New Perspective On Relativity A An Odyssey In Non Euclidean Geometries
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A New Perspective On Relativity
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Author : Bernard H. Lavenda
language : en
Publisher: World Scientific
Release Date : 2012
A New Perspective On Relativity written by Bernard H. Lavenda and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Science categories.
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
Beyond General Relativity Critical Perspectives On Gravitation Curvature And Wave Propagation In Modern Physics
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Author : Bernard Lavenda
language : en
Publisher: Deep Science Publishing
Release Date : 2025-05-26
Beyond General Relativity Critical Perspectives On Gravitation Curvature And Wave Propagation In Modern Physics written by Bernard Lavenda and has been published by Deep Science Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-26 with Science categories.
What happens when you push a theory beyond its limits? You get a theory like general relativity. Although coined by Einstein, he would be hard pressed to recognize it. Einstein constructed a theory that would pertain to geodesic motion, or motion at constant velocity. Einstein field equations are equivalent to geometrical optics whose characteristic surfaces are those of electromagnetic, and not gravitational, radiation. In fact, gravitational energy is not included in the Einstein energy-stress tensor. As such it excludes catastrophic phenomena like the merger of black holes or neutron stars. In fact, black holes are what you get when you extend a non-Euclidean metric, like the Schwarzschild metric, beyond its domain of validity. Although there exists no solution to Einstein's field equations for two interacting mass points, its numerical counterpart vants at being able to describe binary black hole collisions. Such singularities were pernicious to Einstein's conception of the universe, and he built bridges to avoid them. Nonlinear equations like Einstein's cannot be approximated by their linearization over large portions of spacetime thus placing in doubt the propagation of gravitational waves. Any wave phenomenon traveling at a finite velocity must show signs of aberration. No signs of such have ever been observed. The field equations do not possess a mechanism for the emission of gravitational waves, least of all for their attenuation.
Where Physics Went Wrong
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Author : Bernard H Lavenda
language : en
Publisher: World Scientific
Release Date : 2015-02-02
Where Physics Went Wrong written by Bernard H Lavenda and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-02 with Science categories.
The book points out what has gone wrong with physics since Einstein's formulation of this theory of general relativity a century ago. It points out inconsistencies and fallacies in the standard model of the big bang and the inflationary scenario which was supposed to have overcome those shortcomings, the evolution of string theory from a theory of the strong interaction to a theory of gravitation and quantum mechanics which has not produced a single verifiable prediction, and what it has accomplished is reaffirming wrong results like the entropy of a black hole, which is not an entropy at all. There have even been attempts to demote gravity to an emergent phenomenon with catastrophic effects. We know exactly what happened at 10-34 seconds after the big bang, but do not know how fast gravity propagates, whether gravitational waves exist, and what are the limits of Newton's law. Attempts to rectify this are the prediction of dark energy/matter, which has never been observed nor ever will, and MOND. The latter is really not a modification of Newtonian mechanics, but a transformation of a dynamical law into a statistical one.
Gravitational Optics In Curved Spacetimes Contrasting Newtonian And Relativistic Perspectives
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Author : Bernard Lavenda
language : en
Publisher: Deep Science Publishing
Release Date : 2025-05-26
Gravitational Optics In Curved Spacetimes Contrasting Newtonian And Relativistic Perspectives written by Bernard Lavenda and has been published by Deep Science Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-26 with Science categories.
This book offers a critical appraisal of where we stand on a formulation of a theory of gravitation. Newtonian theory is reformulated in the general form of conics and their relation to aberrancy. Conics are to planetary orbits what Cassini ovals are to binaries. The transition from a Bernoulli lemniscate to Cassini ovals is discussed in terms the instability criteria of Roche lobes, and their fission. When the second derivative of the curve is no longer constant, the Newton inverse law does not apply and new central forces appear which can be derived from the radius of aberrancy, just as the inverse-square law follows from the radius of curvature. The logarithmic spiral becomes periodic in velocity space, and a new Hubble law appears between acceleration and velocity. This has the effect of decreasing the decay rate of accelerations so that they can explain the flat rotational curvatures oberserved in spiral galaxies. Numerical relativity has reduced its conception of general relativity to a Le Sage- type theory thereby making it refutable.
The Concept Of Time In Early Twentieth Century Philosophy
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Author : Flavia Santoianni
language : en
Publisher: Springer
Release Date : 2015-11-26
The Concept Of Time In Early Twentieth Century Philosophy written by Flavia Santoianni and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-26 with Education categories.
This book presents a collection of authoritative contributions on the concept of time in early twentieth-century philosophy. It is structured in the form of a thematic atlas: each section is accompanied by relevant elementary logic maps that reproduce in a “spatial” form the directionalities (arguments and/or discourses) reported on in the text. The book is divided into three main sections, the first of which covers phenomenology and the perception of time by analyzing the works of Bergson, Husserl, Sartre, Merleau-Ponty, Deleuze, Guattari and Derrida. The second section focuses on the language and conceptualization of time, examining the works of Cassirer, Wittgenstein, Heidegger, Lacan, Ricoeur and Foucault, while the last section addresses the science and logic of time as they appear in the works of Guillaume, Einstein, Reichenbach, Prigogine and Barbour. The purpose of the book is threefold: to provide readers with a comprehensive overview of the concept of time in early twentieth-century philosophy; to show how conceptual reasoning can be supported by accompanying linguistic and spatial representations; and to stimulate novel research in the humanistic field concerning the complex role of graphic representations in the comprehension of concepts.
Scale Transitions As Foundations Of Physics
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Author : Ioan Merches
language : en
Publisher: World Scientific
Release Date : 2021-02-04
Scale Transitions As Foundations Of Physics written by Ioan Merches and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-04 with Science categories.
The scale transitions are essential to physical knowledge. The book describes the history of essential moments of physics, viewed as necessary consequences of the unavoidable process of scale transition, and provides the mathematical techniques for the construction of a theoretical physics founded on scale transition. The indispensable mathematical technique is analyticity, helping in the construction of space coordinate systems. The indispensable theoretical technique from physical point of view is the affine theory of surfaces. The connection between the two techniques is provided by a duality in defining the physical properties.
The Great Beyond
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Author : Paul Halpern
language : en
Publisher: Turner Publishing Company
Release Date : 2008-04-21
The Great Beyond written by Paul Halpern and has been published by Turner Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-21 with Science categories.
The concept of multiple unperceived dimensions in the universe is one of the hottest topics in contemporary physics. It is essential to current attempts to explain gravity and the underlying structure of the universe. The Great Beyond begins with Einstein’s famous quarrel with Heisenberg and Bohr, whose theories of uncertainty threatened the order Einstein believed was essential to the universe, and it was his rejection of uncertainty that drove him to ponder the existence of a fifth dimension. Beginning with this famous disagreement and culminating with an explanation of the newest "brane" approach, author Paul Halpern shows how current debates about the nature of reality began as age-old controversies, and addresses how the possibility of higher dimensions has influenced culture over the past one hundred years.
Einstein From B To Z
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Author : John Stachel
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-12-10
Einstein From B To Z written by John Stachel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-10 with Science categories.
John Stachel, the author of this collection of 37 published and unpublished articles on Albert Einstein, has written about Einstein and his work for over 40 years. Trained as a theoretical physicist specializing in the theory of relativity, he was chosen as the founding editor of The Collected papers of Albert Einstein 25 years ago, and is currently Director of the Boston University Center for Einstein Studies. Based on a detailed study of documentary evidence, much of which was newly discovered in the course of his work, Stachel debunks many of the old (and some new) myths about Einstein and offers novel insight into his life and work. Throughout the volume, a new, more human picture of Einstein is offered to replace the plaster saint of popular legend. In particular, a youthful Einstein emerges from the obscurity that previously shrouded his early years, and much new light is shed on the origins of the special and general theories of relativity. Also discussed in some detail are Einstein's troubled relationship with his first wife, his friendships with other physicists such as Eddington, Bose, and Pauli, and his Jewish identity. The essays are grouped thematically into the following areas: * The Human Side * Editing the Einstein Papers * Surveys of Einstein's Work * Special Relativity * General Relativity * Quantum Theory * Einstein and Other Scientists * Book Reviews Because the essays are independent of one another, readers will be able to dip into this collection to satisfy varying interests. It will be of particular interest to historians of 20th century science, working physicists, and students, as well as to the many members of the general reading public who continue to be fascinated by aspects of Einstein's life and work.
Arts Humanities Citation Index
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Author :
language : en
Publisher:
Release Date : 1986
Arts Humanities Citation Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Arts categories.
A multidisciplinary index covering the journal literature of the arts and humanities. It fully covers 1,144 of the world's leading arts and humanities journals, and it indexes individually selected, relevant items from over 6,800 major science and social science journals.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 1998
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.