Recent content by romsofia

Cecile's and her book "Analysis, Manifolds and Physics" is what made me really want to get into the mathematics of physics. I love the way she presents information in her books. She was one of my idols in this field (next to Bryce DeWitt).

Well, the harsh reality is that some people just can't perform under the big lights. This includes competitions such as this. This isn't just for tests, but this also occurs in sports where someone is really good in practice, but then come game time, they choke. My suggestion for competition...

In case you'd like some online sources for this in the future, here is a link: (for the circular orbit case) https://sites.science.oregonstate.edu/physics/coursewikis/GGR/book/ggr/ocircle.html For general quick discussion on orbits...

Yup, as someone who works on the back end on one of the bigger companies in the LLM space, we have been hiring "tutors" so we can mass train on math, coding, physics, chemistry, etc. Essentially, they come up with problems and see if they can stump our model, and if it stumps the model, they...

I would suggest trying (I believe @fresh_42's favorite technique?) "Weierstrass Substitution". https://math24.net/weierstrass-substitution.html

First, let me say that you do not need to "forget" Mach's principle, let things inspire you as they are. Just know when talking to scientists (and especially on this forum) you need to have more than inspiration. You need a more operational understanding of terms to convey your idea into...

Maybe the picture on the first page of this PDF will help you visualize it: https://www.lboro.ac.uk/media/media/schoolanddepartments/mlsc/downloads/HELM%20Workbook%2029%20Integral%20Vector%20Calculus.pdf Or for those who can't click on it, it is the following:

As I've gotten older, I realize some people are really good at just accepting that's how something works, and using it accordingly. I think these people can easily accept things as definitions. When I'm presented with a definition, I often struggle to motivate why something is a definition, and...

Not a textbook on the math, but the appendix of this book gives you enough to see what topics you need to cover a little more in depth: "Introduction to Quantum Fields in Classical Backgrounds" by V. F. Mukhanov and S. Winitzki (which they uploaded a draft for free...

https://sites.science.oregonstate.edu/physics/coursewikis/GDF/book/gdf/stokes.html is a non "proof" version, but if you're giving an hour-long talk, probably going to need to throw some proofs in there for filler.

I see you have a lot of mathematical methods so I'll recommend this youtube series as I enjoy the lecturer's approach to a lot of topics (although can be hard to hear): Sadly, he has passed away. He used to have problem sets/solutions on his website but they recently removed access to it...

Your uni accepts 40 out of 100 people who apply. These ones accept 4 out of 100 at the low end, and 14 out of 100 at the high end. Your university accepts from ~x10 to ~x3 the number of students these programs do. So, clearly the competition is higher, the student body is more competent, and...

I think the first chapter of this book will help you understand, as the first paragraph does address your question as a negative, and he goes on to explain the different ideals: https://www.arielcaticha.com/my-book-entropic-physics But note that Caticha has his own interpretation of QM, but at...