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arXiv · 1301.1997

The digital randomness of black-body radiation

Sandor Varro
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Abstract

The statistical properties of the fractional part of the random energy of a spectral component of black-body radiation have been analysed in the frame of classical Kolmogorovian probability theory. Besides the integer part of the energy (which satisfies the well-known Planck-Bose distribution), the realizations of its fractional part (related to 'round-off errors') has been represented by binary sequences, like z = 0.001011000010.... It has been shown that the binary variables realized by the 0-s and 1-s at different positions are independent. From the condition of independence the original distribution of the fractional part z can be recovered. If these binary variables have the same distribution, then they describe a temperature-independent random energy, whose expectation value is just the zero-point energy. Thus, the zero-point fluctuation can be considered as a physical representative of an ideal random number generator.

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Sandor Varro. 2013-01-09. The digital randomness of black-body radiation. https://doi.org/10.1088/1742-6596/414/012041

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