Recent content by Michael King

  1. M

    Gauge Theory - Having Trouble with V' = 0

    Homework Statement Show that it is always possible to pick a gauge so V' = 0. Homework Equations We weren't given any, but I've been working with: (a)\vec{E} + \frac{\partial\vec{A}}{\partial{t}} = -\nabla{V} (b)\vec{A'} = \vec{A} + \nabla{\psi} (where \psi is a scalar function) (c)V' =...
  2. M

    I would like a hint on how to begin a vector calculus problem

    Homework Statement I am just confused about how the question is structured, and I am unsure on how to get the relevant information to answer the question: Find the angle between the surface normal directions of r^{2} = 9 and x + y + z^{2} = 1 at the joined point (2,-2,1) Homework...
  3. M

    Absorb all sort of matter and radiations and still not releasing out?

    yea my bad, first year Astro doesn't give us much to play with, and as I had just finished my exams, my knowledge just left my head. Sorry about that :P
  4. M

    Absorb all sort of matter and radiations and still not releasing out?

    yea, basically it is an object that is a possible end result of a star's life. The stars that become black holes are typically 3+ Solar Masses. What happens is that when the star stops producing energy, its gravity causes it to collapse in on itself. The black hole is the extreme case: it...
  5. M

    What are the Consequences of Varying Planck's Constant?

    I suppose there are, but provided Planck's constant is just that, a constant, albeit a different number, then everything would still react the same way with respect to one another, just on a larger or smaller scale. The universe in general would be a different place. It can be seen as the...
  6. M

    Derivation of Escape Velocity Inconsistency

    still doesn't change the fact that one is a root 2 factor out compared to the other though.. Deriving the Schwarzschild radius isn't the problem, regardless of method. I am just curious as to which escape velocity to use. I am assuming from Newtonian Mechanics, that the velocity there is...
  7. M

    Derivation of Escape Velocity Inconsistency

    ah so the first derivation was for orbital velocity, whereas the second was for escape velocity... I hate it when people don't label things correctly, or when I cannot read.
  8. M

    Derivation of Escape Velocity Inconsistency

    Hey, I'm a first year Astrophysics student, and in revising the Schwarzschild radius, I wanted to derive it and so I started by deriving the escape velocity from first principles, then rearrange to get the Schwarzschild Radius. Child's play, really. However, depending from where you come from...
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