爱因斯坦转盘上的热平衡及其时空对偶性

分别用狭义和广义相对论解出了爱因斯坦转盘上的热平衡流体系统内固有温度对柱坐标的依赖关系T0(ρ).结果表明,运动温度的收缩只与子系统的速度有关而与加速度无关.考虑到引力场中坐标温度的均恒性,爱因斯坦转盘与早期宇宙的时空对偶性直接给出宇宙介质固有温度反比于标度因子R(t)的结论. 关键词： 热平衡 弯曲时空 坐标温度 早期宇宙

Thermal equilibrium of a fluid system on Einstein turntable and its space-time duality

The dependence of proper temperature on cylindrical coordinatesT0（ρ）in thermal equilibrium of a fluid system on Einstein turntable is solved by special and general relativity separately. The results show that the contraction of motion temperature depends only on the speed instead of on the acceleration of subsystems. According to uniformity in space and constancy in time of the coordinate temperature of an equilibrium system, the space-time duality between Einstein turntable and early universe directly presents that the proper temperature of a medium of the early universe is inversely proportional to the spatial scale-factor R(t).