Integrated Analysis: From Classical Divergences to Quantum and Numerical Reinterpretations of Black Hole Singularities

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Main Author: Fagliari, Tiago
Format: Recurso digital
Published: Zenodo 2025
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author Fagliari, Tiago
author_facet Fagliari, Tiago
contents <p>Classical general relativity predicts the occurrence of singularities where curvature<br>invariants diverge. However, these divergences may be reinterpreted as states of ex-<br>tremely high informational density (the I state) when quantum corrections and nu-<br>merical simulations are taken into account. In this work, we provide a comprehensive<br>review that integrates classical, quantum, and numerical perspectives on black hole<br>singularities. We discuss the limitations of classical models, outline quantum gravity<br>approaches—including Loop Quantum Gravity (LQG), string theory, and asymptotic<br>safety—and correlate these with numerical simulations and observational data (such<br>as gravitational wave detections and black hole imaging). Our integrated framework,<br>illustrated through several TikZ diagrams, proposes that the conventional view of sin-<br>gularities as pathological endpoints is supplanted by an interpretation of these diver-<br>gences as reservoirs of maximal information. We also highlight future prospects and<br>open questions for interdisciplinary research.</p>
format Recurso digital
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publishDate 2025
publisher Zenodo
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spellingShingle Integrated Analysis: From Classical Divergences to Quantum and Numerical Reinterpretations of Black Hole Singularities
Fagliari, Tiago
<p>Classical general relativity predicts the occurrence of singularities where curvature<br>invariants diverge. However, these divergences may be reinterpreted as states of ex-<br>tremely high informational density (the I state) when quantum corrections and nu-<br>merical simulations are taken into account. In this work, we provide a comprehensive<br>review that integrates classical, quantum, and numerical perspectives on black hole<br>singularities. We discuss the limitations of classical models, outline quantum gravity<br>approaches—including Loop Quantum Gravity (LQG), string theory, and asymptotic<br>safety—and correlate these with numerical simulations and observational data (such<br>as gravitational wave detections and black hole imaging). Our integrated framework,<br>illustrated through several TikZ diagrams, proposes that the conventional view of sin-<br>gularities as pathological endpoints is supplanted by an interpretation of these diver-<br>gences as reservoirs of maximal information. We also highlight future prospects and<br>open questions for interdisciplinary research.</p>
title Integrated Analysis: From Classical Divergences to Quantum and Numerical Reinterpretations of Black Hole Singularities
url https://doi.org/10.5281/zenodo.15220235