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  • 1
    Electronic Resource
    Electronic Resource
    The foundations of relativity (1981)
    Springer
    Foundations of physics 11 (1981), S. 77-101 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In a previous paper a stochastic foundation was proposed for microphysics: the nonrelativistic and relativistic domains were shown to be connected with two different approximations of diffusion theory; the relativistic features (Lorentz contraction for the coordinate standard deviation, covariant diffusion equation) were not derived from the relativistic formalism introduced at the start, but emerged from diffusion theory itself. In the present paper these results are given a new presentation, which aims at elucidating not the foundations of quantum mechanics, but those of relativity. This leads to a discussion of points still controversial in the interpretation of relativity. In particular two problems appear in a new light: the character of time and length alterations, and the privileged role of the velocityc. Besides, the question of a possible limitation of relativity (and more generally of the laws of mechanics) in the domain of particle substructure is raised and supported by exemples drawn from the hydrodynamical model of a spinned particle. Suggestions are presented for the possibility of a deeper conceptual unification of special and general relativity.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00715197
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    A stochastic basis for microphysics (1979)
    Springer
    Foundations of physics 9 (1979), S. 163-191 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The guiding idea of this work is that classical diffusion theory, being nonrelativistic, should be associated with nonrelativistic quantum mechanics. A study of classical diffusion leads to a generalization which should correspond to the relativistic domain. Actually, with a convenient choice of the basic constants, one sees the relativistic features (Lorentz contraction and covariant diffusion equation) emerge in the generalized process. This leads first to a derivation of the nonrelativistic and relativistic wave equations (and to a model of the Dirac fluid); then to a better understanding of several relativistic aspects of quantum mechanics (spin connection with relativity and link of relativity with nonlocalization). No quantum mechanical forces are postulated: they arise as pseudo-forces in the course of the calculations. The physical significance of the stochastic model is examined and shown to give a pictorial description only in certain ideal situations, but to remove several conceptual difficulties. Remarks are presented on the role of idealization in microphysics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00715178
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Stochastic foundation for microphysics. A critical analysis (1981)
    Springer
    Foundations of physics 11 (1981), S. 699-720 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The stochastic scheme proposed in a previous paper as subjacent to quantum mechanics is analyzed in the light of the difficulties and criticisms encountered by similar attempts. It is shown that the limitation of the domain where the theory is valid gives a reply to the criticisms, but restricts its practical usefulness to the description of basic features. A stochastic approach of the hadron mass spectrum, allowing the scheme to emerge in the domain of experimental verification (to be worked out in a later paper) is outlined. The model is found not to be in disagreement with Bell's argument opposed to hidden variables; a same origin is suggested for the difficulties encountered in both domains. The views proposed are compared with the Copenhagen interpretation: common points and divergences are analyzed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00726945
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  • 4
    Electronic Resource
    Electronic Resource
    A stochastic approach to the hadron spectrum. I (1986)
    Springer
    Foundations of physics 16 (1986), S. 1021-1060 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In this paper the squared mass of the hadron is defined as a random variable, whose average is the measured quantity. This leads to a mass formula, of a unique type for mesons and baryons, with a general law for the spin variation of the coefficients. The central squared masses form an overall geometrical scheme; in the baryon case it contains trajectories which are a fine structure of the Regge trajectories. For the accurately measured masses the difference between the computed and experimental value lies within 5 MeV for mesons and baryons. The geometrical scheme will be the basis for the computation of the decay rates, to be developed in the next paper.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01892939
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  • 5
    Electronic Resource
    Electronic Resource
    A stochastic approach to the hadron spectrum. II (1986)
    Springer
    Foundations of physics 16 (1986), S. 1159-1210 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The definition of mass as a random variable is applied to the study of the decay rates. A decay is assumed possible when the fluctuation of the Gaussian variables involved makes a definite relation satisfied. Computing the probability of this process leads to the determination of the decay amplitude. This calculation, unified for baryons and mesons, is worked out in the lower and medium spectrum (up to2000 MeV for baryons and mesons), and fits to≈20 MeV the accurate measurements of width and branching ratios.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00761287
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  • 6
    Electronic Resource
    Electronic Resource
    A stochastic approach to the hadron spectrum. III (1986)
    Springer
    Foundations of physics 16 (1986), S. 1315-1328 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The connection with the quarks of the stochastic model proposed in the two preceding papers is studied; the slopes of the baryon trajectories are calculated with reference to the quarks. Suggestions are made for the interpretation of the model (quadratic or linear addition of the contributions to the mass, dependence of the decay on the quantum numbers of the hadrons involved, etc.) and concerning its link with the quarkonium model, which describes the mesons with charm or beauty. The controversial question of the “subquantum level” is examined.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00732124
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    Paper (German National Licenses)
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  • 7
    Electronic Resource
    Electronic Resource
    A model for the Schrödinger zitterbewegung and the plane monochromatic wave (1981)
    Springer
    Foundations of physics 11 (1981), S. 863-872 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The stochastic approach worked out in earlier papers is applied to the Dirac fluid. It gives a model of the Schrödinger zitterbewegung, from which, by the spinor-vector correspondence, a model of the plane monochromatic wave in the rest frame is derived. The relation of the scheme with quantization is found to have the same character as in the previous papers. The link of spin with relativity is explained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00727103
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    Paper (German National Licenses)
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