Cosmology


Book Description

Thoroughly revised and updated introduction to past and present cosmological theory.




Kinematic Relativity


Book Description




Foundations of Special Relativity: Kinematic Axioms for Minkowski Space-Time


Book Description

The aim of this monograph is to give an axiomatic development of Einstein's theory of special relativity from axioms which describe intuitive concepts concerning the kinematic behavior of inertial particles and light signals.




Kinematic Relativity


Book Description




Kinematic Relativity; a Sequel to Relativity, Gravitation and World Structure


Book Description

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.




Relativity


Book Description

Relativity: The Theory and its Philosophy provides a completely self-contained treatment of the philosophical foundations of the theory of relativity. It also surveys the most essential mathematical techniques and concepts that are indispensable to an understanding of the foundations of both the special and general theories of relativity. In short, the book includes a crash course in applied mathematics, ranging from elementary trigonometry to the classical tensor calculus. Comprised of 11 chapters, this book begins with an introduction to fundamental mathematical concepts such as sets, relations, and functions; N-tuples, vectors, and matrices; and vector algebra and calculus. The discussion then turns to the concept of relativity and elementary foundations of Newtonian mechanics, as well as the principle of special relativity and its philosophical interpretation by means of empiricism and rationalism. Subsequent chapters focus on the status of the doctrine of conventionalism in the theory of special relativity; the commensurability of classical and relativistic mechanics; mathematical foundations of special relativistic physics; and the classical or Newtonian theory of gravitation. The principle of general covariance and its relation to the principle of general relativity are also examined. The final chapter addresses the fundamental question as to the actual information concerning the structure of spacetime that is conveyed to us through the theory of general relativity. This monograph will be of interest to students, teachers, practitioners, and researchers in physics, mathematics, and philosophy.




Kinematics


Book Description

The field of kinematics—the science of motion—has long been neglected and misrepresented. Despite rich traditions rooted in ancient times, modern physical kinematics never became a professional discipline. No journals or academic societies were founded to support its development and study and most physicists took the science of motion for granted. Yet some came to doubt its very principles, even denouncing its basic language—coordinate algebra—as an impediment to scientific progress. In this unique and comprehensive history of kinematics, Alberto A. Martínez rescues the forgotten roots of this field that led to Einstein's theory of special relativity. Using clear explanations and accessible language, he analyzes the development of kinematics; explains how mathematics, engineering, philosophy, and psychology pulled it in divergent directions; and discusses why modern kinematics inherited old and unresolved ambiguities. All students of physics and general science study basic kinematics. Martínez draws from an unparalleled wealth of sources to demonstrate why it is essential to the study and evolution of physics today.




Relativistic Kinematics


Book Description

Lorentz transformations and invariants -- Choice of a system of units -- Some practical examples for the use of invariants -- The Lorentz transformation to the rest system of an arbitrary particle -- The transformation of differential cross sections; Jacobian determinants -- Variables and coordinate systems frequently used in elastic scattering -- Phase-space considerations -- Short considerations on relativistic notation -- Precession of a polarization of spin 1/2 particles moving in an electromagnetic field.




Non-Standard Relativity


Book Description

"Current physics and cosmology have left us with a confusion of empirically-derived models which do not yet combine into a coherent structure and which are most often ad hoc. Wegener is surely right in believing that the only way to tackle this problem is to go back to the foundations, and he has used skills acquired in many different disciplines to show us that a coherent solution is now within our grasp. I thoroughly enjoyed reading his book." Peter Rowlands, Physics Department, University of Liverpool.




Relativity for Scientists and Engineers


Book Description

An ideal choice for undergraduate students of science and engineering, this book presents a thorough exploration of the basic concepts of relativity. The treatment provides more than the typical coverage of introductory texts, and it offers maximum flexibility since many sections may be used independently, in altered order, or omitted altogether. Numerous problems — most with hints and answers — make this volume ideal for supplementary reading and self-study. Nearly 300 diagrams illuminate the three-part treatment, which examines special relativity in terms of kinematics and introductory dynamics as well as general relativity. Specific topics include the speed of light, the relative character of simultaneity, the Lorentz transformation, the conservation of momentum and energy, nuclei and fundamental particles, the principle of equivalence and curved space-time, Einstein's equations, and many other topics.