arXiv subjects

Ying-Jie Zhao

Publications and source records attributed to Ying-Jie Zhao.

9 recordsLinked to original sources

arXiv2024

One-dimension quantum systems in the framework of the most general deformation GUP form

This paper provides a concise overview of the comprehensive version of the Generalized Uncertainty Principle (GUP) derived from nonlocal quantum mechanics and extensively addressed by S. Masood, et al. We utilize the specific constraint of this GUP formulation to compute the energy correction and the modified wave function for the linear potential in one dimension. In addition, we examine the impact of deformation on a one-dimensional delta potential well and a one-dimensional delta potential barrier. Furthermore, we specifically focus on the impact of deformation on hydrogen atoms existing in one dimension, and we conduct a distinct investigation into the Stark effect on the atom.

quant-ph↗

arXiv2024

Remnants of black holes from rainbow gravity in terms of a new VSL theory

The gravity's rainbow function is derived in terms of a new varying speed of light (VSL) theory that varying velocity of light in the rainbow gravity becomes smaller when the energy of photons increases. In light of the new theory we calculate the modified temperature, entropy and heat capacity of the Schwarzschild, Kerr, AdS black holes, as well as spinning black rings. Our results demonstrate that in rainbow gravity the behaviors of various black holes have remarkably essential difference from those of standard black holes near the Planck scale, and a logarithmic term emerges in the formula of the entropy of every black object.

gr-qc↗

arXiv2017

Hawking radiation from the holographic screen

In this paper we generalize the Parikh-Wilczek scheme to a holographic screen in the framework of the ultraviolet self-complete quantum gravity. We calculate that the tunneling probabilities of the massless and massive particles depend on their energies of the particles and the mass of the holographic screen. The radiating temperature has not been the standard Hawking temperature. On the contrary, the quantum unitarity principle always remains.

gr-qc↗

arXiv2017

Different Prospects of the Universe Depending on Dark Energy and/or a New Kind of Extra Dimension

Generally making the cosmological scale factor $R$ be a function of the coordinate of the extra dimension $σ$ that is also a function of time $t$, we achieve a new kind of cosmic acceleration mechanism depending on extra dimension. We give the constraints on $σ$ under four different prospects of the universe, and indicate that dark energy is not required for both the small extra dimension and the accelerating expansion of our universe. This results in this paper show that the accelerating expansion of our universe may come from both dark energy and the achieved new mechanism here, or the latter alone.

gr-qc↗

arXiv2016

Maximally localized states and quantum corrections of black hole thermodynamics in the extreme case with an improved exponential GUP

We have introduced an improved exponential GUP, derived the maximally localized states, calculated quantum corrections to the thermodynamic quantities of the Schwardzschild black hole in our previous work. In this paper we continue to investigate how the maximally localized states and thermodynamic quantities such as Hawking temperature, the entropy, the heat capacity, the evaporation rate, and the decay time change in the extreme case that the integer n in our GUP rises to infinity.

hep-th↗

arXiv2015

Maximally localized states and quantum corrections of black hole thermodynamics in the framework of a new generalized uncertainty principle

As a generalized uncertainty principle (GUP) leads to the effects of the minimal length of the order of the Planck scale and UV/IR mixing, some significant physical concepts and quantities are modified or corrected correspondingly. On the one hand, we derive the maximally localized states --- the physical states displaying the minimal length uncertainty associated with a new GUP proposed in our previous work. On the other hand, in the framework of this new GUP we calculate quantum corrections to the thermodynamic quantities of the Schwardzschild black hole, such as the Hawking temperature, the entropy, and the heat capacity, and give a remnant mass of the black hole at the end of the evaporation process. Moreover, we compare our results with that obtained in the frameworks of several other GUPs. In particular, we observe a significant difference between the situations with and without the consideration of the UV/IR mixing effect in the quantum corrections to the evaporation rate and the decay time. That is, the decay time can greatly be prolonged in the former case, which implies that the quantum correction from the UV/IR mixing effect may give rise to a radical rather than a tiny influence to the Hawking radiation.

hep-th↗

arXiv2015

Symmetry of Generalized Randall-Sundrum Model and Distribution of 3-Branes in Six-Dimensional Spacetime

A generalization from the usual $5$-dimensional two-brane Randall-Sundrum (RS) model to a $6$-dimensional multi-brane RS model is presented. The extra dimensions are extended from one to two; correspondingly the single-variable warp function is generalized to be a double-variable function, to represent the two extra dimensions. In the analysis of the Einstein equation we have two remarkable discoveries. One is that, when branes are absent, the cosmological parameter distributed in the two extra dimensions acts as a function describing a family of circles. These circles are not artificially added ones but stem from the equations of motion, while their radii are inversely proportional to the square root of the cosmological parameter. The other discovery is that, on any circle, there symmetrically distribute four branes. Their tensions, $V_1 \sim V_4$, satisfy a particular relationship $V_1=V_3=-V_2=-V_4=3M^4$, where $M$ is the $6$-dimensional fundamental scale of the RS model.

gr-qc↗

arXiv2014

Interpretation of the Cosmological Constant Problem within the Framework of Generalized Uncertainty Principle

We propose an improved exponential Generalized Uncertainty Principle (GUP) by introducing a positive integer $n$ called the suppressing index. Due to the UV/IR mixing brought by the GUP, the states with momenta smaller than the critical momentum ($P < P_{\rm Crit}$) are canceled by the states with momenta larger than the critical momentum ($P > P_{\rm Crit}$) and thus have no contributions to the energy density of the vacuum. By considering the contributions just from the states with momenta larger than the critical momentum ($P > P_{\rm Crit}$) and choosing a suitable suppressing index, $n \sim 10^{123}$, we calculate the cosmological constant consistent with the experimentally observed value.

hep-th↗

arXiv2012

Interacting Theory of Chiral Bosons and Gauge Fields on Noncommutative Extended Minkowski Spacetime

Several interacting models of chiral bosons and gauge fields are investigated on the noncommutative extended Minkowski spacetime which was recently proposed from a new point of view of disposing noncommutativity. The models include the bosonized chiral Schwinger model, the generalized chiral Schwinger model (GCSM) and its gauge invariant formulation. We establish the Lagrangian theories of the models, and then derive the Hamilton's equations in accordance with the Dirac's method and solve the equations of motion, and further analyze the self-duality of the Lagrangian theories in terms of the parent action approach.

hep-th↗