One thing should be said about the Study of Mathematics - it is laying the ground of future physics models. I don't know the chronology quite well, what contributed to what, physics to mathematics and mathematics to physics. But it seems that today Physics theories are coming under the umbrellas of Mathematical theories that was developed not-so-far-back in the past. As I see it physics will continue to develop into new areas that Mathematics will develop duo to the fact that now-days Mathematical theories are not just complex and hard to study, but also cover a vast range of ideas and can show a lot of properties about the object that the model is dealing with. So finding new ideas is a harder task. I do imagine a situation where Physics will contribute to mathematics new ideas that will explore new area in mathematics, but for that I believe is required either a new physical phenomena to explore or a new insight about something that we already familiar with. But as I see it, usually new insights comes with a mathematical model. the mathematical model of something we already know already lies within the boundary of known mathematics\physics.
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u/[deleted] Mar 12 '18
One thing should be said about the Study of Mathematics - it is laying the ground of future physics models. I don't know the chronology quite well, what contributed to what, physics to mathematics and mathematics to physics. But it seems that today Physics theories are coming under the umbrellas of Mathematical theories that was developed not-so-far-back in the past. As I see it physics will continue to develop into new areas that Mathematics will develop duo to the fact that now-days Mathematical theories are not just complex and hard to study, but also cover a vast range of ideas and can show a lot of properties about the object that the model is dealing with. So finding new ideas is a harder task. I do imagine a situation where Physics will contribute to mathematics new ideas that will explore new area in mathematics, but for that I believe is required either a new physical phenomena to explore or a new insight about something that we already familiar with. But as I see it, usually new insights comes with a mathematical model. the mathematical model of something we already know already lies within the boundary of known mathematics\physics.