Answer

If it helps build your worldview, then it has value. If you enjoy it, then it's just for fun, and that's also perfectly fine. And if it's in order to know what to answer, that too has value. There may perhaps be room to view this as Torah study, but I very much doubt it. 
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Questioner:
Regarding what the Rabbi said about seeing this kind of study as Torah study, I was reminded of a lecture I heard from the Rabbi in which he raises the question, "What counts as Torah study?" and admits that it's actually hard to find a truly satisfying answer.
I asked this question to several rabbis, and the answer that seems most reasonable to me, despite its simplicity, is that what counts as Torah study is a book written by a rabbi who wrote it in order to understand God's will—whether it's a book of philosophy or Jewish law or other subjects. The Rabbi may say that the book's cover, or whether the author wore a kippah or not, is irrelevant and shouldn't make a difference—but the point is that it's really not the cover that matters, but the purpose for which the book was written. When Aristotle, for example, wrote his book, he did not intend to reveal God's will, whereas when Maimonides wrote The Guide for the Perplexed, that was indeed his intention, and that is where the difference lies.
In my opinion, this answer still needs more editing and precision than I presented here now, if it is even close to the truth.
I would be glad to hear the Rabbi's opinion.
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Rabbi:
That's close, but not enough. A person could think that writing a mathematics book is his way of discovering the Holy One, Blessed be He, or even modern dance. There's no escaping reference to the contents and not only to the intentions. In that lecture, which is also an article on the site, I distinguished between Torah in the person and Torah in the object, see there. If you search the site, you'll find quite a few discussions of this. Here are three of them:
 
See here:
https://mikyab.net/%D7%A9%D7%95%D7%AA/%D7%94%D7%91%D7%97%D7%A0%D7%94-%D7%91%D7%99%D7%9F-%D7%AA%D7%95%D7%A8%D7%94-%D7%91%D7%97%D7%A4%D7%A6%D7%90-%D7%95%D7%AA%D7%95%D7%A8%D7%94-%D7%91%D7%92%D7%91%D7%A8%D7%90/
 
And here:
https://mikyab.net/%D7%9B%D7%AA%D7%91%D7%99%D7%9D/%D7%9E%D7%90%D7%9E%D7%A8%D7%99%D7%9D/%D7%94%D7%92%D7%91%D7%95%D7%9C%D7%95%D7%AA-%D7%91%D7%99%D7%9F-%D7%A7%D7%95%D7%93%D7%A9-%D7%9C%D7%97%D7%95%D7%9C-%D7%91%D7%A1%D7%A4%D7%A8%D7%99%D7%94/">https://mikyab.net/%D7%9B%D7%AA%D7%91%D7%99%D7%9D/%D7%9E%D7%90%D7%9E%D7%A8%D7%99%D7%9D/%D7%94%D7%92%D7%91%D7%95%D7%9C%D7%95%D7%AA-%D7%91%D7%99%D7%9F-%D7%A7%D7%95%D7%93%D7%A9-%D7%9C%D7%97%D7%95%D7%9C-%D7%91%D7%A1%D7%A4%D7%A8%D7%99%D7%94/
 
And here:
https://mikyab.net/%D7%9B%D7%AA%D7%91%D7%99%D7%9D/%D7%AA%D7%92%D7%95%D7%91%D7%95%D7%AA-%D7%91%D7%A2%D7%99%D7%AA%D7%95%D7%A0%D7%95%D7%AA/%D7%9E%D7%93%D7%A2%D7%99-%D7%94%D7%98%D7%91%D7%A2-%D7%95%D7%AA%D7%95%D7%A8%D7%94/