DSR-GUP Black Hole based on COW experiment and Einstein–Bohr’s photon box

In this paper, by studying the COW experiment and the Einstein Bohr’s photon box, we investigate the associated modified phase shift and Hawking temperature. Next, we comment on the effective Newton constant suggested by the doubly special relativity based on the generalized uncertainty principle.

DSR-GUP, maximally localized state, and black hole thermodynamics

We consider a new type of doubly special relativity transformation which gives a new types of generalized uncertainty principle. This model is known to have invariant Planck energy (or Planck momentum) and minimal length. For this model we discuss the generalized uncertainty relation and compute the minimal length and momentum upper bound. We also compute the corresponding maximally localized state explicitly. Finally, we use the generalized uncertainty relation compatible with doubly special relativity to discuss black hole thermodynamics.

Black hole thermodynamics under the generalized uncertainty principle and doubly special relativity

We investigate the effect of the generalized uncertainty principle on the thermodynamic properties of the topological charged black hole in anti-de Sitter space within the framework of doubly special relativity. Our study is based on a heuristic analysis of a particle which is captured by the black hole. We obtain some thermodynamic properties of the black hole including temperature, entropy, and heat capacity in the spherical horizon case.

Interacting dark side of universe through generalized uncertainty principle

We investigate the impact of the generalized uncertainty principle proposed by some approaches to quantum gravity such as string theory and doubly special relativity on the cosmology. Using generalized Poisson brackets, we obtain the modified Friedmann and Raychaudhuri equations and suggest a dynamical dark energy to explain the late-time acceleration of the universe. After considering the interaction between dark matter and dark energy, originated from the minimal length, we obtain the effective cosmological parameters and equation of state parameter for dark matter and dark energy. Finally, we show that the resulting model is equivalent to the Phantom and Tachyon fields.

The generalized uncertainty principle from the doubly special relativity: Algebraic approach, Ramsauer effect and delta potential

In this paper, we consider the DSR-GUP which was first proposed by two of us [W. S. Chung and H. Hassanabadi, Phys. Lett. B 785, 127 (2018)]. Here, we introduce the deformed derivative corresponding to DSR-GUP to discuss the quantum mechanics based on DSR-GUP in an algebraical way. We use the deformed Fourier transform and its inverse transform to discuss the plane wave in [Formula: see text]-space and Gaussian packet. We also extend our discussion to the (1 + 1)-dimensional case. As examples, we discuss the Ramsauer–Townsend effect and delta potential.