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Article

On the Hilbert Space in Quantum Gravity

1
UDF Centro Universitário, Brasília 70390-045, Brazil
2
Faculdade de Tecnologia e Ciências Sociais Aplicadas, Centro de Ensino Unificado de Brasília (CEUB), Brasília 70790-075, Brazil
3
Faculdade Gama, Universidade de Brasília, Brasília 70910-900, Brazil
4
Canadian Quantum Research Center, 204-3002 32 Ave, Vernon, BC V1T 2L7, Canada
5
International Center of Physics, Instituto de Física, Universidade de Brasília, Brasília 70910-900, Brazil
*
Author to whom correspondence should be addressed.
Academic Editors: Arundhati Dasgupta and Alfredo Iorio
Universe 2022, 8(8), 413; https://doi.org/10.3390/universe8080413
Received: 17 June 2022 / Revised: 31 July 2022 / Accepted: 3 August 2022 / Published: 5 August 2022
(This article belongs to the Special Issue Quantum Gravity Phenomenology)
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.
Keywords: quantum gravity; teleparallelism; non-commutative gravity quantum gravity; teleparallelism; non-commutative gravity
MDPI and ACS Style

Spaniol, E.P.; Amorim, R.G.G.; Ulhoa, S.C. On the Hilbert Space in Quantum Gravity. Universe 2022, 8, 413. https://doi.org/10.3390/universe8080413

AMA Style

Spaniol EP, Amorim RGG, Ulhoa SC. On the Hilbert Space in Quantum Gravity. Universe. 2022; 8(8):413. https://doi.org/10.3390/universe8080413

Chicago/Turabian Style

Spaniol, Ednardo Paulo, Ronni Geraldo Gomes Amorim, and Sergio Costa Ulhoa. 2022. "On the Hilbert Space in Quantum Gravity" Universe 8, no. 8: 413. https://doi.org/10.3390/universe8080413

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