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Author: Bernard H. Lavenda Publisher: World Scientific ISBN: 9814340480 Category : Science Languages : en Pages : 695
Book Description
Starting off from noneuclidean geometries, apart from the method of Einstein's equations, this book derives and describes the phenomena of gravitation and diffraction. A historical account is presented, exposing the missing link in Einstein's construction of the theory of general relativity: the uniformly rotating disc, together with his failure to realize, that the Beltrami metric of hyperbolic geometry with constant curvature describes exactly the uniform acceleration observed. This book also explores these questions: * How does time bend? * Why should gravity propagate at the speed of light? * How does the expansion function of the universe relate to the absolute constant of the noneuclidean geometries? * Why was the Sagnac effect ignored? * Can Maxwell's equations accommodate mass? * Is there an inertia due solely to polarization? * Can objects expand in elliptic geometry like they contract in hyperbolic geometry?
Author: Bernard H. Lavenda Publisher: World Scientific ISBN: 9814340480 Category : Science Languages : en Pages : 695
Book Description
Starting off from noneuclidean geometries, apart from the method of Einstein's equations, this book derives and describes the phenomena of gravitation and diffraction. A historical account is presented, exposing the missing link in Einstein's construction of the theory of general relativity: the uniformly rotating disc, together with his failure to realize, that the Beltrami metric of hyperbolic geometry with constant curvature describes exactly the uniform acceleration observed. This book also explores these questions: * How does time bend? * Why should gravity propagate at the speed of light? * How does the expansion function of the universe relate to the absolute constant of the noneuclidean geometries? * Why was the Sagnac effect ignored? * Can Maxwell's equations accommodate mass? * Is there an inertia due solely to polarization? * Can objects expand in elliptic geometry like they contract in hyperbolic geometry?
Author: Stan Gibilisco Publisher: Courier Corporation ISBN: 9780486266596 Category : Science Languages : en Pages : 228
Book Description
Clear, concise exposition of both the special and general theories of relativity, intended for nonscientific readers with a knowledge of high school math. Topics include simultaneity, time dilation, length contraction, the possibility of travel to a distant star, non-Euclidean geometries, black holes, and the structure of the universe. 158 illustrations.
Author: Bernard H. Lavenda Publisher: World Scientific ISBN: 9814340499 Category : Science Languages : en Pages : 695
Book Description
9. Nonequivalence of gravitation and acceleration. 9.1. The uniformly rotating disc in Einstein's development of general relativity. 9.2. The Sagnac effect. 9.3. Generalizations of the Sagnac effect. 9.4. The principle of equivalence. 9.5. Fermat's principle of least time and hyperbolic geometry. The rotating disc. 9.7. The FitzGerald-Lorentz contraction via the triangle defect. 9.8. Hyperbolic nature of the electromagnetic field and the Poincare stress. 9.9. The Terrell-Weinstein effect and the angle of parallelism. 9.10. Hyperbolic geometries with non-constant curvature. 9.11. Cosmological models -- 10. Aberration and radiation pressure in the Klein and Poincare models. 10.1. Angular defect and its relation to aberration and Thomas precession. 10.2. From the Klein to the Poincare model. 10.3. Aberration versus radiation pressure on a moving mirror. 10.4. Electromagnetic radiation pressure. 10.5. Angle of parallelism and the vanishing of the radiation pressure. 10.6. Transverse Doppler shifts as experimental evidence for the angle of parallelism -- 11. The inertia of polarization. 11.1. Polarization and relativity. 11.2. Stokes parameters and their physical interpretations. 11.3. Poincare's representation and spherical geometry. 11.4. Polarization of mass. 11.5. Mass in Maxwell's theory and beyond. 11.6. Relativistic stokes parameters
Author: Wolfgang Pauli Publisher: Franklin Classics Trade Press ISBN: 9780353284166 Category : History Languages : en Pages : 84
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.
Author: Jong-Ping Hsu Publisher: World Scientific ISBN: 9812566511 Category : Science Languages : en Pages : 538
Book Description
A Broader View of Relativity shows that there is still new life in old physics. The book examines the historical context and theoretical underpinnings of Einstein's theory of special relativity and describes Broad Relativity, a generalized theory of coordinate transformations between inertial reference frames that includes Einstein's special relativity as a special case. It shows how the principle of relativity is compatible with multiple concepts of physical time and these different procedures for clock synchronization can be useful for thinking about different physical problems, including many-body systems and the development of a Lorentz-invariant thermodynamics. Broad relativity also provides new answers to old questions such as the necessity of postulating the constancy of the speed of light and the viability of Reichenbach's general concept of time. The book also draws on the idea of limiting-four-dimensional symmetry to describe coordinate transformations and the physics of particles and fields in non-inertial frames, particularly those with constant linear accelerations. This new edition expands the discussion on the role that human conventions and unit systems have played in the historical development of relativity theories and includes new results on the implications of broad relativity for clarifying the status of constants that are truly fundamental and inherent properties of our universe. Contents: Special Relativity is NOT Incorrect!; Space, Time, and Inertial Frames; The Novel Creation of the Young Einstein; Experimental Tests; Group Properties; Common Relativity and Quantum Mechanics; Extended Relativity; Dynamics of Classical and Quantum Particles; Group and Lie Algebra Properties of Accelerated Transformation of Spacetime; Graphic Representations of the Geometry of Spacetime in Accelerated Frames; Two Rocketships with Constant-Linear Acceleration; On a Gauge Theory of Gravity with Translation Gauge Symmetry in Inertial and Non-Inertial Frames; Appendices: Technical Aspects of Extended Relativity; Coordinate Transformations for Rotating Frames; and other papers. Key Features Includes five new chapters A complete and comprehensive description of Broad Relativity, which generalizes Einstein's original theory of special relativity to new physical time systems and a limited class of non-inertial frames Brings a fresh viewpoint with new physical implications and predictions to old physics Gives an updated discussion on fundamental physical constants and unit systems and their influence on the development of relativity theories Readership: Researchers in the field of relativity theory and advanced undergraduate students as a supplementary text.
Author: Hanoch Gutfreund Publisher: Princeton University Press ISBN: 0691175810 Category : Science Languages : en Pages : 257
Book Description
An annotated facsimile edition of Einstein's handwritten manuscript on the foundations of general relativity This richly annotated facsimile edition of "The Foundation of General Relativity" introduces a new generation of readers to Albert Einstein's theory of gravitation. Written in 1915, this remarkable document is a watershed in the history of physics and an enduring testament to the elegance and precision of Einstein's thought. Presented here is a beautiful facsimile of Einstein's original handwritten manuscript, along with its English translation and an insightful page-by-page commentary that places the work in historical and scientific context. Hanoch Gutfreund and Jürgen Renn's concise introduction traces Einstein's intellectual odyssey from special to general relativity, and their essay "The Charm of a Manuscript" provides a delightful meditation on the varied afterlife of Einstein's text. Featuring a foreword by John Stachel, this handsome edition also includes a biographical glossary of the figures discussed in the book, a comprehensive bibliography, suggestions for further reading, and numerous photos and illustrations throughout.
Author: Harvey R. Brown Publisher: Clarendon Press ISBN: 0191534706 Category : Science Languages : en Pages : 240
Book Description
Physical Relativity explores the nature of the distinction at the heart of Einstein's 1905 formulation of his special theory of relativity: that between kinematics and dynamics. Einstein himself became increasingly uncomfortable with this distinction, and with the limitations of what he called the 'principle theory' approach inspired by the logic of thermodynamics. A handful of physicists and philosophers have over the last century likewise expressed doubts about Einstein's treatment of the relativistic behaviour of rigid bodies and clocks in motion in the kinematical part of his great paper, and suggested that the dynamical understanding of length contraction and time dilation intimated by the immediate precursors of Einstein is more fundamental. Harvey Brown both examines and extends these arguments (which support a more 'constructive' approach to relativistic effects in Einstein's terminology), after giving a careful analysis of key features of the pre-history of relativity theory. He argues furthermore that the geometrization of the theory by Minkowski in 1908 brought illumination, but not a causal explanation of relativistic effects. Finally, Brown tries to show that the dynamical interpretation of special relativity defended in the book is consistent with the role this theory must play as a limiting case of Einstein's 1915 theory of gravity: the general theory of relativity. Appearing in the centennial year of Einstein's celebrated paper on special relativity, Physical Relativity is an unusual, critical examination of the way Einstein formulated his theory. It also examines in detail certain specific historical and conceptual issues that have long given rise to debate in both special and general relativity theory, such as the conventionality of simultaneity, the principle of general covariance, and the consistency or otherwise of the special theory with quantum mechanics. Harvey Brown' s new interpretation of relativity theory will interest anyone working on these central topics in modern physics.
Author: Pedro G. Ferreira Publisher: HMH ISBN: 0547554907 Category : Science Languages : en Pages : 309
Book Description
“One of the best popular accounts of how Einstein and his followers have been trying to explain the universe for decades” (Kirkus Reviews, starred review). Physicists have been exploring, debating, and questioning the general theory of relativity ever since Albert Einstein first presented it in 1915. This has driven their work to unveil the universe’s surprising secrets even further, and many believe more wonders remain hidden within the theory’s tangle of equations, waiting to be exposed. In this sweeping narrative of science and culture, an astrophysicist brings general relativity to life through the story of the brilliant physicists, mathematicians, and astronomers who have taken up its challenge. For these scientists, the theory has been both a treasure trove and an enigma. Einstein’s theory, which explains the relationships among gravity, space, and time, is possibly the most perfect intellectual achievement of modern physics—yet studying it has always been a controversial endeavor. Relativists were the target of persecution in Hitler’s Germany, hounded in Stalin’s Russia, and disdained in 1950s America. Even today, PhD students are warned that specializing in general relativity will make them unemployable. Still, general relativity has flourished, delivering key insights into our understanding of the origin of time and the evolution of all the stars and galaxies in the cosmos. Its adherents have revealed what lies at the farthest reaches of the universe, shed light on the smallest scales of existence, and explained how the fabric of reality emerges. Dark matter, dark energy, black holes, and string theory are all progeny of Einstein’s theory. In the midst of a momentous transformation in modern physics, as scientists look farther and more clearly into space than ever before, The Perfect Theory exposes the greater relevance of general relativity, showing us where it started, where it has led—and where it can still take us.
Author: Bruce Bassett Publisher: Icon Books Ltd ISBN: 1848317700 Category : Science Languages : en Pages : 259
Book Description
A superlative, fascinating graphic account of Albert Einstein's strange world and how his legacy has been built upon since. It is now more than a century since Einstein's theories of Special and General Relativity began to revolutionise our view of the universe. Beginning near the speed of light and proceeding to explorations of space-time and curved spaces, Introducing Relativity plots a visually accessible course through the thought experiments that have given shape to contemporary physics. Scientists from Isaac Newton to Stephen Hawking add their unique contributions to this story, as we encounter Einstein's astounding vision of gravity as the curvature of space-time and arrive at the breathtakingly beautiful field equations. Einstein's legacy is reviewed in the most advanced frontiers of physics today - black holes, gravitational waves, the accelerating universe and string theory.
Author: Nicole Valentine Publisher: Carolrhoda Books ® ISBN: 1541564472 Category : Juvenile Fiction Languages : en Pages : 309
Book Description
He believes in science, but only magic can help his mom. Twelve-year-old Finn is used to people in his family disappearing. His twin sister, Faith, drowned when they were three years old. A few months ago, his mom abandoned him and his dad with no explanation. Finn clings to the concrete facts in his physics books—and to his best friend, Gabi—to ward off his sadness. But then his grandmother tells him a secret: the women in their family are Travelers, able to move back and forth in time. Finn's mom is trapped somewhere in the timeline, and she's left Finn a portal to find her. But to succeed, he'll have to put his trust in something bigger than logic. "This is an incredible book, no matter which time universe you're in. I couldn't put it down. One of my favorite debut novels of the year."—Erin Entrada Kelly, New York Times bestselling author and 2018 Newbery Medal winner
Author: Bernard H. Lavenda
Author: Bernard H. Lavenda
Author: Stan Gibilisco
Author: Bernard H. Lavenda
Author: Wolfgang Pauli
Author: Jong-Ping Hsu
Author: Hanoch Gutfreund
Author: Harvey R. Brown
Author: Pedro G. Ferreira
Author: Bruce Bassett
Author: Nicole Valentine