The Sun and the transcendental world of binary stars
The gravitation theory states that a binary with an orbital frequency ν emits gravitational waves at the double frequency and higher harmonics. This implies if the wave with the frequency νG is acting on the sample of binaries for a long time, then (a) a lack of binaries with frequencies near the half-frequency, νG /2, and corresponding harmonics (nonstable orbits) and/or (b) excesses at frequencies close to a “perfect” incommensurability with νG/2 and harmonics (stable orbits), would be created. The frequencies of stable orbits are supposed to be close to the near-commensurability with πνG/2 and νG /2π, where the π number stands out as an “ideal” factor providing the best antiresonance of binaries.
The statistical analysis of frequencies of 5774 close binary systems of Galaxy (CBS) with periods P less than 10 d is based on the calculation of the resonance-spectrum which shows the best commensurable frequency of a given set of binaries but with the π factor accounted for. It is found that the CBS distribution is modulated by the frequency νG = 104.4(5) μHz, with this effect being mostly pronounced for superfast and compact rotators – cataclysmic variables and related objects (CV). The frequency νG, within the error limits, coincides with the “mysterious” frequency ν0 = 104.160(1) μHz discovered earlier in the power spectrum of oscillations of the Sun and in the luminosity variations of some extragalactic objects. This supports the “coherent cosmic oscillation” of the Universe with the ν0(νG) frequency. The new astrophysical phenomenon explains naturally the CV “gap” at frequencies ≈ πνG/3 (P ≈ 153 min) and maxima at adjacent frequencies ≈ πνG/2 and ≈ πνG/4 (P ≈ 102 min and ≈ 204 min). The remarkable and “mystical” role of the transcendental number π in the world of binary stars is emphasized, together with the conundrum of the physical nature of the “universal” ν0(νG) oscillation.
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