On Deformed Phase Space Black Holes

We revisit the Schwarzschild black hole in the context of noncommutative phase space. By mapping the horizon area operator into a two-dimensional harmonic oscillator structure, we derive the modifications induced by phase space noncommutativity. The formalism is developed using the generalized Bopp shift on the canonical coordinates and momenta. We computed the modified area spectrum, black hole mass levels, transition frequencies, Hawking temperature, and entropy, highlighting the physical implications of the deformation parameters 𝜃 and 𝜂 on the thermodynamical properties of the deformed black hole. Finally, we conjecture a connection between the noncommutative contribution to the entropy and Barrow's entropy.

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Publication Details

Journal
International Journal of Modern Physics D
Published
2026-06-19
DOI
https://doi.org/10.1142/s0218271826500380
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
article
Field-Weighted Citation Impact
0.00
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article

On Deformed Phase Space Black Holes

A. Crespo-Hernández, E. A. Mena-Barboza, M. Sabido
International Journal of Modern Physics D
Noncommutative and Quantum Gravity Theories
article

On Deformed Phase Space Black Holes

A. Crespo-Hernández, E. A. Mena-Barboza, M. Sabido
article en

Abstract

We revisit the Schwarzschild black hole in the context of noncommutative phase space. By mapping the horizon area operator into a two-dimensional harmonic oscillator structure, we derive the modifications induced by phase space noncommutativity. The formalism is developed using the generalized Bopp shift on the canonical coordinates and momenta. We computed the modified area spectrum, black hole mass levels, transition frequencies, Hawking temperature, and entropy, highlighting the physical implications of the deformation parameters 𝜃 and 𝜂 on the thermodynamical properties of the deformed black hole. Finally, we conjecture a connection between the noncommutative contribution to the entropy and Barrow's entropy.

International Journal of Modern Physics D
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Noncommutative and Quantum Gravity Theories
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On Deformed Phase Space Black Holes — A. Crespo-Hernández, E. A. Mena-Barboza, et al. · International Journal of Modern Physics D (2026) | TGRS Research Map | TGRS