It's a great concept but we know stars run on fusion and will eventually 'run out of fuel'. We can see this through supernovae, although going out with a bang isn't the only way stars die. Also we can more or less see the birth of newer stars, especially in nebulae where there is lots of gases that make up stars. Although I am pretty sure the part about the stars can't be true, we have not yet have enough information on black holes and wormholes to disprove the possible link they have. Again it's a great concept but the star bit is unrealistic, but there is always a possibility that black holes can use some of their energy to maintain a stable wormhole. The universe is a strange place and anything we haven't already disproved can be true, no matter how strange.
-Luke
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