The Size of Compact Extra Dimensions from Blackbody Radiation Laws

Abstract

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 $R(T)={\sigma }_B{T}^4+{\sigma }_D(a)T^D$, 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.

5 RevTex pages. Results unchanged. Text improved. References updated. Version matches the published one in Physica A

References in corpus (2)

• Radion-Higgs mixing effects on bounds from LHC Higgs Searches
• Finite size corrections to the blackbody radiation laws

Cited by in corpus (4)

• Entropy and complexity properties of the d-dimensional blackbody radiation
• The biparametric Fisher-Rényi complexity measure and its application to the multidimensional blackbody radiation
• Biparametric complexities and the generalized Planck radiation law
• Black body radiation in a model universe with large extra dimensions and quantum gravity effects