On the Hilbert Space in Quantum Gravity
This article deals with the fractional problem of Sturm–Liouville and the Hilbert space associated with the solutions of this differential equation. We apply a quantization procedure to Schwarzschild space–time and obtain a fractional differential equation. The Hilbert space for these solutions is e...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-08-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/8/8/413 |
| _version_ | 1827598072434130944 |
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| author | Ednardo Paulo Spaniol Ronni Geraldo Gomes Amorim Sergio Costa Ulhoa |
| author_facet | Ednardo Paulo Spaniol Ronni Geraldo Gomes Amorim Sergio Costa Ulhoa |
| author_sort | Ednardo Paulo Spaniol |
| collection | DOAJ |
| description | This article deals with the fractional problem of Sturm–Liouville and the Hilbert space associated with the solutions of this differential equation. We apply a quantization procedure to Schwarzschild space–time and obtain a fractional differential equation. The Hilbert space for these solutions is established. We used equations arising from quantization for the FRW and Reissner–Nordstron metrics to build the respective Hilbert spaces. |
| first_indexed | 2024-03-09T03:44:19Z |
| format | Article |
| id | doaj.art-4bbd4b8c5a17417483cc803d3319f75a |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-09T03:44:19Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-4bbd4b8c5a17417483cc803d3319f75a2023-12-03T14:36:15ZengMDPI AGUniverse2218-19972022-08-018841310.3390/universe8080413On the Hilbert Space in Quantum GravityEdnardo Paulo Spaniol0Ronni Geraldo Gomes Amorim1Sergio Costa Ulhoa2UDF Centro Universitário, Brasília 70390-045, BrazilFaculdade Gama, Centro de Ensino Unificado de Brasília (CEUB), Brasília 70910-900, BrazilCanadian Quantum Research Center, 204-3002 32 Ave, Vernon, BC V1T 2L7, CanadaThis article deals with the fractional problem of Sturm–Liouville and the Hilbert space associated with the solutions of this differential equation. We apply a quantization procedure to Schwarzschild space–time and obtain a fractional differential equation. The Hilbert space for these solutions is established. We used equations arising from quantization for the FRW and Reissner–Nordstron metrics to build the respective Hilbert spaces.https://www.mdpi.com/2218-1997/8/8/413quantum gravityteleparallelismnon-commutative gravity |
| spellingShingle | Ednardo Paulo Spaniol Ronni Geraldo Gomes Amorim Sergio Costa Ulhoa On the Hilbert Space in Quantum Gravity Universe quantum gravity teleparallelism non-commutative gravity |
| title | On the Hilbert Space in Quantum Gravity |
| title_full | On the Hilbert Space in Quantum Gravity |
| title_fullStr | On the Hilbert Space in Quantum Gravity |
| title_full_unstemmed | On the Hilbert Space in Quantum Gravity |
| title_short | On the Hilbert Space in Quantum Gravity |
| title_sort | on the hilbert space in quantum gravity |
| topic | quantum gravity teleparallelism non-commutative gravity |
| url | https://www.mdpi.com/2218-1997/8/8/413 |
| work_keys_str_mv | AT ednardopaulospaniol onthehilbertspaceinquantumgravity AT ronnigeraldogomesamorim onthehilbertspaceinquantumgravity AT sergiocostaulhoa onthehilbertspaceinquantumgravity |