Δ-Discrepancy Framework: A Unified Structural Model for Cosmological Singularities and Black Hole Information Recovery
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2026
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| _version_ | 1866901382497304576 |
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| author | Moon, KyungUp |
| author_facet | Moon, KyungUp |
| contents | <p>This dataset presents a unified phenomenological framework based on a structural discrepancy variable Δ, applied to two fundamental problems in theoretical physics.</p> <p>Paper A:<br>A Structural Regularization of the Cosmological Singularity.<br>The Big Bang singularity is reinterpreted as an unbounded discrepancy between classical geometry and quantum matter, leading to a non-singular bouncing cosmology.</p> <p>Paper B:<br>A Phenomenological Open-System Model of Delayed Information Release in Black Hole Evaporation.<br>The black hole information paradox is reformulated as a delayed release process governed by an entropy buffer Δ(t) and a generalized entropy gap Δ_RT(t), implemented through Lindblad dynamics.</p> <p>The framework demonstrates that both singularities and information loss can be understood as manifestations of uncontrolled structural discrepancy.</p> <p>A key falsifiable prediction is derived:<br>γ(M) ∝ M⁻³</p> <p>This work is intended as a macroscopic effective model bridging semi-classical gravity and quantum information dynamics.</p> <p> </p> <p>{Read}<br><br># Δ-Discrepancy Framework <br>## A Unified Structural Model for Cosmological Singularities and Black Hole Information Recovery</p> <p>---</p> <p>## Overview</p> <p>This repository presents a unified phenomenological framework based on a structural discrepancy variable Δ, applied to two fundamental problems in theoretical physics:</p> <p>- Paper A (Cosmology) <br> Structural regularization of the Big Bang singularity via discrepancy damping → Big Bounce</p> <p>- Paper B (Black Hole Physics) <br> Resolution of the black hole information paradox via entropy-buffered Lindblad dynamics → Delayed Information Release</p> <p>---</p> <p>## Core Principle</p> <p>> Unbounded discrepancy → physical divergence <br>> Bounded discrepancy → regular evolution</p> <p>This framework reinterprets:</p> <p>- Cosmological singularities <br>- Black hole information loss </p> <p>as manifestations of uncontrolled structural discrepancy, rather than true physical infinities or violations.</p> <p>---</p> <p>## Repository Structure</p> <p>/Paper_A_Cosmology/ - Cosmological_Singularity_Paper.pdf /Paper_B_BlackHole/ - BlackHole_Information_Paper.pdf /framework_summary.pdf /README.md /LICENSE</p> <p>---</p> <p>## Key Concepts</p> <p>- Δₖ (Cosmology): <br> Structural mismatch between spacetime geometry and quantum matter expectation</p> <p>- Δ(t) (Black Hole): <br> Hidden entanglement entropy buffer</p> <p>- Δ_RT (Order Parameter): <br> Generalized entropy gap controlling information release</p> <p>- Lindblad Dynamics: <br> Open quantum system formulation ensuring trace preservation and positivity</p> <p>---</p> <p>## Main Contributions</p> <p>1. Singularity Resolution Without Quantum Gravity Machinery <br> Big Bang singularity replaced by bounded discrepancy dynamics</p> <p>2. Macroscopic Model of Information Recovery <br> Black hole information paradox reformulated as delayed release process</p> <p>3. Unified Structural Interpretation <br> Same Δ-framework applies to both cosmology and black holes</p> <p>4. Testable Prediction<br> Entropy decay rate after Page time:</p> <p> γ(M) ∝ M⁻³</p> <p>---</p> <p>## Scope and Limitations</p> <p>This framework is:</p> <p>- A phenomenological effective model<br>- Not a derivation of quantum gravity from first principles<br>- Valid in the semi-classical regime</p> <p>---</p> <p>## Citation</p> <p>If you use or reference this work, please cite both papers as a unified framework.</p> <p>---</p> <p>## Author</p> <p>Kyeong-Up Moon <br>Independent Researcher </p> <p>---</p> <p>## License</p> <p>This work is released under the MIT License.</p> <p>---</p> <p>## Contact</p> <p>moonkup@gmail.com</p> <p> </p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19776499 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Δ-Discrepancy Framework: A Unified Structural Model for Cosmological Singularities and Black Hole Information Recovery Moon, KyungUp black hole information paradox cosmological singularity big bounce entanglement entropy island formula lindblad equation open quantum systems quantum information hawking radiation page curve quantum gravity phenomenology discrepancy dynamics entropy flow <p>This dataset presents a unified phenomenological framework based on a structural discrepancy variable Δ, applied to two fundamental problems in theoretical physics.</p> <p>Paper A:<br>A Structural Regularization of the Cosmological Singularity.<br>The Big Bang singularity is reinterpreted as an unbounded discrepancy between classical geometry and quantum matter, leading to a non-singular bouncing cosmology.</p> <p>Paper B:<br>A Phenomenological Open-System Model of Delayed Information Release in Black Hole Evaporation.<br>The black hole information paradox is reformulated as a delayed release process governed by an entropy buffer Δ(t) and a generalized entropy gap Δ_RT(t), implemented through Lindblad dynamics.</p> <p>The framework demonstrates that both singularities and information loss can be understood as manifestations of uncontrolled structural discrepancy.</p> <p>A key falsifiable prediction is derived:<br>γ(M) ∝ M⁻³</p> <p>This work is intended as a macroscopic effective model bridging semi-classical gravity and quantum information dynamics.</p> <p> </p> <p>{Read}<br><br># Δ-Discrepancy Framework <br>## A Unified Structural Model for Cosmological Singularities and Black Hole Information Recovery</p> <p>---</p> <p>## Overview</p> <p>This repository presents a unified phenomenological framework based on a structural discrepancy variable Δ, applied to two fundamental problems in theoretical physics:</p> <p>- Paper A (Cosmology) <br> Structural regularization of the Big Bang singularity via discrepancy damping → Big Bounce</p> <p>- Paper B (Black Hole Physics) <br> Resolution of the black hole information paradox via entropy-buffered Lindblad dynamics → Delayed Information Release</p> <p>---</p> <p>## Core Principle</p> <p>> Unbounded discrepancy → physical divergence <br>> Bounded discrepancy → regular evolution</p> <p>This framework reinterprets:</p> <p>- Cosmological singularities <br>- Black hole information loss </p> <p>as manifestations of uncontrolled structural discrepancy, rather than true physical infinities or violations.</p> <p>---</p> <p>## Repository Structure</p> <p>/Paper_A_Cosmology/ - Cosmological_Singularity_Paper.pdf /Paper_B_BlackHole/ - BlackHole_Information_Paper.pdf /framework_summary.pdf /README.md /LICENSE</p> <p>---</p> <p>## Key Concepts</p> <p>- Δₖ (Cosmology): <br> Structural mismatch between spacetime geometry and quantum matter expectation</p> <p>- Δ(t) (Black Hole): <br> Hidden entanglement entropy buffer</p> <p>- Δ_RT (Order Parameter): <br> Generalized entropy gap controlling information release</p> <p>- Lindblad Dynamics: <br> Open quantum system formulation ensuring trace preservation and positivity</p> <p>---</p> <p>## Main Contributions</p> <p>1. Singularity Resolution Without Quantum Gravity Machinery <br> Big Bang singularity replaced by bounded discrepancy dynamics</p> <p>2. Macroscopic Model of Information Recovery <br> Black hole information paradox reformulated as delayed release process</p> <p>3. Unified Structural Interpretation <br> Same Δ-framework applies to both cosmology and black holes</p> <p>4. Testable Prediction<br> Entropy decay rate after Page time:</p> <p> γ(M) ∝ M⁻³</p> <p>---</p> <p>## Scope and Limitations</p> <p>This framework is:</p> <p>- A phenomenological effective model<br>- Not a derivation of quantum gravity from first principles<br>- Valid in the semi-classical regime</p> <p>---</p> <p>## Citation</p> <p>If you use or reference this work, please cite both papers as a unified framework.</p> <p>---</p> <p>## Author</p> <p>Kyeong-Up Moon <br>Independent Researcher </p> <p>---</p> <p>## License</p> <p>This work is released under the MIT License.</p> <p>---</p> <p>## Contact</p> <p>moonkup@gmail.com</p> <p> </p> |
| title | Δ-Discrepancy Framework: A Unified Structural Model for Cosmological Singularities and Black Hole Information Recovery |
| topic | black hole information paradox cosmological singularity big bounce entanglement entropy island formula lindblad equation open quantum systems quantum information hawking radiation page curve quantum gravity phenomenology discrepancy dynamics entropy flow |
| url | https://doi.org/10.5281/zenodo.19776499 |