Recent content by diracbracket

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    How Can Light Have Mass Yet Fail to Escape a Black Hole?

    Does a photon have a mass? Yes it does. Energy and mass are the same thing, which is the reason physicists coined the term mass-energy. Historically "mass" has been the name given to an amount of mass-energy when it is in the form of matter, i.e. atoms. In this case it is measured in kg...
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    Find the result of this integration

    Let me see, \newcommand{\mean}[1]{{<\!\!{#1}\!\!>}} \newcommand{\braket}[2]{{<\!\!{#1|#2}\!\!>}} \newcommand{\braketop}[3]{{<\!\!{#1|\hat{#2}|#3}\!\!>}} \braket{\phi}{\psi} \equiv \int \phi^*(x) \psi(x)\,dx This LaTeX code doesn't work when I hit 'preview post'. There's no way to check it's right.
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    Find the result of this integration

    That is differentiation under the integral sign, actually. The answer is log(4/3). How do you do mathematical formulae on the messageboard?
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    Relativistic Apple: Feel Gravitational Effects?

    Thanks guys. I get the gist of it. Someday I hope I'll be able to re-read Pervect's reply and understand it. I'm working though track 2 of Wheeler, Misner and Thorne at the moment. It's been mostly only differential geometry so far. In the meantime here's another one I've long wondered about...
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    Relativistic Apple: Feel Gravitational Effects?

    Hi, everybody. Can anyone settle this question that I've been puzzling about? If an object with a small rest-mass, say, an apple, were to whiz very close past you in space with a relative velocity so great that its mass, as measured in your own inertial frame, was comparable to the rest-mass...
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