Interaction of a wave with an accelerating object and the equivalence principle

Electrical charges in gravitational fields, and Einstein's equivalence principle

According to Larmor's formula, accelerated electric charges radiate electromagnetic waves. Hence charges should radiate, if they are in free fall in gravitational fields, and they should not radiate if they are supported at rest in gravitational fields. But according to Einstein's equivalence principle, charges in free fall should not radiate, while charges supported at rest in gravitational fields should radiate. In this article we point out indirect experimental evidence, indicating that the equivalence principle is correct, while the traditional interpretation of Larmor's formula must be am…

Extended Equivalence Principle: Implications for Gravity, Geometry and Thermodynamics

The equivalence principle was formulated by Einstein in an attempt to extend the concept of inertial frames to accelerated frames, thereby bringing in gravity. In recent decades, it has been realised that gravity is linked not only with geometry of space-time but also with thermodynamics especially in connection with black hole horizons, vacuum fluctuations, dark energy, etc. In this work we look at how the equivalence principle manifests itself in these different situations where we have strong gravitational fields. In recent years the generalised uncertainty principle has been invoked to con…

基于爱因斯坦等效原理的两个落链证明

Two falling-chain demonstrations based on Einstein's equivalence principle

根据等效原理，给出了折叠链和水平扁链在一端固定于刚性支承时的倒链过程的简单演示。

弱等效原理与狄拉克常数：来自全息原理的一个结果

The weak equivalence principle and the Dirac constant: A result from the holographic principle

本文基于全息原理的新表述，证明广义相对论中的弱等效原理等价于狄拉克常数两种形式之间的等价性，并通过维克旋转和全息张量网络的经典化建立联系。

Gravitational Lagrangians, Mach's principle, and the equivalence principle in an expanding universe

The gravitational Lagrangian based on special relativity and the assumption of a fourth rank tensor interaction, derived by Kennedy (1972), is used to check Mach's principle in a homogeneous isotropic expanding universe. The Lagrangian is found to be consistent with Mach's principle when the density is the critical density and inertial mass is suitably renormalized. The Kennedy approach only gives the Lagrangian to first order in the gravitational coupling constant. By invoking the equivalence principle higher order corrections are found which renormalize the gravitational masses to the same v…

广义相对论中的多体：热等效原理

Many Body in General Relativity: A thermal equivalence principle

本文回顾了广义相对论框架下多体系统的物理，从单体应力-能量张量到完美流体，涵盖相对论流体动力学、动力学理论和N个全同粒子的统计物理，最终提出热等效原理。