Quantum-corrected thermodynamics of conformal Weyl gravity black holes via GUP and exponential entropy reveals parameter-dependent divergences in heat capacity and shifts in Joule-Thomson inversion points indicating phase transitions.
The Algebraic structure of the generalized uncertainty principle
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abstract
We show that a deformation of the Heisenberg algebra which depends on a dimensionful parameter $\kappa$ is the algebraic structure which underlies the generalized uncertainty principle in quantum gravity. The deformed algebra and therefore the form of the generalized uncertainty principle are fixed uniquely by rather simple assumptions. The string theory result is reproduced expanding our result at first order in $\Delta p/M_{\rm PL}$. We also briefly comment on possible implications for Lorentz invariance at the Planck scale.
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gr-qc 2years
2025 2verdicts
UNVERDICTED 2representative citing papers
The paper provides state-of-the-art predictions for the Einstein Telescope's impact on fundamental physics, cosmology, compact-object astrophysics, and multi-messenger astronomy across its proposed configurations.
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Quantum-Corrected Thermodynamics of Conformal Weyl Gravity Black Holes: GUP Effects and Phase Transitions
Quantum-corrected thermodynamics of conformal Weyl gravity black holes via GUP and exponential entropy reveals parameter-dependent divergences in heat capacity and shifts in Joule-Thomson inversion points indicating phase transitions.
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The Science of the Einstein Telescope
The paper provides state-of-the-art predictions for the Einstein Telescope's impact on fundamental physics, cosmology, compact-object astrophysics, and multi-messenger astronomy across its proposed configurations.