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What are the current directions of mathematical physics? Which of these directions is more promising?
Mathematics includes pure mathematics, applied mathematics, computing technology (related to computers), statistics and so on.

Physics includes theoretical physics, applied physics, nuclear physics, condensed matter physics, astrophysics (astronomy-related), physical electronics (electronics-related), optics and optical information processing (communication-related), microelectronics technology (electronics-semiconductor-related), mechanics (a first-class discipline parallel to physics, which is divided into many small disciplines below), physical chemistry (chemistry-related), acoustics and heat (engineering-related).

Which one has a future depends on how you do it. Theoretically, it is suitable for further study, scientific research and education abroad; Engineering application is suitable for related work.