This prevents matter compressing indefinitely to reach infinite density, so there is no singularity.
这将防止物质无限收缩至无限致密,因此不存在奇点。
So when a massive star collapses in on itself, it will keep and keep collapsing until it gets to a point of infinite density.
所以当一个巨大的恒星自我爆炸,它将继续一直爆炸,直至到达无限密度的一个点。
The Big Bang model holds that everything that now comprises the universe was once concentrated in a single point of near-infinite density.
大爆炸模型认为,现在的一切,包括曾经在一个近乎无限密度的单点集中的宇宙。
This prevents matter from compressing indefinitely to a singularity of infinite density. Instead, matter rebounds like a spring, and starts expanding again.
这保证了事物不会由一定质量被压缩成为一个无限大密度的“奇点”,相反地,事物像弹簧一样反弹,并且开始重新扩张。
Whether the singularity is an actual point of infinite density or just a mathematical inadequacy of GR is unclear, as the equations of GR break down inside black holes.
我们无从得知奇点是真实的存在还是广义相对论的数学缺陷,因为广义相对论方程在黑洞中失效。
With Roger Penrose I showed that if Einstein's general theory of relativity is correct, there would be a singularity, a point of infinite density and space-time curvature, where time has a beginning.
Roger Penrose和我曾表明,如果爱因斯坦的一般相对论是正确的,那就会有一个特例,在无限密集和空间时间弯曲这一点上,时间就会有一个开端。
If the density just equals the critical density, the universe is flat, but still presumably infinite.
如果密度正好等于临界密度,宇宙则是平坦的,但很可能仍然是无限的。
For a map of compact metric space, topological entropy density is defined for infinite topological entropy.
在度量空间上,对于拓朴熵为无穷大的映射补充定义拓朴熵密度。
Taking the example of a half-infinite conducting plane, a formula for computing eddy current density is derived directly from Maxwell's equation.
以半无限大平板导体为例,直接从麦克斯韦方程推导出涡流电流密度计算的积分公式。
This method is not from the first principle. A better approach is based on the reduced density matrix, which eliminate the infinite number of the freedoms of the dissipative environment.
该方法不是从第一原理出发,因为耗散环境应该被看成是自由度为无限维的谐振子或原子系统,对它的求解最好的方式是求解约化密度矩阵方程。
This method is not from the first principle. A better approach is based on the reduced density matrix, which eliminate the infinite number of the freedoms of the dissipative environment.
该方法不是从第一原理出发,因为耗散环境应该被看成是自由度为无限维的谐振子或原子系统,对它的求解最好的方式是求解约化密度矩阵方程。
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