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Hey, /sci/. I am a physics major and just finished my fourth semester. I am one class behind, due to campus issues, so I haven't taken "Introduction to Modern Physics" yet. This is fine, since I've already worked this all out, but it's important that you know that I haven't gotten to that class yet.
Anyway, I get great grades and all that jazz, but it feels so empty, and I feel like I forget what I've learned over the semester. At least most of it. For instance, I did phenomenal in my Fluids and Thermal physics course, but I don't know if I'd be able to get above a 40 if I had to take a test on it today, and the courses I had a tough time with, like Electricity and Magnetism, I imagine I'd be completely fucked if I had to talk about what I learned.
I believe (or pretty much know. The alternative is that I can't hold on to scientific information, which I'd rather not consider) this is because I don't really do physics stuff during my breaks. Due to some things particular to my life, I had naive expectations of how college would work, and I was dumb enough to keep the idea that I would learn all that I needed to be a good physicist in my classes, without any outside information-seeking. For a while. Then I was lazy enough to ignore it when I knew it wasn't going to work like that. But enough is enough, and I've still got two more months 'til I'm back, so I figure I have a lot of time to really get into a good mindset, and relearn what I should already know and whatnot, along with other important things. Only problem is, I don't know where to start. My interest in physics (and science in general) came incredibly recently, and I had actually never had a physics course until I was about 18. So I am lost when it comes to really getting into a scientist mindset. Which is why I'm coming here.
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Having not taken complex analysis yet, can anyone help me understand Euler's identity on a more fundamental level? I get that it represents rotation through the complex plane, and I understand how that can be represented as a sum of a real cosine and an imaginary sine, but the structure of the exponential form isn't something I can grasp intuitively. Why does it invert it's sign along intervals of pi? What exactly does taking something to a complex power mean in am algebraic or numerical sense? What's the relevance of Euler's number? I've been thinking about the identity a lot lately for whatever reason, and the geometric meaning of it clicked for me, but I want to understand just how the exponential form is equivalent to the trigonometric form.
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According to Schrodinger, the cat is both dead and alive because no one can observe the result and determine it. But what about the cat? Can it not observe itself? Does it not keep track of whether or not it's alive?
If this is true, then it is observation that determines state of reality, right? If the cat dies, it can't observe itself, so is dead. If the cat doesn't die, it continues to observe itself, and so is alive. Even if we cannot determine the solution, the cat can.
If observation determines reality, then we can define a "universe" as "the observed surroundings of a conscious individual". Therefore, we all live in separate "universes" from one another. Two people observing each-other would mean their two universes are coinciding. This has to occur in a dimension transcendent to our own, a "multiverse". But who is to observe that? Some sentient, transcendent being, right?
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Would it be even remotely possible to genetically engineer a bacteria that can not only survive, but also thrive on Luna? I used to think this was impossible, but seeing how well they can adapt has made me change my mind. This is not evolving them to terraform Luna, its simply to have them exist and stay existing there.
I was thinking you could take a form of bacteria (probably Yeast since they adapt very quickly) and expose them to gradual temperature extremes. Start at 30 degrees C, and then move the temperature down to 29 and then up to 31. The ones that cannot survive get killed, but the ones that can survive. Once the population builds up again, swing the temperature from 28 to 32 and so on until you have conditions like those on Luna. I have yet to identify anything on Luna that could sustain them chemically though, and the radiation from the Sun would be a massive obstacle, as well as the lack of water.