Student or Learner
What does the following mean:
This theory holds promise as an answer to this question
Not a teacher only a native.
The sentence means that the theory is potentailly right to answer the question.
For example, if a scientist had just come up with a new theory to prevent a disease, then you could say 'it holds promise'. The theory has been tested and seems to work, though it hasn't been proved conclusively.
Another example could be if you were testing a car to see if it would reach 100mph. If you reached 90mph with ease, you could say the car holds promise that it could reach 100mph.
Hope this helps.