Cosmological Special Relativity

Cosmological Special Relativity
Author: Moshe Carmeli
Publisher: World Scientific
Total Pages: 225
Release: 2002
Genre: Science
ISBN: 9810249365

This book presents Einstein's theory of space and time in detail, and describes the large-scale structure of space, time and velocity as a new cosmological special relativity. A cosmological Lorentz-like transformation, which relates events at different cosmic times, is derived and applied. A new law of addition of cosmic times is obtained, and the inflation of the space at the early universe is derived, both from the cosmological transformation. The relationship between cosmic velocity, acceleration and distances is given. In the appendices gravitation is added in the form of a cosmological general relativity theory and a five-dimensional unified theory of space, time and velocity. This book is of interest to cosmologists, astrophysicists, theoretical physicists, mathematical physicists and mathematicians.

Cosmological Special Relativity: Structure Of Space, Time And Velocity

Cosmological Special Relativity: Structure Of Space, Time And Velocity
Author: Moshe Carmeli
Publisher: World Scientific
Total Pages: 131
Release: 1997-09-15
Genre: Science
ISBN: 9814497614

This book deals with special relativity theory and its application to cosmology. It presents Einstein's theory of space and time in detail, and describes the large scale structure of space, time and velocity as a new cosmological special relativity. A cosmological Lorentz-like transformation, which relates events at different cosmic times, is derived and applied. A new law of addition of cosmic times is obtained, and the inflation of the space at the early universe is derived, both from the cosmological transformation. The book will be of interest to cosmologists, astrophysicists, theoretical physicists, mathematical physicists and mathematicians.

Spacetime and Geometry

Spacetime and Geometry
Author: Sean M. Carroll
Publisher: Cambridge University Press
Total Pages: 529
Release: 2019-08-08
Genre: Science
ISBN: 1108488390

An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications.

The Large Scale Structure of Space-Time

The Large Scale Structure of Space-Time
Author: S. W. Hawking
Publisher: Cambridge University Press
Total Pages: 406
Release: 1975-02-27
Genre: Science
ISBN: 1139810952

Einstein's General Theory of Relativity leads to two remarkable predictions: first, that the ultimate destiny of many massive stars is to undergo gravitational collapse and to disappear from view, leaving behind a 'black hole' in space; and secondly, that there will exist singularities in space-time itself. These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.

Cosmological Special Relativity - The Large-scale Structure Of Space, Time And Velocity (2nd Edition)

Cosmological Special Relativity - The Large-scale Structure Of Space, Time And Velocity (2nd Edition)
Author: Moshe Carmeli
Publisher: World Scientific
Total Pages: 225
Release: 2002-03-28
Genre: Science
ISBN: 9814488674

This book presents Einstein's theory of space and time in detail, and describes the large-scale structure of space, time and velocity as a new cosmological special relativity. A cosmological Lorentz-like transformation, which relates events at different cosmic times, is derived and applied. A new law of addition of cosmic times is obtained, and the inflation of the space at the early universe is derived, both from the cosmological transformation. The relationship between cosmic velocity, acceleration and distances is given. In the appendices gravitation is added in the form of a cosmological general relativity theory and a five-dimensional unified theory of space, time and velocity. This book is of interest to cosmologists, astrophysicists, theoretical physicists, mathematical physicists and mathematicians.

The Little Book of Time

The Little Book of Time
Author: Klaus Mainzer
Publisher: Springer Science & Business Media
Total Pages: 186
Release: 2013-03-14
Genre: Science
ISBN: 1475743327

Time is fundamental to our experience, but remains mysterious. This book shows how philosophers and scientists have tried to grapple with this most extraordinary of ordinary phenomena. From the attempts of early astronomers to reconcile solar and lunar and terrestrial reckonings, to the huge expansions and contractions of time consciousness brought on by scientists as diverse as Newton, Darwin, and Einstein, this book shows how time is as much a matter of human choice as it is a matter of scientific precision.

Relativity

Relativity
Author: Moshe Carmeli
Publisher: World Scientific
Total Pages: 551
Release: 2008
Genre: Science
ISBN: 9812813756

This book describes Carmeli's cosmological general and special relativity theory, along with Einstein's general and special relativity. These theories are discussed in the context of Moshe Carmeli's original research, in which velocity is introduced as an additional independent dimension. Four- and five-dimensional spaces are considered, and the five-dimensional braneworld theory is presented. The Tully-Fisher law is obtained directly from the theory, and thus it is found that there is no necessity to assume the existence of dark matter in the halo of galaxies, nor in galaxy clusters.The book gives the derivation of the Lorentz transformation, which is used in both Einstein's special relativity and Carmeli's cosmological special relativity theory. The text also provides the mathematical theory of curved space?time geometry, which is necessary to describe both Einstein's general relativity and Carmeli's cosmological general relativity. A comparison between the dynamical and kinematic aspects of the expansion of the universe is made. Comparison is also made between the Friedmann-Robertson-Walker theory and the Carmeli theory. And neither is it necessary to assume the existence of dark matter to correctly describe the expansion of the cosmos.

100 Years of Relativity

100 Years of Relativity
Author: Abhay Ashtekar
Publisher: World Scientific
Total Pages: 527
Release: 2005
Genre: Science
ISBN: 9812563946

Divided into three parts, this volume focuses on a summary of how relativity theories were born. It also discusses the ramifications of general relativity, such as black holes, space-time singularities, gravitational waves, the large scale structure of the cosmos, and more. It includes summaries of radical changes in the notions of space and time.

Relativity: Modern Large-scale Spacetime Structure Of The Cosmos

Relativity: Modern Large-scale Spacetime Structure Of The Cosmos
Author: Moshe Carmeli
Publisher: World Scientific Publishing Company
Total Pages: 551
Release: 2008-12-04
Genre: Science
ISBN: 9813107170

This book describes Carmeli's cosmological general and special relativity theory, along with Einstein's general and special relativity. These theories are discussed in the context of Moshe Carmeli's original research, in which velocity is introduced as an additional independent dimension. Four- and five-dimensional spaces are considered, and the five-dimensional braneworld theory is presented. The Tully-Fisher law is obtained directly from the theory, and thus it is found that there is no necessity to assume the existence of dark matter in the halo of galaxies, nor in galaxy clusters.The book gives the derivation of the Lorentz transformation, which is used in both Einstein's special relativity and Carmeli's cosmological special relativity theory. The text also provides the mathematical theory of curved space­time geometry, which is necessary to describe both Einstein's general relativity and Carmeli's cosmological general relativity. A comparison between the dynamical and kinematic aspects of the expansion of the universe is made. Comparison is also made between the Friedmann-Robertson-Walker theory and the Carmeli theory. And neither is it necessary to assume the existence of dark matter to correctly describe the expansion of the cosmos.

Connecting Quarks with the Cosmos

Connecting Quarks with the Cosmos
Author: National Research Council
Publisher: National Academies Press
Total Pages: 222
Release: 2003-03-12
Genre: Science
ISBN: 030917113X

Advances made by physicists in understanding matter, space, and time and by astronomers in understanding the universe as a whole have closely intertwined the question being asked about the universe at its two extremesâ€"the very large and the very small. This report identifies 11 key questions that have a good chance to be answered in the next decade. It urges that a new research strategy be created that brings to bear the techniques of both astronomy and sub-atomic physics in a cross-disciplinary way to address these questions. The report presents seven recommendations to facilitate the necessary research and development coordination. These recommendations identify key priorities for future scientific projects critical for realizing these scientific opportunities.