Tunelamiento en aproximación semiclásica de la radiación Hawking para Black Shells
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El propósito de este trabajo es intentar determinar la existencia de tunelamiento cuántico en el proceso de radiación de Hawking para agujeros negros, considerando la búsqueda de un potencial proveniente de algún fenómeno de la fı́sica establecida, que proporcione una analogı́a al hipotético potencial que deberı́a estar presente en el horizonte de eventos, a través e cual las partículas tunelarían. El decaimiento alfa nuclear podrı́a ser un candidato ampliamente estudiado en las desintegraciones, ası́ como su comprensión experimental y teórica. Otra opción se refiere al proceso de conversión de pares ante un campo electromagnético en el interior del núcleo con las correspondientes probabilidades de emisión electrón positrón, que se asemeja al caso de interés.
A partir del principio holográfico es posible establecer una zona en la cual los campos cuánticos están presentes en las vecindades de un agujero negro y por lo tanto las consideraciones termodinámicas sobre la entropı́a de Bekenstein-Hawking estarı́an restringidas a esta zona en particular representada por un cascarón negro (Black Shell) sin la necesidad de conocer el interior, pues investigar qué hay en el interior de un agujero negro es una pregunta que no es posible responder con la Relatividad General.
The purpose of this work is trying to determinate the existence of quantum tunneling for the Hawking’s radiation process for black holes, considering to find a poten- tial coming from some established physics phenomena that provides an analogy with an hypothetical potential that should be on the event horizon, through which the particles would tunnel. Nuclear alpha decay could be a widely studied case on the desintegrations, for its experimental and theoretical unders- tanding. Another option refers to the pairs conversion process onto an electromagnetical field in the interior of nuclei with its probabilities of emision of electrons and positrons that resembles to the interest framework. Starting by holographic principle is possible to establish a particular zone what the quantum fields are present on the vicinity of a Black Hole and therefore, thermodynamical considerations through Bekenstein’s-Hawking entropy will be restricted to this zone in particular represented by a Black Shell, without the necessity of recognize its interior, but investigate what’s inside of a Black Hole is a question that is not possible to answer with General Relativity.
The purpose of this work is trying to determinate the existence of quantum tunneling for the Hawking’s radiation process for black holes, considering to find a poten- tial coming from some established physics phenomena that provides an analogy with an hypothetical potential that should be on the event horizon, through which the particles would tunnel. Nuclear alpha decay could be a widely studied case on the desintegrations, for its experimental and theoretical unders- tanding. Another option refers to the pairs conversion process onto an electromagnetical field in the interior of nuclei with its probabilities of emision of electrons and positrons that resembles to the interest framework. Starting by holographic principle is possible to establish a particular zone what the quantum fields are present on the vicinity of a Black Hole and therefore, thermodynamical considerations through Bekenstein’s-Hawking entropy will be restricted to this zone in particular represented by a Black Shell, without the necessity of recognize its interior, but investigate what’s inside of a Black Hole is a question that is not possible to answer with General Relativity.
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Cabezas, P. (2020) Tunelamiento en aproximación semiclásica de la radiación Hawking para Black Shells. Universidad Nacional de Colombia. Departamento de Física. Bogotá