the fact that we are in the Photon Belt of Alcyone twice in every nearly 26,000 years IS PROOF we orbit it. And also PROOF it is a central sun and much older than we are. Quoting: Nobody in Particular
None of that is true. There is no "Photon Belt of Alcyone". We do not orbit it every 26,000 years. Alcyone is part of a young cluster called the Pleiades. Those stars are much younger than the Sun.
[link to www.naic.edu
We can also show that the Sun cannot orbit Alcyone by use of Keplerís law in general form tells us that the period (P) of such an orbit of radius a should be
P=2 pi sqrt(a^3/G(M1+M2))
Where G is the gravitational constant and M1 is the mass of the Sun and M2 is the mass of Alcyone. With the mass of Alcyone being 10 solar masses and its distance being 370 light years and G being 0.0000000000667 m^3/kg/sec we can plug the values into the formula to find P, the period, with a few conversions. One light year is 9,454,254,955,500,000 meters and the mass of the Sun is 1,990,000,000,000,000,000,000,000,000,000 kg
a = 1,749,000,000,000,000,000 meters
(this is a highly eliptical orbit)
Gives a period of 380,000,000,000,000,000 seconds and with 31,536,000 seconds per year gives a period of 12.6 billion years, the age of the universe for one orbit. Nowhere close to 26,000 years you claim. Gravitational influences from other stars would have knocked the Sun out of such an orbit anyway. So the Sun does not orbit Alcyone.