12 found
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  1. Nonlocality in Relativistic Dynamics.John R. Fanchi - 2001 - Foundations of Physics 31 (9):1267-1285.
    Recent experiments have renewed interest in nonlocal interpretations of quantum mechanics. The experimental observation of the violation of Bell's inequalities implies the existence of nonlocality. Bohm expressed the nonlocal connection between quantum particles through the wave function and the quantum potential. This paper shows that a similar connection exists in a relativistic dynamical theory known as parametrized relativistic quantum theory (PRQT). We present an introduction to PRQT, derive the quantum potential for a system of relativistic scalar particles, and discuss alternative (...)
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  2.  19
    Manifestly Covariant Quantum Theory with Invariant Evolution Parameter in Relativistic Dynamics.John R. Fanchi - 2011 - Foundations of Physics 41 (1):4-32.
    Manifestly covariant quantum theory with invariant evolution parameter is a parametrized relativistic dynamical theory. The study of parameterized relativistic dynamics (PRD) helps us understand the consequences of changing key assumptions of quantum field theory (QFT). QFT has been very successful at explaining physical observations and is the basis of the conventional paradigm, which includes the Standard Model of electroweak and strong interactions. Despite its record of success, some phenomena are anomalies that may require a modification of the Standard Model. The (...)
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  3.  71
    Relativistic Dynamical Theory of Particle Decay and Application to K-Mesons.John R. Fanchi - 2003 - Foundations of Physics 33 (8):1189-1205.
    The theoretical description of particle decay by a single particle theory requires the use of a probability density in time that is not present in conventional theories. The problem of single particle decay is consistently described here within the context of a single particle, relativistic dynamical theory. We derive experimentally testable differences between the standard model and Relativistic Dynamics for a two-state system: the neutral K-meson (K 0) system. We show that the estimate of mass difference between the two states (...)
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    Foreword: Changing Times.John R. Fanchi - 1998 - Foundations of Physics 28 (9):1401-1405.
  5.  44
    Quantum Potential in Relativistic Dynamics.John R. Fanchi - 2000 - Foundations of Physics 30 (8):1161-1189.
    The experimental confirmation of nonlocality has renewed interest in Bohm's quantum potential. The construction of quantum potentials for relativistic systems has encountered difficulties which do not arise in a parametrized formulation of relativistic quantum mechanics known as Relativistic Dynamics. The purpose of this paper is to show how to construct a quantum potential in the relativistic domain by deriving a relativistically invariant quantum potential using Relativistic Dynamics. The formalism is applied to three relativistic scalar particle models: a single particle interacting (...)
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  6.  24
    Quantum Mechanics of Relativistic Spinless Particles.John R. Fanchi & R. Eugene Collins - 1978 - Foundations of Physics 8 (11-12):851-877.
    A relativistic one-particle, quantum theory for spin-zero particles is constructed uponL 2(x, ct), resulting in a positive definite spacetime probability density. A generalized Schrödinger equation having a Hermitian HamiltonianH onL 2(x, ct) for an arbitrary four-vector potential is derived. In this formalism the rest mass is an observable and a scalar particle is described by a wave packet that is a superposition of mass states. The requirements of macroscopic causality are shown to be satisfied by the most probable trajectory of (...)
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  7.  10
    Evaluating the Validity of Parametrized Relativistic Wave Equations.John R. Fanchi - 1994 - Foundations of Physics 24 (4):543-562.
    We wish to determine the correct partial differential equation(s) for describing a relativistic particle. A physical foundation is presented for using a parametrized wave equation with the general form $$i\frac{{\partial \psi }}{{\partial s}} = K\psi$$ where s is the invariant evolution parameter. Several forms have been proposed for the generator K of evolution parameter translations. Of the proposed generators, only the generator K 2 which is proportional to the inner product P μ P μ of fourmomentum operators can be derived (...)
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  8.  12
    Relativistic Many-Body Systems: Evolution-Parameter Formalism. [REVIEW]John R. Fanchi & Weldon J. Wilson - 1983 - Foundations of Physics 13 (6):571-605.
    The complexity of the field theoretic methods used for analyzing relativistic bound state problems has forced researchers to look for simpler computational methods. Simpler methods such as the relativistic harmonic oscillator method employed in the description of extended hadrons have been investigated. They are considered phenomenological, however, because they lack a theoretical basis. A probabilistic basis for these methods is presented here in terms of the four-space formulation of relativistic quantum mechanics (FSF). The single-particle FSF is reviewed and its physical (...)
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  9.  19
    The Mass Operator and Neutrino Oscillations.John R. Fanchi - 1998 - Foundations of Physics 28 (10):1521-1528.
    Recent work in parametrized relativistic quantum theory (PRQT) has shown that oscillations between mass states are predicted by an alternative formulation of relativistic quantum theory that uses an invariant evolution parameter. A PRQT model of flavor transitions is compared to the standard model. The resulting PRQT expression for the probability of survival of an incident neutrino differs significantly from the standard neutrino oscillation model. Neutrino oscillation measurements provide an experimental testing ground for two theories that are based on fundamentally different (...)
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  10.  9
    Resolution of the Klein Paradox for Spin-1/2 Particles.John R. Fanchi - 1981 - Foundations of Physics 11 (5-6):493-498.
    The problem of a relativistic spin-1/2 particle scattering from a step potential is solved within the theoretical framework of relativistic dynamics. This treatment avoids the Klein paradox. An experiment for testing the theory is suggested.
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  11. Energy Forecast Technologies.John R. Fanchi - 2012 - In Jan Kyrre Berg Olsen Friis, Stig Andur Pedersen & Vincent F. Hendricks (eds.), A Companion to the Philosophy of Technology. Wiley-Blackwell.
     
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  12. Energy, Technology and Geopolitics.John R. Fanchi - 2012 - In Jan Kyrre Berg Olsen Friis, Stig Andur Pedersen & Vincent F. Hendricks (eds.), A Companion to the Philosophy of Technology. Wiley-Blackwell.