Hello, I read your post, "Determining the positivity or negativity of a Bitcoin public key," and I find this topic quite interesting. I would like to know what exactly you have discovered on this matter so far, if it’s not too much trouble.
1.Bitcoin public keys have both positive and negative values.
2.Tracking Bitcoin private keys theoretically involves factoring large numbers, but the numbers are so large that it is practically impossible.
3.If there were an app capable of distinguishing between the positive and negative aspects of a public key, all private keys could theoretically be found in just 5 minutes. However, no method to achieve this has been discovered so far.
Here is a site where you can study the basics of positive and negative values:
https://royalforkblog.github.io/2014/09/04/ecc/Good luck!