Doubly Special Relativity and Relative Locality

Analysis of black hole thermodynamics under Generalized uncertainty principle from the doubly special relativity

In this paper, we investigate effect of the generalized uncertainty principle (GUP) under the doubly special relativity (DSR) on the thermodynamics properties of the topological charged black hole in Anti-de Sitter (AdS) space only in the spherical horizon case have. Our study is based on a heuristic analysis of a particle which is captured by the black hole. We also report here some results of a usual analytical computation. However, we obtain the black hole thermodynamic properties as familiar concepts such as temperature, entropy and heat capacity under DSR-GUP. we also compare our both ana…

三维修正狄拉克振子在标准和广义双特殊相对论中的研究

Three-Dimensional Modified Dirac Oscillator in Standard and Generalized Doubly Special Relativity

本文研究了三维修正狄拉克振子在标准和广义双特殊相对论中的变形，通过线性非最小动量耦合构建了可解的基准模型，探讨了量子数与相对论能量之间的代数关系变化及能级偏移。

Unruh effect of nonlocal field theories with a minimal length

The nonlocal field theory commonly requires a minimal length, and so it appears to formulate the nonlocal theory in terms of the doubly special relativity which makes the speed of light and the minimal length invariant simultaneously. We set up a generic nonlocal model having the same set of solutions as the local theory but allowing Lorentz violations due to the minimal length. It is exactly corresponding to the model with the modified dispersion relation in the doubly special relativity. For this model, we calculate the modified Wightman function and the rate of response function by using th…

Effect of Non-commutativity of space-time on Thermodynamics of Photon gas

Doubly special relativity(DSR) introduce a minimal length scale i.e. the Planck length scale, which is independent length scale in addition to the speed of light in the normal special theory of relativity(STR). Doubly special relativity leads to study the $κ$-Minkowski space-time. In this paper, we present the result of our investigation on the thermodynamics of photon gas in the $κ$-Minkowski space-time. For studying this, we start with the $κ$-deformed dispersion relation and keep terms upto first order in the deformation parameter $a$ and we study that how does $κ$-deformed dispersion relat…

Quantum Non-Locality and the CMB: what Experiments say

"Non-Locality is most naturally incorporated into a theory in which there is a special frame of reference. One possible candidate for this special frame of reference is the one in which the Cosmic Microwave Background (CMB) is isotropic. However, other than the fact that a realistic interpretation of quantum mechanics requires a preferred frame and the CMB provides us with one, there is no readily apparent reason why the two should be linked" (L. Hardy). Starting from this remark we first argue that, given the present view of the vacuum, the basic tenets of Quantum Field Theory cannot guarante…

On Mach's Principle and the "Special" Theory of Relativity

First, we present a history of the school of thought that the Cosmic Microwave Background Radiation acts as an ether in contemporary popular English. Then we illustrate the properties of this ether and of a hypothetical "test mass" using a brand new thought experiment. Finally, we recount some post-Einstein efforts at a mathematical formulation of Mach's principle and raise some questions about what implications it has for the locality of rotation and for quantum gravity. This paper does not prove Einstein wrong.