Quantum Error-Correcting Code Structure of Holographic Entropy Bounds in Cyclic Cosmology
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| Format: | Recurso digital |
| Sprache: | Englisch |
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2026
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| _version_ | 1866901238537256960 |
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| author | Beauve, Jean |
| author_facet | Beauve, Jean |
| contents | <p>We demonstrate that the holographic entropy bound across cosmological bounces has the structure of a quantum error-correcting code (QECC). The accessible entropy is protected by a stabiliser code with bond dimension χ, yielding C_univ = 0.24 ± 0.07 from the code rate. We derive the HΣΔ filtering mechanism — a Sigma-Delta modulator that performs noise-shaped entropy reset at each bounce, preserving coherent modes while pushing thermal entropy into inaccessible (hidden sector) degrees of freedom. The QECC structure provides the microscopic foundation for the phenomenological observations of Papers I–II.<br>Part III of VII.<br><br> </p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18737172 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Quantum Error-Correcting Code Structure of Holographic Entropy Bounds in Cyclic Cosmology Beauve, Jean quantum error correction stabiliser codes Sigma-Delta modulation noise shaping cyclic cosmology loop quantum cosmology holographic entropy bouncing universe CMB predictions entropy bounds <p>We demonstrate that the holographic entropy bound across cosmological bounces has the structure of a quantum error-correcting code (QECC). The accessible entropy is protected by a stabiliser code with bond dimension χ, yielding C_univ = 0.24 ± 0.07 from the code rate. We derive the HΣΔ filtering mechanism — a Sigma-Delta modulator that performs noise-shaped entropy reset at each bounce, preserving coherent modes while pushing thermal entropy into inaccessible (hidden sector) degrees of freedom. The QECC structure provides the microscopic foundation for the phenomenological observations of Papers I–II.<br>Part III of VII.<br><br> </p> |
| title | Quantum Error-Correcting Code Structure of Holographic Entropy Bounds in Cyclic Cosmology |
| topic | quantum error correction stabiliser codes Sigma-Delta modulation noise shaping cyclic cosmology loop quantum cosmology holographic entropy bouncing universe CMB predictions entropy bounds |
| url | https://doi.org/10.5281/zenodo.18737172 |