The theory seems to have no basis in fact.

这一理论似乎没有事实根据。

《牛津词典》

This theory seems to have no basis in fact.

这一理论似乎没有实际的根据。

youdao

This is a common fallacy which has no basis in fact.

这是一个没有事实依据的常见谬误。

youdao

And for some, proof that fear of flying has some basis in fact.

FORBES: Fear of Flying

But experts say it's a common misconception that has no basis in fact.

CNN: Regional accents thrive in U.S. -- but is that a good thing?

The appeal also said there was "no basis in fact or in law" justifying terms under which Pistorius must be supervised by a probation officer and a correctional official.

NPR: Pistorius Lawyers Appeal Bail Conditions