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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

Null Geodesics, Raychaudhuri Equation, Trapped Surfaces, and Penrose Singularity Theorem

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Journal of High Energy Physics, Gravitation and Cosmology 2022年第3期8卷 536-557页

作者： miguel socolovsky Instituto de Ciencias Nucleares Universidad Nacional Autónoma de México Cd. Universitaria Ciudad de México México

We review the concept of congruence of null geodesics, the Raychaudhuri equation for the expansion, its harmonic oscillator version and associated “quantum” propagator, the role of the equation in the derivation of ... 详细信息

关键词： Null Geodesics Trapped Surfaces Singularity Theorem

Kerr-Newman Black Holes and Negative Temperatures

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Journal of High Energy Physics, Gravitation and Cosmology 2022年第4期8卷 940-947页

作者： miguel socolovsky Instituto de Ciencias Nucleares Universidad Nacional Autónoma de México Ciudad de México México

The application of the Unruh procedure to the Rindler approximation of the Kerr-Newman metric in the neighborhood of the event and Cauchy horizons leads, unambiguously, to the well-known positive Hawking (black hole) temperature at the outer horizon, but to a negative (white hole) temperature at the inner horizon. Some consequences for the heat capacities and the status of the third law of thermodynamics are also discussed.

关键词： Kerr-Newman Metric Cauchy Horizon Negative Temperature

Hidden Quantum Effect in General Relativity

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Journal of High Energy Physics, Gravitation and Cosmology 2023年第4期9卷 913-916页

作者： miguel socolovsky Instituto de Ciencias Nucleares Universidad Nacional Autonoma de Mexico Cd. Universitaria Ciudad de M&eacutexico M&eacutexico

If the Planck length is chosen as the natural length scale of the Universe, the Penrose-Carter diagram associated with the classical gravitational collapse of a thin spherical shell of massless matter reveals, beyond ... 详细信息

关键词： Spherical Collapse Penrose-Carter Diagram Quantum Effect

Conformally Compactified Minkowski Spacetime and Planck Constant

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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