Study hard what interests you the most in the most undisciplined, irreverent and original manner possible.
There is no harm in doubt and skepticism, for it is through these that new discoveries are made.
To decide upon the answer is not scientific. In order to make progress, one must leave the door to the unknown ajar ajar only.
We find that the statements of science are not of what is true and what is not true, but statements of what is known with different degrees of certainty: "It is very much more likely that so and so is true than that it is not true".
To do any important work in physics a very good mathematical ability and aptitude are required. Some work in applications can be done without this, but it will not be very inspired. If you must satisfy your "personal curiosity concerning the mysteries of nature" what will happen if these mysteries turn out to be laws expressed in mathematical terms (as they do turn out to be)? You cannot understand the physical world in any deep or satisfying way without using mathematical reasoning with facility.
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