I look forward to the answers. The real difference is that physics is a science, and maths is not. To everyone, that is, except the astronomers, astrophysicists, and cosmologists, who can take the distinctions very seriously. One can then ask, why one doesn't use rigorously proven methods. I think what your professor meant by saying; "The difference between math and physics is that physics describes our universe, while math describes any potential universe" is that the study of Pure Mathematics provides a deeper and more substantial understanding of reality than physics. Unphysical terms appearing in mathematics applied to physics. On the other hand, the greatest of the mathematicians have been great physicists.
Generally considered a relationship of great intimacy, mathematics has been described as "an essential tool for physics" and physics has been described as "a rich source of inspiration and insight in mathematics". Mathematics is the genus and Physics is the species thereof. As you read through the different forms of physics, it should become obvious that there is some overlap. But to represent any physics concept in theory we use math. Seems right to me. While such methods can be proven to work in some cases, there is typically no proof for the model one is studying. Mathematics does not need Physics but the latter does need the former. that the perturbation must be small and that the results are valid in the limit that the perturbation goes to zero. The current "real" universe is described as having 4 dimensions (3 spatial, 1 temporal). The Dirac delta function is invented by physicists in a hand-wavey way, and then mathematical physicists develop it more fully with the theory of distributions. So there's some kind of symbiosis between math and physics. To learn more, see our tips on writing great answers. By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy. Many theoretical physicists may have to dabble in some mathematical physics to make progress. So you can say Math describe any possible universe. In addition to the math versus physics, I would be attuned to where he mentions hypotheses based on bias. The computational methods you can use when doing mathematical physics can be very non-rigorous.
Thanks for your contribution.
There is much back and forth between the two. In quantum mechanics this involves questions like “how exactly are operators defined, on which sorts of spaces are defined, when can you use them safely”, etc. Means math can represent any virtual universe, which you can imagine. so if these were possible alternatives to the equation that we settled on, would they not be hearts of other possible universes? In order to make sense of it, scientists have focused their attention on one or two smaller areas of the discipline. Do I need HDMI-to-VGA or VGA-to-HDMI adapter? An example in plasma physics would be: “Under what conditions does the Vlasov-Poisson equations have a unique solution? realizes the same equations can be derived using the Lagrangian field theory formalism, which theoretical physicists use to develop quantum field theory, and then... On and on and on. But in math it's only true because of the way they define the symbols '1', '+', '=', and '2'. to support a stance. site design / logo © 2020 Stack Exchange Inc; user contributions licensed under cc by-sa. The answer is simple: The more rigorous a method is, the less powerful it usually is, as also mentioned by Carl Bender is this video: https://www.youtube.com/watch?v=LYNOGk3ZjFM. People often talk about the "unreasonable effectiveness of mathematics" — a phrase coined by the physicist Eugene Wigner in 1960 to capture the idea that mathematics describes the pauli.uni-muenster.de/~munsteg/arnold.html, Feature Preview: New Review Suspensions Mod UX. It only takes a minute to sign up. Mathematical physics focuses on the mathematical structure itself. Mathematics is the part of physics where experiments are cheap." That I think is what he means by physics describes our universe. The Physicist will tell you its matter all the way down, that reality in essence is matter, and that all matter is ultimately reducible to a particle which is indivisible; the materialist approach. It is also possible that what your professor was trying to tell you, was that majoring in math would give you a "broader" base than majoring in physics. Not definitive, sure, but you can find factors like team sport, notability, etc. With the added advantage that one of these universes is the"real" universe that physics studies. Have professional philosophers contributed to other fields in the last 20 years? Feynman had a negative reaction to math, his initial major at MIT, when he asked the professors what they did with higher math in later parts of math major and the answer was teaching more people to do that in the future. How do I fix a consistent micro-timing error? Experimental work is a huge and significant part of physics. Are there logical arguments for/against this? So, epsilon is not small, it is equal to 1. We observe a system (eg: Universe), collect data and then figure out entities and relationships. This hypothesis is offered as an explanation for fine tuning, for instance, and it has been given even more credibility (I'm told) by recent findings at the LHC. None of this is to argue you to physics (I'm even more applied than physics), because if you like math and are good at it, then fine. However, what is best for YOU will likely have a lot to do with your physique, skills, aggressiveness, enjoyment, etc. With a math base, you could easily continue into chemistry, biology, engineering, or any other science. A subreddit to draw simple physics questions away from /r/physics. Difference Between Physicist & Mathematician Comparing Physicists to Mathematicians. Any example of a model without observation? What does "class classname* funcname(void) "mean in c++? Is basketball "better" than wrestling. Well, we can certainly create the idea or construct of something that doesn't exist in this universe. At first he switched all the way to EE. Mathematics is the study of maths, phyics the study of physics, there really is no nice absolute clean line drawn between the two, and no nice set of rules for saying what either one is (we can usually say what it isn't). Make a minimal and maximal 2-digit number from digits of two 3-digit numbers. Here are some examples: Using renormalization to make physical predictions with quantum field theory is theoretical physics. Are analogies between ethics and mathematics philosophically coherent? What about with magnetic fields?” Another good example is trying to rigorously derive the gyrokinetic equation using “modern” Lie transform methods.
Math majors don't. If I tell you 5 miles per hour, that's physics. What would you call a person who is willing to give up their life for others? Finally in the context of what is a better major, I think that a lot of that comes down to YOU, not to which major is better. Responsibilities of Physicists vs. Mathematicians.
But is 1+1 = 2 true? Maybe. However, I think you get more benefit by being charitable and seeing what insight the fellow was talking about.
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