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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Scalar-tensor theories are discussed as encompassing three classical long-range fields, including the electromagnetic field. In order to shed additional light on the restrictive assumptions made by Dicke concerning the coupling of the scalar field with matter, the ponderomotive laws of a scalar-tensor theory are constructed free of approximations in the form of integral laws. The integrals are extended over two- and three-dimensional domains that lie entirely in empty space but surround the regions containing matter; as for the latter, the vacuum field equations are not required to hold, but no further assumptions are made. It turns out that the gradient of the incident scalar field will contribute to the rate of change of the mass and linear momentum of a ‘particle’ an amount proportional to that particle's scalar-field source strength, which in turn is an arbitrary function of time, unless Dicke's special restriction is imposed. To this extent the motion of a test particle is indeterminate, contrary to experience.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A representation system developed by Smullyan is discussed briefly. Additional notation is introduced to make it suitable for problems concerned with physical systems. Rules for the formation of a concatenation operation called the product, are introduced.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The principles of regular (invariable or stochastic) conjunction, of retarded action, determination, and causality, are stated exactly and analyzed. To this end, the concepts of system, property, state, and event, as well as those of conjunction (of events and of properties) are first elucidated. Four types of determination are distinguished and analyzed and it is shown that only one of them qualifies as a causal nexus, the others being deterministic (in the large sense) but noncausal. The overall conclusion is that, while the principles of regular conjunction, retarded action and determination are both distinct and universal, the causal principle is just a restricted version of the principle of determinacy.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In this paper, we extend the work of Oppenheimer & Snyder (1939) who treated the zero curvature case in the gravitational collapse of spheres of dust intended to represent collapsing stars. A solution is given which is valid for all space and is characterized by negative curvature of the space within a sphere of dust. This solution is obtained by matching the negative curvature interior solution (as well as, for completeness, zero and positive curvatures interior solutions) to an exterior Schwarzschild geometry. In this solution, corresponding to the case of a Newtonian system with positive total energy, the mass as seen by an observer at infinity is found to be positive definite. Also, in each case, the positive definite massm is related to the densityν and radiusr [defined as the square root of the (surface area/4π)] of the dust cloud viam=(4π/3)pr 3. The methods employed here for matching interior and exterior solutions are applicable to the construction of cosmological models in which the sign of the curvature and/or expansion rate differ in two or more regions, e.g. a universe expanding in one region and contracting in another.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Discussion is given to the experimental facts that are associated with ‘pair annihilation’, as a real example, rather than a gedanken experiment, to illustrate the Einstein-Podolsky-Rosen paradox. It is shown how the paradox disappears in a nonlinear relativistically covariant spinor field theory of this author, which takes thesingle interaction, rather thanmany free particles, as the elementary entity. In this theory there is no actual annihilation of matter. Rather, the observed facts that are conventionally interpreted as ‘pair annihilation’ arederived from an exact solution of the nonlinear field equations for the interacting pair in a particular deeply bound state. This solution reveals the observed facts, including the energy separation of 2m from the asymptotic state where the particles can be assumed to be (almost) free, and the prediction of two distinguishable currents whose phases are correlated by a 90° difference and are polarized in a common plane that is perpendicular to the direction of propagation of interaction with a detecting apparatus. The paradox disappears essentially because of the rejection by this theory (in principle and in the exact mathematical formalism) of anyphysical description in terms of truly uncoupled partial systems.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
    Location Call Number Limitation Availability
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The quaternion formulation of relativistic quantum theory is extended to include curvilinear coordinates and curved space-time. This provides a promising framework for further exploration of a unified quantum/gravity theory.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Jordan demonstrated that the group of homogeneous transformations of degree one in ℝ5 is homomorphic to the symmetry group of the Einstein-Maxwell equations in vacuum. It is shown that the Jordan homomorphism theorem is also applicable to the inhomogeneous general linear group. Consequently, the Poincaré group is homomorphic to the group of homogeneous transformations of degree one in a five-dimensional space.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract It is shown that a coordinate system with simple coordinate conditions can be chosen such that one can explicitly see that the Schwarzschildian mass of an asymptotically Euclidian time-symmetrical system of gravitational waves is equal to zero. It is explicitly seen in the coordinate system with coordinate conditions ∂ i (−gg ik)=0 and in the set of coordinate systems with the coordinate condition ∂ i (−gg 0i )=0. In this set of coordinate systems one of the field equations can be written in the form $$ - 8\pi \surd ( - g)(T_0^0 - \tfrac{1}{2}T) = \partial _\alpha L_0^{0\alpha } $$ where $$L_i^{kn} = \tfrac{1}{2}\surd ( - g)(g^{mn} \Gamma _{im}^k - g^{km} \Gamma _{im}^k )$$ , α=1, 2, 3. From this equation it follows that $$m = 2\smallint ({\rm T}_0^0 - \tfrac{1}{2}T)\surd ( - g) dV$$ , andm=0 atT i k =0.
    Type of Medium: Electronic Resource
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