Sonoluminescence is the light produced from the collapse of bubbles in water under ultrasound. Schwinger proposed a physical mechanism for sonoluminescence in terms of photon production due to changes of quantum electrodynamic energy contained in a collapsing dielectric bubble. However there are critics for the Schwinger’s proposal that his estimate of the Casimir energy involved is inaccurate and there are several papers to propose its missing term. In this paper, the author presents another possible component of sonoluminescense which is due to Cherenkov radiation from tachyon pairs generated in a collapsing bubble

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It is known the Euler formula: For even zeta values, ζ(2n) = α n π 2n , where α n is a rational number. It seems natural to conjecture that we can have ζ(n) = α n π n for every n, but this paper gives the negation of this conjecture for odd zeta values.

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