17 found
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  1. Quantum Theory Without Measurement or State Reduction Problems.Alan Macdonald - manuscript
    There is a consistent and simple interpretation of the quantum theory of isolated systems. 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.
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  2.  94
    Comment On: “The Role of Dynamics in the Synchronization Problem”, by Hans C. Ohanian.Alan Macdonald - 2005 - American Journal of Physics 73 (2).
    Hans C. Ohanian 1 claims to “defeat” the conventionalist thesis of clock synchronization using an argument based on dynamics. My aim here is to show that his argument does not succeed.
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  3. Entanglement, Joint Measurement, and State Reduction.Alan Macdonald - 2003 - International Journal of Theoretical Physics 42:943-953.
    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.
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  4. Comment on "Resolution of the Einstein-Podolsky-Rosen and Bell Paradoxes".Alan Macdonald - 1982 - Physical Review Letters 49.
  5. Universal One-Way Light Speed From a Universal Light Speed Over Closed Paths.Ettore Minguzzi & Alan Macdonald - 2003 - Foundations Of Physics Letters 16:593-604.
    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 (...)
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  6. Clock Synchronization, a Universal Light Speed, and the Terrestrial Redshift Experiment.Alan Macdonald - 1983 - American Journal of Pyysics 51:795-797.
    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.
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  7. The Conceptual Role of 'Temperature'in Statistical Mechanics: Or How Probabilistic Averages Maximize Predictive Accuracy.Malcolm R. Forster, I. A. Kieseppä, Dan Hausman, Alexei Krioukov, Stephen Leeds, Alan Macdonald & Larry Shapiro - forthcoming - Philosophy of Science.
     
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  8. A Survey of Geometric Algebra and Geometric Calculus.Alan Macdonald - 2017 - Advances in Applied Clifford Algebras 27:853-891.
    The paper is an introduction to geometric algebra and geometric calculus for those with a knowledge of undergraduate mathematics. No knowledge of physics is required. The section Further Study lists many papers available on the web.
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  9. Einstein's Hole Argument.Alan Macdonald - 2001 - American Journal of Physics 69:223-225.
    In general relativity, a spacetime and a gravitational field form an indivisible unit: no field, no spacetime. This is a lesson of Einstein's hole argument. We use a simple transformation in a Schwartzschild pacetime to illustrate this.
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  10.  34
    Linear and Geometric Algebra.Alan Macdonald - 2012 - North Charleston, SC: CreateSpace.
    This textbook for the second year undergraduate linear algebra course presents a unified treatment of linear algebra and geometric algebra, while covering most of the usual linear algebra topics. -/- Geometric algebra and its extension to geometric calculus simplify, unify, and generalize vast areas of mathematics that involve geometric ideas. Geometric algebra is an extension of linear algebra. The treatment of many linear algebra topics is enhanced by geometric algebra, for example, determinants and orthogonal transformations. And geometric algebra does much (...)
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  11. On the Marzke-Wheeler and Desloge Constructions.Alan Macdonald - 1992 - Foundations Of Physics Letters 3:493.
    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.
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  12.  79
    Spooky Action at a Distance: The Puzzle of Entanglement in Quantum Theory.Alan Macdonald - manuscript
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  13. Special and General Relativity Based on the Physical Meaning of the Spacetime Interval.Alan Macdonald - manuscript
    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.
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  14.  58
    The Price Equation.Alan Macdonald - manuscript
    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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  15.  12
    Vector and Geometric Calculus.Alan Macdonald - 2012 - North Charleston, SC: CreateSpace.
    This textbook for the undergraduate vector calculus course presents a unified treatment of vector and geometric calculus. It is a sequel to my Linear and Geometric Algebra. That text is a prerequisite for this one. -/- Linear algebra and vector calculus have provided the basic vocabulary of mathematics in dimensions greater than one for the past one hundred years. Just as geometric algebra generalizes linear algebra in powerful ways, geometric calculus generalizes vector calculus in powerful ways.
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  16. List of Contents: Volume 16, Number 6, December 2003.Ettore Minguzzi, Alan Macdonald & Universal One-Way Light Speed - 2004 - Foundations of Physics 34 (3).
    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 (...)
     
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  17.  25
    The Impact of Representation on the Efficacy of Artificial Intelligence: The Case of Genetic Algorithms. [REVIEW]Robert Zimmer, Robert Holte & Alan MacDonald - 1997 - AI and Society 11 (1-2):76-87.
    This paper is about representations for Artificial Intelligence systems. All of the results described in it involve engineering the representation to make AI systems more effective. The main AI techniques studied here are varieties of search: path-finding in graphs, and probablilistic searching via simulated annealing and genetic algorithms. The main results are empirical findings about the granularity of representation in implementations of genetic algorithms. We conclude by proposing a new algorithm, called “Long-Term Evolution,” which is a genetic algorithm running on (...)
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