The Quantum Memory Matrix: A Unified Framework for the Black Hole Information Paradox
We present the Quantum Memory Matrix (QMM) hypothesis, which addresses the longstanding Black Hole Information Paradox rooted in the apparent conflict between Quantum Mechanics (QM) and General Relativity (GR). This paradox raises the question of how information is preserved during black hole format...
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MDPI AG
2024-11-01
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| author | Florian Neukart Reuben Brasher Eike Marx |
| author_facet | Florian Neukart Reuben Brasher Eike Marx |
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| description | We present the Quantum Memory Matrix (QMM) hypothesis, which addresses the longstanding Black Hole Information Paradox rooted in the apparent conflict between Quantum Mechanics (QM) and General Relativity (GR). This paradox raises the question of how information is preserved during black hole formation and evaporation, given that Hawking radiation appears to result in information loss, challenging unitarity in quantum mechanics. The QMM hypothesis proposes that space–time itself acts as a dynamic quantum information reservoir, with quantum imprints encoding information about quantum states and interactions directly into the fabric of space–time at the Planck scale. By defining a quantized model of space–time and mechanisms for information encoding and retrieval, QMM aims to conserve information in a manner consistent with unitarity during black hole processes. We develop a mathematical framework that includes space–time quantization, definitions of quantum imprints, and interactions that modify quantum state evolution within this structure. Explicit expressions for the interaction Hamiltonians are provided, demonstrating unitarity preservation in the combined system of quantum fields and the QMM. This hypothesis is compared with existing theories, including the holographic principle, black hole complementarity, and loop quantum gravity, noting its distinctions and examining its limitations. Finally, we discuss observable implications of QMM, suggesting pathways for experimental evaluation, such as potential deviations from thermality in Hawking radiation and their effects on gravitational wave signals. The QMM hypothesis aims to provide a pathway towards resolving the Black Hole Information Paradox while contributing to broader discussions in quantum gravity and cosmology. |
| format | Article |
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| institution | Kabale University |
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| publishDate | 2024-11-01 |
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| spelling | doaj-art-b5606c98d38e49babfa86a915a4329a52024-12-27T14:25:00ZengMDPI AGEntropy1099-43002024-11-012612103910.3390/e26121039The Quantum Memory Matrix: A Unified Framework for the Black Hole Information ParadoxFlorian Neukart0Reuben Brasher1Eike Marx2Leiden Institute of Advanced Computer Science, Leiden University, Gorlaeus Gebouw-BE-Vleugel, Einsteinweg 55, 2333 Leiden, The NetherlandsTerra Quantum AG, Kornhausstrasse 25, 9000 St. Gallen, SwitzerlandTerra Quantum AG, Kornhausstrasse 25, 9000 St. Gallen, SwitzerlandWe present the Quantum Memory Matrix (QMM) hypothesis, which addresses the longstanding Black Hole Information Paradox rooted in the apparent conflict between Quantum Mechanics (QM) and General Relativity (GR). This paradox raises the question of how information is preserved during black hole formation and evaporation, given that Hawking radiation appears to result in information loss, challenging unitarity in quantum mechanics. The QMM hypothesis proposes that space–time itself acts as a dynamic quantum information reservoir, with quantum imprints encoding information about quantum states and interactions directly into the fabric of space–time at the Planck scale. By defining a quantized model of space–time and mechanisms for information encoding and retrieval, QMM aims to conserve information in a manner consistent with unitarity during black hole processes. We develop a mathematical framework that includes space–time quantization, definitions of quantum imprints, and interactions that modify quantum state evolution within this structure. Explicit expressions for the interaction Hamiltonians are provided, demonstrating unitarity preservation in the combined system of quantum fields and the QMM. This hypothesis is compared with existing theories, including the holographic principle, black hole complementarity, and loop quantum gravity, noting its distinctions and examining its limitations. Finally, we discuss observable implications of QMM, suggesting pathways for experimental evaluation, such as potential deviations from thermality in Hawking radiation and their effects on gravitational wave signals. The QMM hypothesis aims to provide a pathway towards resolving the Black Hole Information Paradox while contributing to broader discussions in quantum gravity and cosmology.https://www.mdpi.com/1099-4300/26/12/1039quantum mechanicsgeneral relativityblack hole information paradoxquantum informationspace–time quantizationquantum gravity |
| spellingShingle | Florian Neukart Reuben Brasher Eike Marx The Quantum Memory Matrix: A Unified Framework for the Black Hole Information Paradox Entropy quantum mechanics general relativity black hole information paradox quantum information space–time quantization quantum gravity |
| title | The Quantum Memory Matrix: A Unified Framework for the Black Hole Information Paradox |
| title_full | The Quantum Memory Matrix: A Unified Framework for the Black Hole Information Paradox |
| title_fullStr | The Quantum Memory Matrix: A Unified Framework for the Black Hole Information Paradox |
| title_full_unstemmed | The Quantum Memory Matrix: A Unified Framework for the Black Hole Information Paradox |
| title_short | The Quantum Memory Matrix: A Unified Framework for the Black Hole Information Paradox |
| title_sort | quantum memory matrix a unified framework for the black hole information paradox |
| topic | quantum mechanics general relativity black hole information paradox quantum information space–time quantization quantum gravity |
| url | https://www.mdpi.com/1099-4300/26/12/1039 |
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