Steve, if I understood your question, it would make it a ternary (Sun+SiriusA+SiriusB) or a quadruple system (sun+dual+SiriusA+SiriusB), multiple systems are pretty common, it seems that multiple star systems have been observed up to a septuple system.
What is so difficult about the hypothesis of the sun belonging to a multiple system is that it has not been proved by direct observations or gravitational modeling. probably, the astronomer who would give such evidence would win a Nobel prize, so there has not been a lack of effort in that sense.
I would favor the hypothesis of a primordial black hole being the dual of the sun (an invisible black hole by the size of an apple), although this should have been explored by professional astronomers. The gravitational effects should be detectable.
As I understand ‘your’ statement you may be correct about the possibilities of either (Sun+dual+SiriusA with SiriusB included only because it is relatively close to Sirius B) or the possibility of (Sun+Black hole B) and furthermore more likely correct about those two or even another possibility that has yet to be imagined to explain why Babaji would have been satisfied with Sri Yukteswar and Paramahansa Yogananda’s many references to this phenomenon. And many of his followers are most likely not dreaming up an explanation for the history, architecture and archaeology evidence that corroborated the presence of massive evidence of intelligence far surpassing our own civilization at many times in the past.
The mind and therefore science has many explanations for physical and evolving recognition of historical facts. Yet it continues to come up with more and more plausible explanations for all aspects of life and that is what seems most likely here as well. That is why a Nobel Peace Prize has not yet been given out to those who perhaps deserve it most. And most likely also why Babaji will smile about such prizes from human beings and smile 😊 at mccoy’s wry sense of humor which comes from the convoluted folds of his mind to explain the conjectures from the primordial 🥣 soup of the past. 😝
