The line is it has to have a sound mathematical basis, and convincing evidence for the universe being like that and no other way. For example with the Higgs Boson discovery, we had speculation first, then a mathematical basis since the 1960s, and just recently gained enough evidence from the LHC in Switzerland to confirm it as a discovery.
Now, we have great evidence of that kind for dark matter and black holes. But parallel universes and wormholes and string theory are firmly in 'speculation'. It's bad that the program you watched didn't communicate you you which parts are accepted science and which are speculation. They definitely play up the 'woohoo' for TV and popular media, but I assure you it's not like that for people actually being paid to do science.







