Correct me if I am misunderstanding conceptIn the relm of semiconductor physics it is helpful to think about "potential barriers". Inside the transistor with no voltage present on the terminals there is no current flow because the charge carriers, called "electrons" and "holes" cannot flow in large numbers across these "potential barriers in any significant quantities. There may be some quantum tunneling through those barriers, but the currents are very small -- like femto or ato amperes.
When we introduce a positive power supply across the collector and emitter, we now have a source of charge carriers (electrons). As we supply small amounts of current to the base, the voltage across the BE-junction rises, and at the same time one of the potential barriers is lowered. Then just like a waterfall the charges have enough energy to get over the potential barrier and roll downhill like a thundering avalanche.
That's the heuristic description of what is going on. You seem like you don't want to get deep in the weeds with quantum mechanics and mathematics that will make your head spin.
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by Jake Hertz
by Jake Hertz