"Ain't no big thing. Just gotta multiply the wave function by it's complex conjugate and you have the probability density function of all given quantum states." Love this. As a physics student, I love everything Pony- and Physics- related. So this one definitely blows my mind.
College physics? If so, I'm very curious as to how enjoyable it is (any aspect of it-- I'm desperate). I'm still in high school and currently participate in every science related event I can attend (state competitive programs, college events high schoolers can attend, etc.) and have yet to discover what broad topic I like the most-- biology, chemistry, or physics (I can't even get more specific than that...). I'm no amateur at any of them, but I can't figure out which one I should really get involved in just because I've enjoyed all 3 so much :C.
I'm familiar with fields that involve both (biochemistry, biophysics, etc.) but it's more of the issue that I'm stuck on what path I should choose of all those pathways. Heck, even if I get it down to engineering, you have chemical engineering, biochemical engineering, aerospace engineering, nuclear engineering, etc. And that's only looking at engineering fields! My point is: I have no idea what way I should go in college, and that's why I'm inquiring about what you think about physics and what you're taking/have taken. Maybe then I might have an idea on what I should do, but until then, I'm stuck in a state of perplexity.
Personally (for reference, I am currently in my junior year as a double major, math primary, physics secondary; don't get me started on how long I took to settle on that), I particularly like physics because it's right where abstract mathematical logic meets the real world. I'm generally more interested in the theoretical basis of knowledge than applications per se. Learning about, for example, how Newton's Laws can be generalized in the Lagrangian and Hamiltonian formulations of mechanics (Classical Mechanics) and how (apparently) all electric and magnetic phenomena can be described in terms of six differential equations and, more to the point, how those equations were deduced from experiment (Electrodynamics) was really interesting. Looking at relativity and quantum theory is even more exciting, insofar as you get to see how we can deduce general principles about how the universe works, principles which tend to run counter to our intuition but can't be rationally doubted once you understand the logic behind them (Intro. Modern Physics, Intro. Quantum Mechanics).
So, yeah, I guess that probably doesn't help much. I will mention that, at least for me, taking all the freshman introductory sequences (General Physics I&II, General Chemistry I&II, General Biology I&II…) gave me a better idea what I actually wanted to pursue and what I was satisfied just dabbling in. I would also recommend, if you can juggle it, "soft" science intro courses, especially General Psychology, for a broader perspective on how the principles of science apply to research in general, and some of the problems that come along with that sort of scope.
My thoughts so far are to double major in 2 of fields that I'm both great at and interested in, but the same problem arises: I love knowledge, and I love all aspects of science that I've been exposed to so far. How can I limit it down to just 2 branches? Hopefully my first year in college will shed some light, (like you've said) and I'll learn what I'm truly great at and what is merely a strength. Also, a challenge? Should I say "Challenge accepted," or run screaming into the night when it chasing after me like a steam-roller? xD
Man, the topics you introduced in that first paragraph... I have a feeling they would make me tear my hair out one moment and then make me laugh in understanding the next... if I ever did. I've always been a curious kid, and I'm glad my teachers noticed that and kindled that passion for learning (as they should. Makes me glad that the science division of my high school is actually intelligent and good at what they do). Out of curiosity, how tough are the college concepts and workload? Granted, they're obviously tough, but I'm asking for your opinion on it. If it's something you think is able to learned just by reading a course book on it, I would be more than willing to try and learn the concepts of it (it's obviously a lot harder than teaching yourself physics your sophomore year of high school, but I'm just curious). Don't be afraid to break my brain-- it only makes me want to work harder in order to understand.
Just remember that everything is founded on the concepts discovered in mathematics. If you have a solid understanding of analysis and statistics, physics and chemistry are not difficult. I find physics the most interesting, and it probably has the broadest theoretical scope. Chemistry, on the other hand, is really good if you want to start working with applications early on.
Just remember that everything is founded upon the concepts discovered in physics. So if you want a foundation the the broadest possible scope, pick physics. ^^ But in all honesty biology and chemistry are cool too.
If you want to uncomment the dividebyzero- Part, I have a little extra-file called "boom.h" that displays a nuke in ASCII. Wrote it some time ago to be finally able to properly react to Div/0 -errormessages.
If only more people understood that :C. World hunger? Science can solve it in time. More efficient and safer energy sources? Science can solve it in time. Space travel? Let the speculation commence...
Science can do anything you want it to do, no matter how far out it seems. After all, for how long did our ancestors think flying was impossible, only for the Wright Brothers and the other pioneers of aviation to show that it was indeed possible for man to fly? Heck, who would've thought we'd enter space and travel to the moon, accomplishments that occurred even when this belief was still popular. Our race is persistent and daring-- who knows how far these traits will take us? (well that's fan-flippin-tastic. I wrote some kind of grand statement about human potential and science. How much sleep did I get last night?)
Based upon what you have been saying, I highly recommend taking an epistemology class. It's a philosophy class, but it deals primarily with what knowledge is exactly and how to obtain i. It will give you a good mental foundation upon which you can build whatever facet of science you please. At the very least, it gets a humanities credit out of the way. =/