从黑体辐射定律看紧致额外维的大小
The Size of Compact Extra Dimensions from Blackbody Radiation Laws
摘要：
本文将Stefan-Boltzmann和Wien位移定律推广到由4个非紧维和$D-4$紧维组成的$D$维流形$ R^{1,3}$ x $T^{D-4} $ .电磁场被假定为遍及所有的紧凑和非紧凑的维度。特别地，总辐射功率变为$ R(T) = σ_B T^4 + σ_D (a) \, T^D $，其中$a$是紧凑额外维度的大小。对于弦论预测的$D=10$和M理论预测的$D=11$，结果与$a$高达2 x $10^{-7}$ m的实验数据一致。
英文摘要：
In this work we generalize the Stefan-Boltzmann and Wien's displacement laws for a $D$-dimensional manifold composed by 4 non-compact dimensions and $D-4$ compact dimensions, $ R^{1,3}$ x $T^{D-4} $. The electromagnetic field is assumed to pervade all compact and non-compact dimensions. In particular, the total radiated power becomes $ R(T) = σ_B T^4 + σ_D (a) \, T^D $, where $a$ is the size of the compact extra dimensions. For $D=10$, predicted from String Theory, and $D=11$, from M-Theory, the outcomes agree with available experimental data for $a$ as high as 2 x $10^{-7}$m.
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