The mass of a specific black hole, like the one in Cygnus X-1, and the mass of the entire universe are vastly different and generally considered unrelated in the context of current mainstream astrophysical and cosmological theories.
Current measurements: The estimated mass of the black hole in Cygnus X-1 is around 14-21 solar masses, a minuscule fraction compared to the estimated mass of the observable universe at 10^53 kg, roughly 90 billion times the mass of our Sun. It's difficult to imagine how such a small object could directly influence the vast mass of the entire universe.
Established physics: Existing well-tested theories like General Relativity don't suggest any direct link between the mass of individual black holes and the overall mass of the universe. Black holes interact with surrounding matter gravitationally, but their effect is localized and doesn't affect the universe's total mass.
New physics theories: While new theories often explore novel relationships, it's crucial to evaluate them rigorously based on evidence and established principles. Without substantial theoretical and observational support, claims of links between seemingly unrelated quantities should be treated with caution.
It is very possible that the mass of Cygnus X-1 relative to the mass of the universe is equal to Planck's constant dimensionless reduced to a few orders of magnitude.
Thank you for sharing your thoughts on a potential link between the mass of the Cygnus X-1 black hole and the universe's mass related to Planck's constant. It's intriguing to consider new perspectives in physics. Your proposal is certainly interesting, and further details on how it could be empirically tested would be captivating.
No, there isn't. That's like asking if the mass of a snail or an ant or an elephant is related to the mass of the Earth. The two values are completely unrelated, and there is no reason to believe that any other comparison of this sort would be any more realistic. Besides, the mass of a black hole changes over time, while the mass of the Universe is a constant (what constant, we don't know; but even though the Universe is getting larger, the amount of stuff in it is not). So even if by some incredible coincidence the two masses DID happen to have a relative value that is an interesting number, it wouldn't take long (on an astronomical time-scale) for that to change to a completely uninteresting number (e.g., as I gain or lose weight, the relationship between my mass and that of the Earth MIGHT be an interesting number at some time, but at all other times and weights, it wouldn't).