The proposed method, explaining the 11-year solar cycle, is based on an unusual theory, according to which some fundamental physical constants, including the speed of light in vacuum c, which we consider universal for the entire Universe, have different values in the spheres of influence of other stars, planets or space objects. Analyzing this theory, I assumed that for any two space objects that have gravitational attraction and revolve around their power centers in accordance with Kepler's laws, their speeds of light c1 and c2, and gravitational parameters 1 and 2 are interconnected by the following relationship:
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According to this relationship, the speed of light in vacuum for the Sun can be calculated by the following formula:

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where c = 299792458 m/s is the speed of light in vacuum for the Earth, S ≈ 1.3271∙1020 m3/s2 is the gravitational parameter of the Sun, E ≈ 3.9860∙1014 m3/s2 is the gravitational parameter of the Earth (the geocentric gravitational constant).

Since the Sun, without doubt, is a powerful source of electromagnetic radiation (and light is part of the electromagnetic spectrum), it is logical to assume that this radiation can be directed to the center of our galaxy (the Milky Way). If we assume that the solar electromagnetic radiation has a pulsating character due to discrete movement of the Sun along its galactic orbit, and if we assume that the Galaxy's core is capable of reflecting electromagnetic waves, then, knowing the distance from the Sun to the Galaxy's center aS ≈ 2.4976∙1020 m, and knowing the speed of light cS for the Sun, calculated by the formula (2), we can approximately calculate the time of movement TS of a solar electromagnetic wave to the Galaxy's center and back. Schematically, such a movement may be represented as follows:
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The resulting value 11 years almost coincides with the average period of observed solar activity that allows us to confidently determine its cause: the 11-year solar cycle is determined and synchronized by the time of movement of the solar electromagnetic wave reflected from the Galaxy's core and returned back to the Sun.

Of course, the formula (3), derived by me, is approximate. Since the real movement of the Sun around the galactic center occurs probably along a complicated elliptical trajectory; the orbital speed of the Sun is not constant; various obstacles can be present, appear and disappear on the path of the solar electromagnetic wave in the interstellar space, consequently the period of solar activity cannot be constant in time and constant in intensity. This probably explains the maximums and minimums of solar activity, calculated and observed in past historical periods.

It is still difficult to say whether it is possible to use the proposed method to calculate the activity cycles of other stars, planets or space objects. If this methods is correct, then using the relationship (1) which, according to the theory under consideration, is universal and knowing the speed of light c for the Earth, the geocentric constant E, the semi-major axis aO and the gravitational parameter O of the space object that interests us, we could calculate its speed of light and its period (frequency) of orbital electromagnetic radiation by the formulas:

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For example, for Jupiter, which has a powerful magnetic field, the calculation using these formulas gives the following values: the speed of light cJ = 1.3962∙1010 m/s ; the period of orbital electromagnetic radiation (relative to the Sun) TJ = 111.53 seconds; the frequency fJ = 0.009 Hz. An experimental detection of electromagnetic radiation with such a period (frequency) in the Solar system could be an important evidence of the validity of both the method described in this work, which explains the 11-year cycle of solar activity, and the theory, which asserts that some fundamental physical constants have different values in other worlds, which, in turn, can open up new opportunities for us to further explore nature.

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It is curious that if the obtained value of the speed of light cS ≈ 1.44∙1012 m/s for the Sun is approximately equal to the speed of gravity in the sphere of influence of the Sun, then this value more reliably explains the stability of the Solar system.

Since the formula (2) does not contain numerical coefficients, it is difficult to accuse me of numerology. I understand that skeptics are unlikely to agree with the statement that the speed of light may be different in the spheres of influence of different space objects. I understand that this is a very serious statement. That is why it would be important to test the formulas (4), for example, to calculate the distances of some Cepheids to the Galaxy's center. It is difficult for me to do this, since I am not a professional astronomer, and I do not know, for example, how to convert the magnitude to a gravitational parameter. Can someone help and give me useful links?