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Profile: Gordon N. Fleming (Pennsylvania State University)
  1. Gordon N. Fleming (2011). Observations on Unstable Quantons, Hyperplane Dependence and Quantum Fields. Studies in History and Philosophy of Science Part B 42 (2):136-147.
    There is persistent heterodoxy in the physics literature concerning the proper treatment of those quantons that are unstable against spontaneous decay. Following a brief litany of this heterodoxy, I develop some of the consequences of assuming that such quantons can exist, undecayed and isolated, at definite times and that their treatment can be carried out within a standard quantum theoretic state space. This assumption requires hyperplane dependence for the unstable quanton states and leads to clarification of some recent results concerning (...)
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  2. Gordon N. Fleming, Shirokov's Contracting Lifetimes and the Interpretation of Velocity Eigenstates for Unstable Quantons.
    This paper is concerned with the interpretation of velocity eigenstates for unstable quantons, their relationship to space-like momentum eigenstates for such quantons and the explanation of Shirokov’s contracting lifetimes for such velocity eigenstates. It is an elaboration of a portion of the authors earlier study.
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  3. Gordon N. Fleming, Correlation Coefficients and Robertson-Schroedinger Uncertainty Relations.
    Calling the quantity; 2ΔAΔB/|<[A, B]>|, with non-zero denominator, the uncertainty product ratio or UPR for the pair of observables, (A, B), it is shown that any non-zero correlation coefficient between two observables raises, above unity, the lower bound of the UPR for each member of an infinite collection of pairs of incompatible observables. Conversely, any UPR is subject to lower bounds above unity determined by each of an infinite collection of correlation coefficients. This result generalizes the well known Schroedinger strengthening (...)
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  4. Gordon N. Fleming (2007). The Evolution of Pauli's Exclusion Principle. Studies in History and Philosophy of Science Part B 38 (1):202-208.
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  5. Gordon N. Fleming (2005). Time in Quantum Mechanics. Studies in History and Philosophy of Science Part B 36 (1):181-190.
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  6. Gordon N. Fleming, Observations on Hyperplanes: II. Dynamical Variables and Localization Observables.
    This is the second of two papers responding (somewhat belatedly) to ‘recent’ commentary on various aspects of hyperplane dependence (HD) by several authors. In this paper I focus on the issues of the general need for HD dynamical variables, the identification of physically meaningful localizable properties, the basis vectors representing such properties and the relationship between the concepts of ‘localizable within’ and ‘measureable within’. The authors responded to here are de Koning, Halvorson, Clifton and Wallace. In the first paper of (...)
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  7. Gordon N. Fleming, Observations on Hyperplanes: I State Reduction and Unitary Evolution.
    This is the first of two papers responding (somewhat belatedly) to ‘recent’ commentary on various aspects of hyperplane dependence (HD) by several authors. In this paper I focus on the issues of the relations of HD to state reduction and unitary evolution. The authors who’s comments I address here are Maudlin and Myrvold. In the second paper of this set I focus on HD dynamical variables and localizable properties and measurements and address comments of de Koning, Halvorson, Clifton and (...)
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  8. Gordon N. Fleming (2000). Operation Quantum Physics. Studies in History and Philosophy of Science Part B 31 (1):117-125.
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  9. Gordon N. Fleming (2000). Reeh-Schlieder Meets Newton-Wigner. Philosophy of Science 67 (3):515.
    The Reeh-Schlieder theorem asserts the vacuum and certain other states to be spacelike superentangled relative to local fields. This motivates an inquiry into the physical status of various concepts of localization. It is argued that a covariant generalization of Newton-Wigner localization is a physically illuminating concept. When analyzed in terms of nonlocally covariant quantum fields, creating and annihilating quanta in Newton-Wigner localized states, the vacuum is seen to not possess the spacelike superentanglement that the Reeh-Schlieder theorem displays relative to local (...)
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  10. Andrew Wayne & Gordon N. Fleming (2000). Philosophy of Biology, Psychology, and Neuroscience-Conceptual Foundations of Field Theories in Physics-Reeh-Schlieder Meets Newton-Wigner. Philosophy of Science 67 (3).
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  11. Gordon N. Fleming (1995). Examining the Compatibility of Special Relativity and Quantum Theory. Studies in History and Philosophy of Science Part B 26 (3):325-331.
  12. Gordon N. Fleming (1992). The Actualization of Potentialities in Contemporary Quantum Theory. Journal of Speculative Philosophy 6 (4):259 - 276.
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  13. Gordon N. Fleming (1992). The Objectivity and Invariance of Quantum Predictions. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1992:104 - 113.
    A recent argument by Pitowsky (1991), leading to the relativity (as opposed to objectivity) of quantum predictions, is refuted. The refutation proceeds by taking into account the hyperplane dependence of the quantum predictions emerging from the three mutually space-like separated measurements, performed on an entangled state of three spin 1/2 particles, that Pitowsky considers. From this hyperplane dependence one finds that the logical step of conjoining the predictions from distinct measurements is ineffective since those predictions apply either, locally, to sets (...)
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  14. Gordon N. Fleming & Harry Bennett (1989). Hyperplane Dependence in Relativistic Quantum Mechanics. Foundations of Physics 19 (3):231-267.
    Through the explicit introduction of hyperplane dependence as a form of relativistic dynamical evolution, we construct a manifestly covariant description of a single positive energy particle interacting with any one of a large class of “moving” external potentials. In1+1 dimensions, the simplified mathematics allows us to display a number of general properties of solutions to the equations of motion for evolution on hyperplanes.
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  15. Gordon N. Fleming (1988). Lorentz Invariant State Reduction, and Localization. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1988:112 - 126.
    In this paper I will present conceptions of state reduction and particle and/or system localization which render these subjects fully compatible with the general requirements of a relativistic, i.e. Lorentz invariant, quantum theory. The approach consists of a systematic generalization of the concepts of initial data assignment at definite times, initiation and completion of measurements at definite times, and dynamical evolution as time dependence, to the concepts of initial data assignment on arbitrary space-like hyperplanes, initiation and completion of measurements (...)
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  16. Gordon N. Fleming, The Dependence of Lorentz Boost Generators on the Presence and Nature of Interactions.
    The long established but infrequently discussed dependence of Lorentz boost generators on the presence and nature of interactions is reviewed in this tutorial note. The last third of the note presents a discussion of the covariant transformation and evolution equations for the non-conserved partial generators of the inhomogeneous Lorentz group for interacting subsystems.
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  17. Gordon N. Fleming, Uses of a Quantum Master Inequality.
    An inequality in quantum mechanics, which does not appear to be well known, is derived by elementary means and shown to be quite useful. The inequality applies to 'all' operators and 'all' pairs of quantum states, including mixed states. It generalizes the rule of the orthogonality of eigenvectors for distinct eigenvalues and is shown to imply all the Robertson generalized uncertainty relations. It severely constrains the difference between probabilities obtained from 'close' quantum states and the different responses they can have (...)
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