The idea you mentioned, where every black hole is connected to a single white hole representing the Big Bang, is an intriguing concept. However, it is important to note that this idea falls into the realm of speculation and is not currently supported by mainstream scientific theories or empirical evidence.
In general, black holes are regions of spacetime with extremely strong gravitational forces, from which nothing, including light, can escape. On the other hand, white holes are hypothetical objects that are the reverse of black holes, expelling matter and energy outward instead of pulling them in.
While black holes and white holes are theoretically allowed solutions in general relativity, there is currently no compelling evidence to suggest that they are connected in the manner you described. The Big Bang, as described by the prevailing cosmological model, is a singularity—a point of infinite density and temperature—where the universe is thought to have originated.
That being said, it is worth noting that scientific theories are subject to change and revision as our understanding evolves. Speculative ideas like the one you proposed can inspire further exploration and research, but they require rigorous testing and empirical evidence to become established scientific theories.
If you are interested in reading more about alternative cosmological ideas, including different views on black holes and the Big Bang, you may find value in exploring scientific literature, books, or research papers written by reputable physicists and cosmologists. However, it is crucial to differentiate between well-established scientific theories and speculative concepts when delving into these subjects.