The digital randomness of black-body radiation

Varró, Sándor (2013) The digital randomness of black-body radiation. JOURNAL OF PHYSICS-CONFERENCE SERIES, 414 (1). ISSN 1742-6588

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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, they describe a temperature-independent random energy, whose expectation value is the well-known 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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