Newton's gravitation-force's classical average proof of a Verlinde's conjecture

经典时空作为引力凝聚体：USMEG-EFT涌现与Verlinde熵引力的比较

Classical spacetime as a gravitational condensate: USMEG-EFT emergence in comparison to Verlinde's entropic gravity

本文提出经典时空是USMEG-EFT中的引力凝聚体，通过量子修正鞍点方程确定凝聚解体标度，解决了Verlinde熵引力的不一致性。

Verlinde's emergent gravity in an $\boldsymbol{n-}$dimensional, non-additive Tsallis' scenario

This paper brings together four distinct but very important physical notions: 1) Entropic force, 2) Entropy-along-a-curve, 3) Tsallis' q-statistics, and 4) Emergent gravitation. We investigate the non additive, classical (Tsallis') q-statistical mechanics of a phase-space curve in $n$ dimensions (3 dimensions, in particular). We focus attention on an entropic force mechanism that yields a simple realization of it, being able to mimic interesting effects such as confinement, hard core, and asymptotic freedom, typical of high energy physics

德拜熵引力修正的Friedmann方程

Modified Friedmann Equations From Debye Entropic Gravity

最近，Verlinde提出了一个关于引力起源的新观点，他声称引力定律不再是基本的，而是作为熵力自然出现的。在Verlinde推导中，全息屏上的能量均分定律起着至关重要的作用。然而，能量均分定律在很低的温度下失效。因此，在全息屏温度很低的情况下，熵力的形式应加以修正。在考虑德拜熵引力的情况下，遵循Verlinde的策略，导出了修正的牛顿引力定律和相应的Friedmann方程，它们在所有温度范围内都是有效的。在强引力场的极限，即与德拜温度相比的高温，$T\gg T_D$，人们恢复了标准牛顿定律和弗里德曼方程。我们还将我们的研究推广到熵修正面积定律，并导出了适用于所有温度范围的动力学宇宙学方程。对所得结果的一些局限性也进行了研究。

通过熵力的时变引力常量G

Time varying gravitational constant G via the entropic force

如果不确定原理适用于Verlinde熵的概念，它将导致牛顿力学第二定律中普朗克尺度下的一个新项。这个奇怪的速度依赖项激发了引力的摩擦特性。在这封简短的信中，我们解决这个新的条款修改的有效质量和牛顿常数的时间依赖量。因此，我们必须对全息屏幕附近的粒子质量$m$和$G$的有效质量值进行计算。这一结果与Dirac关于大数假设（L.N.H.）[1]的文件。我们提出，通过Verlinde思想修正的熵项可以作为Dirac思想真实性的全息证据。

超导体中的修正熵引力

Modified Entropic Gravitation in Superconductors

Verlinde最近发展了一个用熵力来解释引力的理论。Verlinde推导的核心要素是信息及其通过全息原理与熵的关系。将这种方法应用于超导体的情况需要考虑与超导体的量子真空能量相关的信息不是存储在普朗克尺寸的表面元素上，而是存储在四个普朗克-爱因斯坦尺寸的体积单元中。这对超导体中量子真空凝聚体产生的引力类型有着深远的影响，这与宇宙学排斥加速度密切相关，而排斥加速度是宇宙加速膨胀的原因。值得注意的是，这种新的引力型力依赖于给定超导材料中库珀对的弱等效原理的破缺程度，作者以前从类似的原理出发推导出了这一原理。它还表明，这种新的引力可以解释为表面力。实验检测这种新的排斥性引力类型的力量似乎是具有挑战性的。

短距离引力

Gravitation at Very Short Distances

在这篇笔记中，它是讨论为什么试图重整化传统的量子引力可能是基于一个错误的假设，因为，根据Verlinde的引力熵的观点，两个基本粒子之间的引力消失。

Derivation of Newton's law of gravitation based on a fluidic continuum model of vacuum and a sink flow model of particles

The main purpose of this paper is to seek a mechanical interpretation of gravitational phenomena. We suppose that the universe may be filled with a kind of fluid which may be called the $Ω(0)$ substratum. Thus, the inverse-square law of gravitation is derived by methods of hydrodynamics based on a sink flow model of particles. The first feature of this theory of gravitation is that the gravitational interactions are transmitted by a kind of fluidic medium. The second feature is the time dependence of gravitational constant $G$ and gravitational mass. Newton's law of gravitation is derived if w…

An Entropic Force Schrödringer mechanism for Dark Matter generation

Theorists of entropic (emergent) gravity put forward that what has been regarded as unobserved dark matter might instead be the product of quantum effects that can be looked at as emergent energy (EE). Here we describe a novel Schrödringer mechanism (SM). This SM uncovers the existence of new quantum gravitational states that could be associated to the above mentioned EE. This is done on the basis of the microscopic Verlinde-like entropic force advanced in [Physica A {\bf 511} (2018) 139], that deviates from the Newton's form at extremely short distances.

从开普勒定律到牛顿万有引力定律的史诗之旅

The epic journey from Kepler's laws to Newton's law of universal gravitation revisited

本文回顾了《牛顿原理》第一卷中有关开普勒行星定律和万有引力的主要结果。为了阐明牛顿的推理，本文给出了一些简单的证明，以启发青年学生。所有的证明都是基于球体的对称性或利用开普勒面积定律，该定律也反映了向心力的对称性。