Universal Ladder Structure Across Scales: From Quantum to Black Hole Physics
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866918433030930432 |
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| author | Ghosh, Rajes Bhatt, Rajendra Prasad Chakraborty, Sumanta Bose, Sukanta |
| author_facet | Ghosh, Rajes Bhatt, Rajendra Prasad Chakraborty, Sumanta Bose, Sukanta |
| contents | Second-order ordinary linear differential equations appear ubiquitously across physics, describing the behavior of systems from the quantum world of atoms to the classical world of gravitating bodies. We present a unified symmetry-based framework that provides a ``litmus-test criterion'' to determine when such a system admits a hierarchical ladder structure, and, whenever it does, explicitly constructs the ladder. This approach uncovers a previously underappreciated connection to supersymmetric quantum mechanics and a deep commonality among diverse physical problems. Applications to the quantum harmonic oscillator and dynamical tidal response of Kerr black holes are presented to illustrate the framework. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_06249 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Universal Ladder Structure Across Scales: From Quantum to Black Hole Physics Ghosh, Rajes Bhatt, Rajendra Prasad Chakraborty, Sumanta Bose, Sukanta General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics Quantum Physics Second-order ordinary linear differential equations appear ubiquitously across physics, describing the behavior of systems from the quantum world of atoms to the classical world of gravitating bodies. We present a unified symmetry-based framework that provides a ``litmus-test criterion'' to determine when such a system admits a hierarchical ladder structure, and, whenever it does, explicitly constructs the ladder. This approach uncovers a previously underappreciated connection to supersymmetric quantum mechanics and a deep commonality among diverse physical problems. Applications to the quantum harmonic oscillator and dynamical tidal response of Kerr black holes are presented to illustrate the framework. |
| title | Universal Ladder Structure Across Scales: From Quantum to Black Hole Physics |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2604.06249 |