Recent content by yenchin

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    I Can Newtonian Gravity be Thought of as a Theory of Curved Time?

    There is a whole lecture on this with all the mathematical details explaining why we can interpret Newtonian spacetime as curved:
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    Schools I'm taking astrophysics but there is no AP department.

    Do you have the option to study physics, if not astrophysics? If you are looking at the undergraduate level, I don't think there is too much advantage in specializing too much into astrophysics. After you have your physics degree, you can then --- if you still wish and there's a mean to do it...
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    I Inside Black Holes: Unraveling the Kerr Metric Structure

    I don't remember if this can be found in the book --- but O'Neill's text "https://www.amazon.com/dp/0486493423/?tag=pfamazon01-20" has a very detailed study of Kerr geodesics.
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    I Book Suggestions: Learn Einstein's General Theory of Relativity

    https://www.amazon.com/dp/0387260781/?tag=pfamazon01-20 (Foster and Nightingale) is pretty nice as an introduction to the subject, perhaps supplement it with a more standard text like Carroll's.
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    Cosmos w/ Carl Sagan: Mind-Bending Experience! Neil deGrasse Tyson's 2013 Show

    Tyson is definitely a good choice. After all: Carl Sagan's influence on Neil Tyson.
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    Schwarzschild Radius Explanation?

    Michell-Laplace dark star. Note the crucial difference though: for dark star light can leave its surface much like a ball can leave Earth's surface -- but it will fall back down due to the strong gravity. In GR, light cannot ever leave the horizon.
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    Newton's second law is so intuitively obvious

    The book "Physics for Mathematicians: Mechanics I" by Spivak spends a great deal of Chapter 1 just to discuss Newton's laws of motion. You may be interested.
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    Programs Math major to take intro physics: calculus or non-calculus based?

    LOL :biggrin: Circuit was THE reason why I decided not to study physics for my A-Level (I got pretty bad experience when learning it during high school science -- and I soldered my finger too. That was painful.), and as a result also not majoring in physics in university, and majored in math...
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    Literature on differential geometry, suggestions?

    Try "Riemannian Manifolds: An Introduction to Curvature" by John M. Lee.
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    Conservation of Energy in General Relativity

    This article was already mentioned above. :-)
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    Research paper citation question.

    Just look up papers in the journal you are planning to send to and see how it's done.
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    Conservation of Energy in General Relativity

    A related nice read: http://www.preposterousuniverse.com/blog/2010/02/22/energy-is-not-conserved/
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    What is the Definition of Continuity in Minkowski Space?

    The beautiful [math] book "The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity" by Naber has an appendix that discusses topology for Minkowski spacetime.
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    For the ADM alternative:http://arxiv.org/abs/gr-qc/0604064

    It's a subject of 700+ pages book... https://www.amazon.com/dp/0521467020/?tag=pfamazon01-20
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    Dolphins have names they respond to

    Here's an interesting related TeD talk: http://www.ted.com/talks/denise_herzing_could_we_speak_the_language_of_dolphins.html
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