论文标题
普朗克常数在光模型的不同速度中通过绝热膨胀的宇宙演化条件
The cosmological evolution condition of the Planck constant in the varying speed of light models through adiabatic expansion
论文作者
论文摘要
具有一个自由参数$ b $的光速（VSL）型号的各种不同的速度，以表征光速的时间变化作为比例因子的函数，$ c = c_0a^{b/4} $，基于扩展的宇宙。一个人需要诱导其他物理常数的宇宙发展和具有不同比例因素的数量作为$ b $的函数，以满足所有已知的本地物理定律，包括特殊相对论，热力学和电磁力。这些模型应基于Friedmann-Lema-Robertson-Walker度量，满足各向同性和均匀的三个空间，称为宇宙原理。绝热性是保持同质性和各向同性的必要条件，因为如果存在优先的能量流动方向，净能通量会伪造各向同性。如果外部（内部）流向各向同性，则可能会构成同质性。因此，任何基于扩展宇宙的VSL模型都应将绝热的扩展条件保留为可行的模型。我们表明，这种条件将普朗克常数的宇宙演变指定为$ \ hbar = \ hbar_0 a^{ - b/4} $。
There have been various varying speed of light (VSL) models with one free parameter, $b$, to characterize the time variation of the speed of light as a function of a scale factor, $c = c_0a^{b/4}$, based on the expanding universe. One needs to induce cosmological evolutions of other physical constants and quantities having different powers of scale factor as a function of $b$ to satisfy all known local physics laws, including special relativity, thermodynamics, and electromagnetic force. These models should be based on the Friedmann-Lemaître-Robertson-Walker metric satisfying the isotropic and homogeneous three-space known as the cosmological principle. Adiabaticity is a necessary condition to keep homogeneity and isotropy because a net energy flux would falsify the isotropy if there is a preferential energy flow direction. It also might forge homogeneity if the outward (inward) flow is isotropic. Thus, any VSL model based on the expanding universe should preserve an adiabatic expansion condition to be a viable model. We show that this condition specifies the cosmological evolution of the Planck constant as $\hbar = \hbar_0 a^{-b/4}$.
