On the basis of the nonisometric transformations subgroup of the SO(4.2) group, the nonlinear time inhomogeneity one-parameter conformal transformations are constructed. The connection between the group parameter and the Hubble constant H0 is established. It is shown that the existence of an anomalous blue-shifted frequency drift is a pure kinematic manifestation of the time inhomogeneity induced by the Universe expansion. This conclusion is confirmed via a generalization of the standard Special Relativity clock synchronization procedure to the space expanding case. The obtained formulae are in accordance with the observable Pioneer Anomaly effect. The anomalous blue-shifted drift is universal, does not depend on the presence of graviting centers and can be, in principle, observed on any frequencies under suitable experimental conditions. The explicit analytic expression for the speed of recession--intergalactic distance ratio is obtained in the form of a function of the red shift z valid in the whole range of its variation. In the small z limit this expression exactly reproduces the Hubble law. The maximum value of this function at z=0.475 quantitatively corresponds to the experimentally found value z(exp) = 0.46 +/- 0.13 of the transition from the decelerated to the accelerated expansion of the Universe.
Non-existence of isometry-invariant Hadamard states for a Kruskal black hole in a box and for massless fields on 1+1 Minkowski spacetime with a uniformly accelerating mirror
我们猜想（当阿达玛态的概念被适当地采用时），对于定义在右史瓦西楔形中的常数史瓦西半径的表面左边的Kruskal时空区域上的有质量或无质量协变Klein-Gordon方程，当Dirichlet边界条件放在该表面上时，不存在等距不变的阿达玛态。我们还证明了，通过适当定义“升压不变Hadamard态”（我们称之为“强助推不变的全球阿达玛”），它既考虑了类时边界的存在和特殊的无质量1+1红外病理学，在1+1闵可夫斯基空间的区域上，在一个永远均匀加速的镜子的左边，无质量的波动方程不存在这样的状态--Dirichlet边界条件这个结果是重要的，因为如果在左楔中也有一个对称放置的减速反射镜（并且排除该反射镜左侧的区域），则这种状态确实存在。我们期望一个类似的存在结果，以保持Kruskal时，有对称放置的球形盒在右和左史瓦西楔。我们的Kruskal no-go猜想提出了关于在黑洞热力学中考虑的盒子中的黑洞的基本问题。如果是真的，它将进一步支持B. S.凯'封闭地平线的不稳定性'，将军Rel。重力47，1-27（2015）（arXiv：1310.7395），对于经典时空来说，最接近于描述盒子中处于平衡状态的黑洞的东西是外史瓦西解，经典时空图像在视界附近破裂。附录指出存在的，并部分填补了空白的证明定理在BS。凯和R. M. Wald Phys.Rep.207，49-136（1991）。
Acceleration as a circular motion along an imaginary circle: Kubo-Martin-Schwinger condition for accelerating field theories in imaginary-time formalism
Commonwealth Scientific and Industrial Research Organisation (CSIRO)（澳大利亚联邦科学与工业研究组织）；School of Mathematics and Physics, The University of Queensland（昆士兰大学数理学院）；Okinawa Institute of Science and Technology Graduate University（冲绳科学技术大学院大学）
