Quantum Holography from Fermion Fields
In this paper, we demonstrate, in the context of Loop Quantum Gravity, the Quantum Holographic Principle, according to which the area of the boundary surface enclosing a region of space encodes a qubit per Planck unit. To this aim, we introduce fermion fields in the bulk, whose boundary surface is t...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-09-01
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| Series: | Quantum Reports |
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| Online Access: | https://www.mdpi.com/2624-960X/3/3/37 |
| _version_ | 1797517398662709248 |
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| author | Paola Zizzi |
| author_facet | Paola Zizzi |
| author_sort | Paola Zizzi |
| collection | DOAJ |
| description | In this paper, we demonstrate, in the context of Loop Quantum Gravity, the Quantum Holographic Principle, according to which the area of the boundary surface enclosing a region of space encodes a qubit per Planck unit. To this aim, we introduce fermion fields in the bulk, whose boundary surface is the two-dimensional sphere. The doubling of the fermionic degrees of freedom and the use of the Bogolyubov transformations lead to pairs of the spin network’s edges piercing the boundary surface with double punctures, giving rise to pixels of area encoding a qubit. The proof is also valid in the case of a fuzzy sphere. |
| first_indexed | 2024-03-10T07:16:05Z |
| format | Article |
| id | doaj.art-132a1ff56cef4c0d9c5f58ebc12c14c5 |
| institution | Directory Open Access Journal |
| issn | 2624-960X |
| language | English |
| last_indexed | 2024-03-10T07:16:05Z |
| publishDate | 2021-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Quantum Reports |
| spelling | doaj.art-132a1ff56cef4c0d9c5f58ebc12c14c52023-11-22T15:02:03ZengMDPI AGQuantum Reports2624-960X2021-09-013357659110.3390/quantum3030037Quantum Holography from Fermion FieldsPaola Zizzi0Department of Brain and Behavioural Sciences, Pavia University, Piazza Botta 11, 27100 Pavia, ItalyIn this paper, we demonstrate, in the context of Loop Quantum Gravity, the Quantum Holographic Principle, according to which the area of the boundary surface enclosing a region of space encodes a qubit per Planck unit. To this aim, we introduce fermion fields in the bulk, whose boundary surface is the two-dimensional sphere. The doubling of the fermionic degrees of freedom and the use of the Bogolyubov transformations lead to pairs of the spin network’s edges piercing the boundary surface with double punctures, giving rise to pixels of area encoding a qubit. The proof is also valid in the case of a fuzzy sphere.https://www.mdpi.com/2624-960X/3/3/37holographic principlefermionic QFTspin networksfuzzy sphere |
| spellingShingle | Paola Zizzi Quantum Holography from Fermion Fields Quantum Reports holographic principle fermionic QFT spin networks fuzzy sphere |
| title | Quantum Holography from Fermion Fields |
| title_full | Quantum Holography from Fermion Fields |
| title_fullStr | Quantum Holography from Fermion Fields |
| title_full_unstemmed | Quantum Holography from Fermion Fields |
| title_short | Quantum Holography from Fermion Fields |
| title_sort | quantum holography from fermion fields |
| topic | holographic principle fermionic QFT spin networks fuzzy sphere |
| url | https://www.mdpi.com/2624-960X/3/3/37 |
| work_keys_str_mv | AT paolazizzi quantumholographyfromfermionfields |