Alfred Maddenstein writes:
Ultimately again all that boils down to a massive trust in the others better judgement and being impressed by the numerous repetitions of confidence in that judgement expressed by those others while suspending any own scrutiny.
It does not depend much on trust anymore. Countless physics students have learned to follow the math. There are plenty of tutorials on the subject that allow even more people to grasp the basics. Some people do simply accept things without being able to check they math, but even those people can look for indicators that reliably point to quackery.
For example, I know where real science turns up first, and it is not in vanity published books or on web pages. In my experience, science promoted in that way is invariably ignorable.
Extraordinary claims require extraordinary proof. Sorry, but that's the way it is.