The phrase "accepted theories" is correct and usable in written English.
It can be used to refer to theories that are widely recognized and endorsed by the scientific community or a specific field of study.
Example: "In the field of physics, accepted theories such as relativity and quantum mechanics have shaped our understanding of the universe."
Alternatives: "recognized theories" or "established theories".
Most accepted theories that the sins of Cain and Ham had cursed an entire race.
One of the most widely accepted theories was that he was guided by some sort of remote control, probably electrical.
There are no accepted theories yet on why high doses of the anemia drugs seem to make cancer worse.
Thus, Schmidt's discovery and interpretation of quasars challenged many previously accepted theories of the origin and age of the universe.
Once in office, however, he said that he would use it only to invoke mainstream and widely accepted theories of the constitutional power of the president.
Almost all the accepted theories that we use in the physical and biological sciences are not open to different interpretations depending on someone's opinion, internal beliefs, gut feelings, or lobbying.
This is especially true in his case, because he is not popularising accepted theories of physics; he is putting forward a speculative new foundation for the whole of theoretical physics that challenges much accepted wisdom.
In psychology, the Many Labs Replication Project, supported by the Centre for Open Science, an institute of the University of Virginia, has re-run 13 experiments about widely accepted theories.
The notion that we can affect the resilience of our brain by investing in it early on, banking mental health as if it were a 401(k) — to borrow an analogy from Sherrie All, another psychologist I met with — hinges on the widely accepted theories of brain reserve and cognitive reserve.
Even more worrisome to many economists -- who, like Alan Greenspan, believe it is "far more important to be right than quick" -- both the Democratic and Republican bills contain items that owe more to traditional party wish lists than generally accepted theories about effective ways to kick-start the economy.
Herschel discovered a galaxy, HFLS 3, that was forming stars at a rate more than 2,000 times that of the Milky Way even though HFLS 3 was observed only 880 million years after the big bang; accepted theories of galaxy formation could not explain how such a massive and active galaxy could have formed in so short a time.
