<p>I always like math and science, I always think about it. I have made analogy of event horizon and electron orbital and have tried to unify them (of course fail =P). I try to mix different colour of solution and observe brownian motion. I imagine what would happen at the center of the Earth, where gravity is, theoretically, zero. I have tried to "catch" light into a box and "study" them when I was young. I always play with numbers, I have invented a way to predict the multiplier in front of the any term in the polynomial (x1+x2+x3+...+xn)^a in less than 30 seconds. I proved all the formulas in physics class before I use it (except some "fundamental laws" that are absolutely cannot be proven so far). I accidentially find (lim x-> 0 (Arctan x/ x)= 0), which is interesting to me. I electrolysis salt water to see how the reaction rate changes with ion concentration. I try to eliminate the term "pressure" in physics because of some strange reasons. I question why space and time have to coexist. I wonder if there is any physical law that mathematics is not able to interpret. I also wonder if there is any math that is absolutely useless. I try to change the number system to see if we can explain physics better... ... ...</p>
<p>I like science, but that is not the only reason I love Caltech, it is because I want to be tortured: I want to be proven wrong and stand up again countless times before I can prove I actually love it regardless of how painful it is; because I always want to fullfill my curiosity.</p>
<p>However, my grade definitely can't get me into Caltech (you can search my thread if you are curious). So, is there any good suggestions that I can get the same kind of education as in Caltech?</p>
<p>If possible, I also want a school that is about the same size as Caltech (don't mind if it is a little bit bigger); accessible professors; and, the most important one, a community that is truely dedicated to knowledge.</p>