Blackbody radiation and the dimension of space.

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Background Radiation: Cosmic

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A thermal radiation cavity is used as a probe to test for a possible deviation of space from exact tri-dimensionality. The authors consider a D-dimensional cavity assuming that such derivation would be reflected in the observed discrepancy between the standard theoretical prediction and experimental values of the radiance and the spectral distribution. Corrections to the Stefan-Boltzmann radiance and the Planck spectrum are calculated, which turn out to be proportional to (D-3), as expected. For a small cavity there are further corrections to these formulas, coming from its size and shape. Considering then cosmic background radiation, i.e., the largest possible cavity, the authors get from the reported experimental errors for the radiance and the spectrum, a bound |D-3| ⪉ 10-3. This value is considerably larger than the bounds recently obtained using other precisely measured phenomena as probes.

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