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Our forums are full of physics and mathematics. One cannot talk about the former without getting into calculations and mathematics sooner or later: Hilbert spaces, differential operators and linear algebra all over the place. Students of both faculties have normally a similar motivation, foundation and interests in both - more or less. Yesterday I saw an article about the Cauchy horizon. Is that physics or is it mathematics already? The boundaries are not clear. So what is the difference?

Here is an article how mathematics often looks like:

https://link.springer.com/article/10.1007/s00012-020-00667-5

Although it began with a real world example, it quickly developed in something which isn't directly applicable to the real world. However, it describes how mathematics works, and in how far those strategies won't work in physics. Usually, let's see whether the string theorists will ever find something which at least is a bit of evidence.

So for all students who are curious about that difference, have a look at the article. There is no need to understand or even read it in detail: just have a look to get an impression. It might also help to decide whether you are more of a physicist or more a mathematician.

And here is an example for an article in physics:

https://www.sciencedirect.com/science/article/pii/S2405428320300022

although it might not be representative (too easy)

.

Here is an article how mathematics often looks like:

https://link.springer.com/article/10.1007/s00012-020-00667-5

Although it began with a real world example, it quickly developed in something which isn't directly applicable to the real world. However, it describes how mathematics works, and in how far those strategies won't work in physics. Usually, let's see whether the string theorists will ever find something which at least is a bit of evidence.

So for all students who are curious about that difference, have a look at the article. There is no need to understand or even read it in detail: just have a look to get an impression. It might also help to decide whether you are more of a physicist or more a mathematician.

And here is an example for an article in physics:

https://www.sciencedirect.com/science/article/pii/S2405428320300022

although it might not be representative (too easy)

.

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