The paper derives exact spectra and thermodynamic properties for supersymmetric systems with self-adjoint deformed momentum operators, showing distinct heat-capacity behaviors under linear versus quadratic geometric deformations.
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GUP with minimal length and maximal momentum applied to Schwarzschild black holes yields finite discrete mass spectrum, maximum mass, and constrains the GUP parameter to β ≲ 10^{-98} from astrophysical data.
A rigorous lower bound is derived for the ground-state energy of particles in spaces with minimal length and momentum uncertainties, with explicit results for oscillators under linear deformation approximation.
The bounded discrete thermal weight suppresses black-hole Hawking luminosity near the cutoff and supports an exact Jarzynski identity for work but not a simple Crooks relation.
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Spectral and thermodynamic properties of supersymmetric quantum systems with self-adjoint deformed momentum
The paper derives exact spectra and thermodynamic properties for supersymmetric systems with self-adjoint deformed momentum operators, showing distinct heat-capacity behaviors under linear versus quadratic geometric deformations.
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Finite Hilbert space and maximum mass of Schwarzschild black holes from a Generalized Uncertainty Principle
GUP with minimal length and maximal momentum applied to Schwarzschild black holes yields finite discrete mass spectrum, maximum mass, and constrains the GUP parameter to β ≲ 10^{-98} from astrophysical data.
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Ground-state energy of a particle in a space with minimal length and minimal momentum
A rigorous lower bound is derived for the ground-state energy of particles in spaces with minimal length and momentum uncertainties, with explicit results for oscillators under linear deformation approximation.
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Bounded thermal weights from a discrete Boltzmann factor
The bounded discrete thermal weight suppresses black-hole Hawking luminosity near the cutoff and supports an exact Jarzynski identity for work but not a simple Crooks relation.