoxes written by Julio Antonio Gonzalo and published by . This book was released on 2011 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt:

In Search of Infinity

Author : N.Ya. Vilenkin
Publisher : Springer Science & Business Media
ISBN 13 : 1461208378
Total Pages : 151 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis In Search of Infinity by : N.Ya. Vilenkin

Download or read book In Search of Infinity written by N.Ya. Vilenkin and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of infinity is one of the most important, and at the same time, one of the most mysterious concepts of science. Already in antiquity many philosophers and mathematicians pondered over its contradictory nature. In mathematics, the contradictions connected with infinity intensified after the creation, at the end of the 19th century, of the theory of infinite sets and the subsequent discovery, soon after, of paradoxes in this theory. At the time, many scientists ignored the paradoxes and used set theory extensively in their work, while others subjected set-theoretic methods in mathematics to harsh criticism. The debate intensified when a group of French mathematicians, who wrote under the pseudonym of Nicolas Bourbaki, tried to erect the whole edifice of mathematics on the single notion of a set. Some mathematicians greeted this attempt enthusiastically while others regarded it as an unnecessary formalization, an attempt to tear mathematics away from life-giving practical applications that sustain it. These differences notwithstanding, Bourbaki has had a significant influence on the evolution of mathematics in the twentieth century. In this book we try to tell the reader how the idea of the infinite arose and developed in physics and in mathematics, how the theory of infinite sets was constructed, what paradoxes it has led to, what significant efforts have been made to eliminate the resulting contradictions, and what routes scientists are trying to find that would provide a way out of the many difficulties.

Oppositions and Paradoxes

Author : John L. Bell
Publisher : Broadview Press
ISBN 13 : 1554813026
Total Pages : 218 pages
Book Rating : 4.5/5 (548 download)

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Book Synopsis Oppositions and Paradoxes by : John L. Bell

Download or read book Oppositions and Paradoxes written by John L. Bell and published by Broadview Press. This book was released on 2016-04-18 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since antiquity, opposed concepts such as the One and the Many, the Finite and the Infinite, and the Absolute and the Relative, have been a driving force in philosophical, scientific, and mathematical thought. Yet they have also given rise to perplexing problems and conceptual paradoxes which continue to haunt scientists and philosophers. In Oppositions and Paradoxes, John L. Bell explains and investigates the paradoxes and puzzles that arise out of conceptual oppositions in physics and mathematics. In the process, Bell not only motivates abstract conceptual thinking about the paradoxes at issue, but he also offers a compelling introduction to central ideas in such otherwise-difficult topics as non-Euclidean geometry, relativity, and quantum physics. These paradoxes are often as fun as they are flabbergasting. Consider, for example, the famous Tristram Shandy paradox: an immortal man composing an autobiography so slowly as to require a year of writing to describe each day of his life — he would, if he had infinite time, presumably never complete the work, although no individual part of it would remain unwritten. Or think of an office mailbox labelled “mail for those with no mailbox”—if this is a person’s mailbox, how can they possibly have “no mailbox”? These and many other paradoxes straddle the boundary between physics and metaphysics, and demonstrate the hidden difficulty in many of our most basic concepts.

Mathematical and Quantum Aspects of Relativity and Cosmology

Author : Spiros Cotsakis
Publisher : Springer Science & Business Media
ISBN 13 : 3540668659
Total Pages : 259 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Mathematical and Quantum Aspects of Relativity and Cosmology by : Spiros Cotsakis

Download or read book Mathematical and Quantum Aspects of Relativity and Cosmology written by Spiros Cotsakis and published by Springer Science & Business Media. This book was released on 2000-01-24 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written in a pedagogical style intelligible for graduate students. It reviews recent progress in black-hole and wormhole theory and in mathematical cosmology within the framework of Einstein's field equations and beyond, including quantum effects. This collection of essays, written by leading scientists of long standing reputation, should become an indispensable source for future research.

The Big Bang: A Theory Based on Invalid Physics and Erroneous Mathematics.

Author : ROGELIO PEREZ CASADIEGO
Publisher : rogelio perez
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4./5 ( download)

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Book Synopsis The Big Bang: A Theory Based on Invalid Physics and Erroneous Mathematics. by : ROGELIO PEREZ CASADIEGO

Download or read book The Big Bang: A Theory Based on Invalid Physics and Erroneous Mathematics. written by ROGELIO PEREZ CASADIEGO and published by rogelio perez. This book was released on with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book studies the cosmogonies of ancient civilizations and the emergence of rational thought in Classical Greece with philosophers such as Thales, Anaximander and Heraclitus. It then analyzes the cosmological theories of Aristotle, Claudius Ptolemy and Nicolaus Copernicus. Subsequently, the origin of modern cosmology is examined with the Big Bang theory, explaining concepts such as the cosmic microwave background radiation, Hubble's Law and the notion of "singularity" at the time of the origin of the universe. The author argues that the Big Bang theory has serious problems, from mathematical paradoxes to faulty analogies between natural and unnatural phenomena. He concludes that this theory gives exotic properties to matter, reflecting more the minds of its creators than the actual workings of the universe. In short, a rigorous journey that invites us to critically rethink the foundations of modern cosmology in order to give way to explanations more consistent with the fundamental laws of nature regarding the origins of the cosmos.

Reason, Science, and Paradox

Author : Joseph Wayne Smith
Publisher : Routledge
ISBN 13 : 9780709944300
Total Pages : 301 pages
Book Rating : 4.9/5 (443 download)

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Book Synopsis Reason, Science, and Paradox by : Joseph Wayne Smith

Download or read book Reason, Science, and Paradox written by Joseph Wayne Smith and published by Routledge. This book was released on 1986 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Puzzles and Paradoxes in Relativity and Cosmology

Author : Oliver Linton
Publisher :
ISBN 13 : 9781471058509
Total Pages : 0 pages
Book Rating : 4.0/5 (585 download)

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Book Synopsis Puzzles and Paradoxes in Relativity and Cosmology by : Oliver Linton

Download or read book Puzzles and Paradoxes in Relativity and Cosmology written by Oliver Linton and published by . This book was released on 2021-06-21 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Don't Be Afraid of Physics

Author : Ross Barrett
Publisher : Springer Nature
ISBN 13 : 3030634094
Total Pages : 297 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Don't Be Afraid of Physics by : Ross Barrett

Download or read book Don't Be Afraid of Physics written by Ross Barrett and published by Springer Nature. This book was released on 2020-12-23 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the aid of entertaining short stories, anecdotes, lucid explanations and straight-forward figures, this book challenges the perception that the world of physics is inaccessible to the non-expert. Beginning with Neanderthal man, it traces the evolution of human reason and understanding from paradoxes and optical illusions to gravitational waves, black holes and dark energy. On the way, it provides insights into the mind-boggling advances at the frontiers of physics and cosmology. Unsolved problems and contradictions are highlighted, and contentious issues in modern physics are discussed in a non-dogmatic way in a language comprehensible to the non-scientist. It has something for everyone.

Our Mathematical Universe

Author : Max Tegmark
Publisher : Vintage
ISBN 13 : 0307744256
Total Pages : 434 pages
Book Rating : 4.3/5 (77 download)

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Book Synopsis Our Mathematical Universe by : Max Tegmark

Download or read book Our Mathematical Universe written by Max Tegmark and published by Vintage. This book was released on 2015-02-03 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Paradoxes of Measures and Dimensions Originating in Felix Hausdorff's Ideas

Author : Janusz Czyz
Publisher : World Scientific
ISBN 13 : 9814506958
Total Pages : 764 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Paradoxes of Measures and Dimensions Originating in Felix Hausdorff's Ideas by : Janusz Czyz

Download or read book Paradoxes of Measures and Dimensions Originating in Felix Hausdorff's Ideas written by Janusz Czyz and published by World Scientific. This book was released on 1994-01-14 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, many ideas by Felix Hausdorff are described and contemporary mathematical theories stemming from them are sketched. Contents:The Paradox of the SphereInaccessible Numbers and the Hierarchal Structure of Set TheoryThe Hausdorff Measures, Hausdorff Dimensions and FractalsThe Baker-Campbell-Hausdorff FormulaHausdorff MatricesAppendixReferences Readership: Mathematicians, logicians and mathematical physicists. Keywords:Banach-Tarski Paradox;Inaccessible Cardinals;Large Cardinals;Hausdorff Dimension;Fractal;Baker-Campbell-Hausdorff Formula;Lie Superalgebra;Lie Supergroup;Hausdorfd Matrix;Hausdorff Summation;Young-Hausdorff InequalityReview: “Each chapter concludes with an extensive bibliography on the subject. The book should be accessible to mathematicians, pure and applied, as well as to theoretical physicists.” Mathematics Abstracts

The Dark Forest

Author : Cixin Liu
Publisher : Tor Books
ISBN 13 : 1466853433
Total Pages : 513 pages
Book Rating : 4.4/5 (668 download)

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Book Synopsis The Dark Forest by : Cixin Liu

Download or read book The Dark Forest written by Cixin Liu and published by Tor Books. This book was released on 2015-08-11 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: The inspiration for the Netflix series 3 Body Problem! Over 1 million copies of the Three-Body Problem series sold in North America PRAISE FOR THE THREE-BODY PROBLEM SERIES: “A mind-bending epic.”—The New York Times • “War of the Worlds for the 21st century.”—The Wall Street Journal • “Fascinating.”—TIME • “Extraordinary.”—The New Yorker • “Wildly imaginative.”—Barack Obama • “Provocative.”—Slate • “A breakthrough book.”—George R. R. Martin • “Impossible to put down.”—GQ • “Absolutely mind-unfolding.”—NPR • “You should be reading Liu Cixin.”—The Washington Post The Dark Forest is the second novel in the groundbreaking, Hugo Award-winning series from China's most beloved science fiction author, Cixin Liu. In The Dark Forest, Earth is reeling from the revelation of a coming alien invasion-in just four centuries' time. The aliens' human collaborators may have been defeated, but the presence of the sophons, the subatomic particles that allow Trisolaris instant access to all human information, means that Earth's defense plans are totally exposed to the enemy. Only the human mind remains a secret. This is the motivation for the Wallfacer Project, a daring plan that grants four men enormous resources to design secret strategies, hidden through deceit and misdirection from Earth and Trisolaris alike. Three of the Wallfacers are influential statesmen and scientists, but the fourth is a total unknown. Luo Ji, an unambitious Chinese astronomer and sociologist, is baffled by his new status. All he knows is that he's the one Wallfacer that Trisolaris wants dead. The Three-Body Problem Series The Three-Body Problem The Dark Forest Death's End Other Books by Cixin Liu Ball Lightning Supernova Era To Hold Up the Sky The Wandering Earth A View from the Stars At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.

Space, Time and the Limits of Human Understanding

Author : Shyam Wuppuluri
Publisher : Springer
ISBN 13 : 3319444182
Total Pages : 530 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Space, Time and the Limits of Human Understanding by : Shyam Wuppuluri

Download or read book Space, Time and the Limits of Human Understanding written by Shyam Wuppuluri and published by Springer. This book was released on 2016-12-01 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this compendium of essays, some of the world’s leading thinkers discuss their conceptions of space and time, as viewed through the lens of their own discipline. With an epilogue on the limits of human understanding, this volume hosts contributions from six or more diverse fields. It presumes only rudimentary background knowledge on the part of the reader. Time and again, through the prism of intellect, humans have tried to diffract reality into various distinct, yet seamless, atomic, yet holistic, independent, yet interrelated disciplines and have attempted to study it contextually. Philosophers debate the paradoxes, or engage in meditations, dialogues and reflections on the content and nature of space and time. Physicists, too, have been trying to mold space and time to fit their notions concerning micro- and macro-worlds. Mathematicians focus on the abstract aspects of space, time and measurement. While cognitive scientists ponder over the perceptual and experiential facets of our consciousness of space and time, computer scientists theoretically and practically try to optimize the space-time complexities in storing and retrieving data/information. The list is never-ending. Linguists, logicians, artists, evolutionary biologists, geographers etc., all are trying to weave a web of understanding around the same duo. However, our endeavour into a world of such endless imagination is restrained by intellectual dilemmas such as: Can humans comprehend everything? Are there any limits? Can finite thought fathom infinity? We have sought far and wide among the best minds to furnish articles that provide an overview of the above topics. We hope that, through this journey, a symphony of patterns and tapestry of intuitions will emerge, providing the reader with insights into the questions: What is Space? What is Time? Chapter [15] of this book is available open access under a CC BY 4.0 license.

The Unobservable Universe

Author : Scott M. Tyson
Publisher : Galaxia Way
ISBN 13 : 0983243816
Total Pages : 332 pages
Book Rating : 4.9/5 (832 download)

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Book Synopsis The Unobservable Universe by : Scott M. Tyson

Download or read book The Unobservable Universe written by Scott M. Tyson and published by Galaxia Way. This book was released on 2011-04 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Embark on an incredible 2,500-year "magical mystery tour" to the frontiers of the universe and all its mysteries with visionary scientist and engineer Tyson, who deconstructs long-held scientific philosophies to systematically unravel the inconsistencies and builds a new paradigm to illuminate the underlying Theory of Everything with a simple, cohesive framework.