Emergence and Expansion of Cosmic Space as due to the Quest for Holographic Equipartition
Emergence and Expansion of Cosmic Space as due to the Quest for Holographic Equipartition
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发表时间：
2012-06
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通讯作者：
T. Padmanabhan
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作者：
T. Padmanabhan
全息原理的一种可能的解释是空间大块区域的自由度数与边界表面上的自由度数相等。我们知道，在任何静态时空的等势面上，这样的等式都以均分定律N_{bulk}= N_{sur}的形式存在。在宇宙学背景下，德西特宇宙遵循同样的全息均分。我认为，在一个空间区域（已经出现）的表面自由度和总体自由度之间的差异通过一个简单的方程dV/dt = (N_{sur} - N_{bulk})驱动了宇宙的加速膨胀，其中V是以普朗克单位表示的哈勃体积，t是以普朗克单位表示的宇宙时间。这个方程再现了宇宙的标准演化过程。这种方法为研究空间和宇宙学的出现提供了一种新的范式，具有深远的意义。
One possible interpretation of the holographic principle is the equality of the number of degrees of freedom in a bulk region of space and the number of degrees of freedom on the boundary surface. It is known that such an equality is maintained on equipotential surfaces in any static spacetime in the form of an equipartition law N_{bulk}= N_{sur}. In the cosmological context, the de Sitter universe obeys the same holographic equipartition. I argue that the difference between the surface degrees of freedom and the bulk degrees of freedom in a region of space (which has already emerged) drives the accelerated expansion of the universe through a simple equation dV/dt = (N_{sur} - N_{bulk}) where V is the Hubble volume in Planck units and t is the cosmic time in Planck units. This equation reproduces the standard evolution of the universe. This approach provides a novel paradigm to study the emergence of space and cosmology and has far reaching implications.