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- Author: Hermann Weyl
- Publisher:
- ISBN:
- Category : Relativity (Physics)
- Languages : en
- Pages : 380
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Excellent introduction probes deeply into Euclidean space, Riemann's space, Einstein's general relativity, gravitational waves and energy, and laws of conservation. "A classic of physics." — British Journal for Philosophy and Science.
Albert Einstein, together with Theodor Kaluza and Oskar Klein, realized that extra dimensions can be used to unify the different fields of physics, as well as unifying the fields with their material sources. In fact, it was Einstein's dream to transpose the “base wood” of the matter term in his field equations to the “marble” of the geometrical term. During his lifetime, this kind of unified theory achieved only partial success. But the modern approach, outlined in this bestseller, is elegant and agrees with all the classical tests. The basic idea is to unify the source and its field using the rich algebra of higher-dimensional Riemannian geometry. In other words, space, time and matter become parts of geometry.
'For those interested, the book is a good and well-written overview of the work of Wesson and his collaborators. For those with a general interest in extensions of standard physics, accessibility is strongly dependent on the reader’s technical background, though the good structure of the book and copious references (including many to work by more-mainstream physicists on related topics) make that possible for those willing to invest some time.'The Observatory MagazineThis book is a summing up of the prospects for unification between relativity and particle physics based on the extension of Einstein's theory of General Relativity to five dimensions. This subject was first established by Paul Wesson in his previous best-seller, Space-Time-Matter, and discussed from a different perspective in Five-Dimensional Physics, both published by World Scientific in 1999 and 2006 respectively. This third book brings the field up to date and details many new developments and connections to particle theory and wave mechanics in particular. It was in largely finished form at the time of Paul Wesson's untimely death in 2015, and has been completed and expanded by his former student and longtime collaborator, James Overduin.
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.
Space, Time, Matter, and Form collects ten of David Bostock's essays on themes from Aristotle's Physics, four of them published here for the first time. The first five papers look at issues raised in the first two books of the Physics, centred on notions of matter and form, and the idea of substance as what persists through change. They also range over other of Aristotle's scientific works, such as his biology and psychology and the account of change in his De Generatione et Corruptione. The volume's remaining essays examine themes in later books of the Physics, including infinity, place, time, and continuity. Bostock argues that Aristotle's views on these topics are of real interest in their own right, independent of his notions of substance, form, and matter; they also raise some pressing problems of interpretation, which these essays seek to resolve.
In principle, the elements of space and time cannot be measured. Therefore, the following question arises: How are reality and space-time related to each other? In this book, it is argued on the basis of many facts that reality is not embedded but projected onto space and time. We can never make statements about the actual reality outside (basic reality), but we can “only” form pictures of it. These are pictures of the same reality on different levels. From this point of view, the “hard” objects (matter) and the products of the mind are similar in character.
This volume deals with the fundamental concepts of space, time and matter. It presents a novel reformulation of both the special and general theory of relativity, in which time does not constitute the fourth dimension in a conventional 4-dimensional space-time. Instead, the role of time is played by the flow of a vector field on a 3-dimensional space. The standard models of de Sitter, Schwarzschild and Kerr space-times are reformulated in a purely 3-dimensional manifold. The volume also presents a theory of matter in which the fundamental particles, such as baryons and leptons, appear as a result of an interaction between left-handed and right-handed 2-component Weyl neutrinos. The Appendices contain a comprehensive treatment of classical mechanics in terms of Hamiltonian vector fields on symplectic manifolds. Graduate students of mathematical physics or theoretical physics, as well as academics, will find this volume of interest. Sample Chapter(s). Space and Time (295 KB). Contents: Relativistic Kinematics and Dynamics on 3-Manifolds; GaussOCoEinstein Equations on 3-Manifolds; The de Sitter, Schwarzschild and Kerr Space-Times; A New Solution of the Vacuum Einstein Field Equations; Weyl Neutrinos and the Photon; A Neutrino Theory of Matter; Dynamical Vector Fields of Classical Mechanics. Readership: Graduate students and researchers in mathematical physics and theoretical physics.