The final chapter focuses on the application of geometric algebra to problems of the quantization of gravity. By covering the powerful methodology of applying geometric algebra to all branches of physics, this book provides a pioneering text for undergraduate and graduate students as well as a useful reference for researchers in the field. Enter your Postcode or Suburb to view availability and delivery times. See Terms for more information. Contact 07 online qbd. The RRP set by overseas publishers may vary to those set by local publishers due to exchange rates and shipping costs.
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Geometric Algebra (Clifford Algebra)
Abstract: This paper gives two complete and elementary proofs that if the speed of light over closed paths has a universal value c , then it is possible to synchronize clocks in such a way that the one-way speed of light is c. The first proof is an elementary version of a recent proof.
The second provides high precision experimental evidence that it is possible to synchronize clocks in such a way that the one-way speed of light has a universal value. We also discuss an old incomplete proof by Weyl which is important from an historical perspective.
Abstract: In general relativity, spacetime is inseparable from a gravitational field: no field, no spacetime. This is a lesson of Einstein's hole argument.source site
Clifford Algebra and its contributions to physics | Physics Forums
We use a simple transformation in a Schwartzschild spacetime to illustrate this. Abstract: There is no indication of time dilation of clocks or of length contraction of rods in Marzke and Wheeler's clock or in Desloge's metrosphere. Abstract: We outline a simple development of special and general relativity based on the physical meaning of the spacetime interval. The Lorentz transformation is not used. The approach is suitable for beginning students.
After all one is dealing with a local problem, that means a local inertial Lorentz frame, that means just what you say: 'The metric postulate of general relativity rests on 1 - 3 , and not the strong equivalence principle. Abstract: Entanglement has been called the most important new feature of the quantum world. It is expressed in the quantum formalism by the joint measurement formula. We prove the formula for projection valued observables from a plausible assumption, which for spacelike separated measurements is an expression of relativistic causality.
The state reduction formula is simply a way to express the joint measurement formula after one measurement has been made, and its result known. Abstract: There is a consistent and simple interpretation of the quantum theory of isolated systems.
Clifford (Geometric) Algebras: with applications to physics, mathematics, and engineering
The interpretation suffers no measurement problem and provides a quantum explanation of state reduction, which is usually postulated. Quantum entanglement plays an essential role in the construction of the interpretation. Abstract: Magnetic work takes two forms in the thermodynamics of a paramagnet as developed in many textbooks. This shows that there are thermodynamic systems with no fundamental thermodynamic equation.
Abstract: A new statement of the second law of thermodynamics is given. Entropy is given a clear physical meaning.
History of Geometric Algebra
Abstract: We give a simple proof of Stokes' theorem on a manifold assuming only that the exterior derivative is Lebesgue integrable. The proof uses the integral definition of the exterior derivative and a generalized Riemann integral. Posed: 84 , Solved: 85 , I give concise derivations of Price's equation and the criteria for kin and group selection, prove that kin and group selection are equivalent, and discuss the controversies about altruism.
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Interview Professor Ahmad Eid, publisher of Geometric Algebra Explorer , asked me for my thoughts about geometric algebra and its place in undergraduate education. Somewhat improved. A page book on general relativity 75 pages in the main text. From the preface : "My purpose here is to provide, with a minimum of mathematical machinery and in the fewest possible pages, a clear and careful explanation of the physical principles and applications of classical general relativity. With Ettore Minguzzi.
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Much improved version of Am. Abstract: This paper i gives necessary and sufficient conditions that clocks in an inertial lattice can be synchronized, ii shows that these conditions do not imply a universal light speed, and iii shows that the terrestrial redshift experiment provides evidence that clocks in a small inertial lattice in a gravitational field can be synchronized. Improved version with new title of Am.