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Conformally Compactified Minkowski Spacetime and Planck Constant

Journal of High Energy Physics, Gravitation and Cosmology 2023年第4期9卷 1062-1066页

作者： Miguel Socolovsky Instituto de Ciencias Nucleares Universidad Nacional Aut&oacutenoma de M&eacutexico Cd. Universitaria Ciudad de Mexico Mexico

If the geometrical system of units c = G 1 and the Planck length as a natural length scale are used in the construction of the Penrose space (diagram) corresponding to Minkowski spacetime, the presence of the Planck constant ħin the Penrose dimensionless time (ζ) and radial (ρ) coordinates is unavoidable. This fact suggests that there could be a deep and still unknown relation between the spacetime of special relativity and quantum mechanics.

关键词： Minkowski Spacetime Quantum Mechanics

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Black Holes and the Third Law of Thermodynamics Revisited

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Journal of High Energy Physics, Gravitation and Cosmology 2023年第2期9卷 499-505页

作者： Miguel Socolovsky Instituto de Ciencias Nucleares Universidad Nacional Aut&oacutenoma de M&eacutexico Ciudad de M&eacutexico M&eacutexico

Black holes contradict the Nernst-Planck (N/P) version of the 3rd law of thermodynamics, but agree with its unattainability (U) version. This happens without contradiction, because the N/P and U versions are not equivalent, namely, N/P implies U but U does not imply N/P. So, black holes obey the weaker version of the 3rd law, but not the stronger one.

关键词： Thermodynamics Third Law Black Holes

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Generalized Invertibility of Operators through Spectral Sets

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Advances in Linear Algebra & Matrix Theory 2023年第2期13卷 21-35页

作者： E. Salgado-Matias S. V. Djordjević G. Kantún-Montiel Facultad de Ciencias Fí sico Matem&aacuteticas Benem&eacuterita Universidad Aut&oacutenoma de Puebla Puebla Mexico

If an operator is not invertible, we are interested if there is a subspace such that the reduction of the operator to that subspace is invertible. In this paper we give a spectral approach to generalized inverses considering the subspace determined by the range of the spectral projection associated with an operator and a spectral set containing the point 0. We compare the cases, 0 is a simple pole of the resolvent function, 0 is a pole of order n of the resolvent function, 0 is an isolated point of the spectrum, and 0 is contained in a circularly isolated spectral set.

关键词： Generalized Inverse Matrix Form Resolvent Function Spectral Projection

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Subcutaneous Model for the Study of Dengue Virus Infection in Immune Competent Mice

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Journal of Biosciences and Medicines 2018年第5期6卷 97-110页

作者： Beatriz Senra Santos Natalia Lima Pessoa Natalia Lucinda Gustavo Cardoso de Oliveira Thais Souza Silva Ketyllen Reis Andrade Ketyllen Reis Andrade Bruno Galvã o Filho Marcele Neves Rocha Alexandre Vieira Machado Pedro Augusto Alves É rica Alessandra Rocha Alves Erna Geessien Kroon Marco Antô nio Campos Instituto René Rachou Funda&amp amp ccedil & amp atilde o Oswaldo Cruz Fiocruz Belo Horizonte Brazil Departamento de Microbiologia Universidade Federal de Minas Gerais Belo Horizonte Brazil Empresa Brasileira de Pesquisa Agropecuá ria Laborat&amp amp oacute rio de Virologia Brasilia Brazil

Various mouse models to study dengue have been described by different authors, some of them using immunodeficient or some using humanized mice. Our group reported previously a deadly murine model, which used the intracranial inoculum of highly virulent Dengue virus (DENV) in immune competent mouse. Here we present a model of immune competent mouse (C57BL/6), infected subcutaneously by the same highly virulent DENV (DENV3 genotype I). In this immunocompetent systemic mice model, the cytokine levels and hematological parameters such as total and differential leukocyte and platelets counts, together with weight loss, were considered important monitoring parameters, allowing a better understanding of the systemic human disease. Mice were inoculated subcutaneously and evaluated by the percentage weight variation as well as the clinical signs. Hematological parameters and cytokines levels were measured and viral titration in brain tissue or serum neutralization was performed to confirm mice infection. The subcutaneously DENV inoculated mice showed weight loss after infection, but they did not show any other clinical signs. The leukocytes and platelets decreased after subcutaneous inoculation. The cytokines TNF alpha and IFN gamma increased after infection in mice. The subcutaneous model provided scope for improved understanding of the dengue pathogenesis, as well as possible mechanism for protection to subsequent mouse infected by intracranial route in mice. This model could be used to study the vertebrate immune response and evaluation of drugs or vaccine against dengue virus.

关键词： Subcutaneous Murine Model Dengue Disease Immune Competent Mouse Cytokines Innate Immune Response

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