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  • 1
    Online Resource
    Online Resource
    Elsevier BV ; 1985
    In:  Physics Letters A Vol. 111, No. 1-2 ( 1985-8), p. 29-32
    In: Physics Letters A, Elsevier BV, Vol. 111, No. 1-2 ( 1985-8), p. 29-32
    Type of Medium: Online Resource
    ISSN: 0375-9601
    RVK:
    Language: English
    Publisher: Elsevier BV
    Publication Date: 1985
    detail.hit.zdb_id: 1466603-0
    detail.hit.zdb_id: 208865-4
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  • 2
    Online Resource
    Online Resource
    Springer Science and Business Media LLC ; 1989
    In:  International Journal of Theoretical Physics Vol. 28, No. 9 ( 1989-9), p. 927-933
    In: International Journal of Theoretical Physics, Springer Science and Business Media LLC, Vol. 28, No. 9 ( 1989-9), p. 927-933
    Type of Medium: Online Resource
    ISSN: 0020-7748 , 1572-9575
    Language: English
    Publisher: Springer Science and Business Media LLC
    Publication Date: 1989
    detail.hit.zdb_id: 2016168-2
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  • 3
    Online Resource
    Online Resource
    Springer Science and Business Media LLC ; 1989
    In:  General Relativity and Gravitation Vol. 21, No. 8 ( 1989-8), p. 767-776
    In: General Relativity and Gravitation, Springer Science and Business Media LLC, Vol. 21, No. 8 ( 1989-8), p. 767-776
    Type of Medium: Online Resource
    ISSN: 0001-7701 , 1572-9532
    Language: English
    Publisher: Springer Science and Business Media LLC
    Publication Date: 1989
    detail.hit.zdb_id: 2015524-4
    SSG: 16,12
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  • 4
    Online Resource
    Online Resource
    Springer Science and Business Media LLC ; 1986
    In:  Foundations of Physics Vol. 16, No. 5 ( 1986-5), p. 437-443
    In: Foundations of Physics, Springer Science and Business Media LLC, Vol. 16, No. 5 ( 1986-5), p. 437-443
    Type of Medium: Online Resource
    ISSN: 0015-9018 , 1572-9516
    Language: English
    Publisher: Springer Science and Business Media LLC
    Publication Date: 1986
    detail.hit.zdb_id: 1470577-1
    SSG: 11
    SSG: 12
    SSG: 5,21
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  • 5
    Online Resource
    Online Resource
    Proceedings of the National Academy of Sciences ; 1986
    In:  Proceedings of the National Academy of Sciences Vol. 83, No. 16 ( 1986-08), p. 5756-5760
    In: Proceedings of the National Academy of Sciences, Proceedings of the National Academy of Sciences, Vol. 83, No. 16 ( 1986-08), p. 5756-5760
    Abstract: A canonical procedure transforming the unitary evolution group U t in a contracting semigroup W t for phase-space ensembles has been developed for Kolmogorov dynamical systems in a series of recent papers. This paper investigates the physical meaning of this transformation. We stress that, for sufficiently unstable dynamical systems in which phase-space points are identified with an arbitrary but finite precision, one must take into account the undiscernibility of trajectories having the same asymptotic behavior in the future. The fundamental objects of our description are thus bundles of converging trajectories. We show that such an ensemble, corresponding to initial conditions whose support has finite measure, is then represented by a distribution function (called a Boltzmann ensemble) that evolves to equilibrium under the action of a markovian semigroup. The usual Gibbs-Koopman ensembles satisfying the Liouville equation are recovered as a singular limit. This work validates Boltzmann's intuition for a class of unstable dynamical systems and appears as a step toward the derivation of equations exhibiting irreversibility at a microscopic level.
    Type of Medium: Online Resource
    ISSN: 0027-8424 , 1091-6490
    RVK:
    RVK:
    Language: English
    Publisher: Proceedings of the National Academy of Sciences
    Publication Date: 1986
    detail.hit.zdb_id: 209104-5
    detail.hit.zdb_id: 1461794-8
    SSG: 11
    SSG: 12
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  • 6
    Online Resource
    Online Resource
    Proceedings of the National Academy of Sciences ; 1986
    In:  Proceedings of the National Academy of Sciences Vol. 83, No. 17 ( 1986-09), p. 6245-6249
    In: Proceedings of the National Academy of Sciences, Proceedings of the National Academy of Sciences, Vol. 83, No. 17 ( 1986-09), p. 6245-6249
    Abstract: The role of irreversible processes corresponding to creation of matter in general relativity is investigated. The use of Landau-Lifshitz pseudotensors together with conformal (Minkowski) coordinates suggests that this creation took place in the early universe at the stage of the variation of the conformal factor. The entropy production in this creation process is calculated. It is shown that these dissipative processes lead to the possibility of cosmological models that start from empty conditions and gradually build up matter and entropy. Gravitational entropy takes a simple meaning as associated to the entropy that is necessary to produce matter. This leads to an extension of the third law of thermodynamics, as now the zero point of entropy becomes the space-time structure out of which matter is generated. The theory can be put into a convenient form using a supplementary “C” field in Einstein's field equations. The role of the C field is to express the coupling between gravitation and matter leading to irreversible entropy production.
    Type of Medium: Online Resource
    ISSN: 0027-8424 , 1091-6490
    RVK:
    RVK:
    Language: English
    Publisher: Proceedings of the National Academy of Sciences
    Publication Date: 1986
    detail.hit.zdb_id: 209104-5
    detail.hit.zdb_id: 1461794-8
    SSG: 11
    SSG: 12
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  • 7
    Online Resource
    Online Resource
    Walter de Gruyter GmbH ; 1989
    In:  Zeitschrift für Physikalische Chemie Vol. 270O, No. 1 ( 1989-7-1), p. 477-490
    In: Zeitschrift für Physikalische Chemie, Walter de Gruyter GmbH, Vol. 270O, No. 1 ( 1989-7-1), p. 477-490
    Type of Medium: Online Resource
    ISSN: 2196-7156 , 0942-9352
    RVK:
    Language: English
    Publisher: Walter de Gruyter GmbH
    Publication Date: 1989
    detail.hit.zdb_id: 201103-7
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  • 8
    Online Resource
    Online Resource
    Elsevier BV ; 1987
    In:  Journal of Theoretical Biology Vol. 128, No. 2 ( 1987-9), p. 135-157
    In: Journal of Theoretical Biology, Elsevier BV, Vol. 128, No. 2 ( 1987-9), p. 135-157
    Type of Medium: Online Resource
    ISSN: 0022-5193
    Language: English
    Publisher: Elsevier BV
    Publication Date: 1987
    detail.hit.zdb_id: 1470953-3
    SSG: 12
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  • 9
    Online Resource
    Online Resource
    Proceedings of the National Academy of Sciences ; 1988
    In:  Proceedings of the National Academy of Sciences Vol. 85, No. 20 ( 1988-10), p. 7428-7432
    In: Proceedings of the National Academy of Sciences, Proceedings of the National Academy of Sciences, Vol. 85, No. 20 ( 1988-10), p. 7428-7432
    Abstract: A type of cosmological history that includes large-scale entropy production is proposed. These cosmologies are based on reinterpretation of the matter-energy stress tensor in Einstein's equations. This modifies the usual adiabatic energy conservation laws, thereby including irreversible matter creation. This creation corresponds to an irreversible energy flow from the gravitational field to the created matter constituents. This point of view results from consideration of the thermodynamics of open systems in the framework of cosmology. It is shown that the second law of thermodynamics requires that space-time transforms into matter, while the inverse transformation is forbidden. It appears that the usual initial singularity associated with the big bang is structurally unstable with respect to irreversible matter creation. The corresponding cosmological history therefore starts from an instability of the vacuum rather than from a singularity. This is exemplified in the framework of a simple phenomenological model that leads to a three-stage cosmology: the first drives the cosmological system from the initial instability to a de Sitter regime, and the last connects with the usual matter-radiation Robertson-Walker universe. Matter as well as entropy creation occurs during the first two stages, while the third involves the traditional cosmological evolution. A remarkable fact is that the de Sitter stage appears to be an attractor independent of the initial fluctuation. This is also the case for all the physical predictions involving the present Robertson-Walker universe. Most results obtained previously, in the framework of quantum field theory, can now be obtained on a macroscopic basis. It is shown that this description leads quite naturally to the introduction of primeval black holes as the intermediate stage between the Minkowski vacuum and the present matter-radiation universe. The instability at the origin of the universe is the result of fluctuations of the vacuum in which black holes act as membranes that stabilize these fluctuations. In short, black holes will be produced by and “inverse” Hawking radiation process and, once formed, will decompose into “real” matter through the usual Hawking radiation. In this way, the irreversible transformation of space-time into matter can be described as a phase separation between matter and gravitation in which black holes play the role of “critical nuclei.”
    Type of Medium: Online Resource
    ISSN: 0027-8424 , 1091-6490
    RVK:
    RVK:
    Language: English
    Publisher: Proceedings of the National Academy of Sciences
    Publication Date: 1988
    detail.hit.zdb_id: 209104-5
    detail.hit.zdb_id: 1461794-8
    SSG: 11
    SSG: 12
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  • 10
    Online Resource
    Online Resource
    SAGE Publications ; 1985
    In:  Environment and Planning B: Planning and Design Vol. 12, No. 1 ( 1985), p. 5-20
    In: Environment and Planning B: Planning and Design, SAGE Publications, Vol. 12, No. 1 ( 1985), p. 5-20
    Type of Medium: Online Resource
    ISSN: 0265-8135 , 1472-3417
    Language: English
    Publisher: SAGE Publications
    Publication Date: 1985
    detail.hit.zdb_id: 2039719-7
    detail.hit.zdb_id: 199345-8
    detail.hit.zdb_id: 2879402-3
    SSG: 3,4
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