Recent content by 122520253025

  1. 1

    Waves: When do we use $e^{i(-kx + wt)}$ as opposed to $e^{i(kx - wt)}$

    Sorry - corrected that: Here is the corrected version: Thanks very much. When we consider the movement of peaks is fits and spurts when two waves of opposite directions are coming with some phase difference, we differentiate to find a maximum by taking the derivative with respect to x and then...
  2. 1

    Waves: When do we use $e^{i(-kx + wt)}$ as opposed to $e^{i(kx - wt)}$

    Thanks very much. When we consider the movement of peaks is fits and spurts when two waves of opposite directions are coming with some phase difference, we differentiate to find a maximum by taking the derivative with respect to x and then use implicit differentiation to find the derivative with...
  3. 1

    Waves: When do we use $e^{i(-kx + wt)}$ as opposed to $e^{i(kx - wt)}$

    Is this the solution that the two are exactly equivalent? I think i might have found the solution. That the two are exactly equivalent: Because $e^{i(-kz + wt)} = cos(-k(z- (w/k)t) = cos(k(z-vt)), and $e^{i(kz - wt)}= cos(k(z- (w/k)t) = cos(k(z-vt)).$ This is rather interesting, because in...
  4. 1

    Waves: When do we use $e^{i(-kx + wt)}$ as opposed to $e^{i(kx - wt)}$

    Both of these represent waves moving in the $+x$ direction. I have seen both used in Howard Georgi's book on waves and oscillations, but it has not been explained which is used in which circumstances. What is the difference between the two and when do we use which? Thanks in advance.
  5. 1

    Is Homogeneous Line Universe Possible in Higher Dimensions?

    Thank you very much. I shall definitely look closely at the Milne universe, and have been wanting to learn general relativity for a while, so this is a great beginning point. You reply seems to make sense in that if space time was curves then of course the curvature can be adjusted to imply...
  6. 1

    Is Homogeneous Line Universe Possible in Higher Dimensions?

    I have been trying to work out the solutions to a homogenous line universe using special relativity, and have found that, as per special relativity, one of the solutions is $$v = tanh(d)$$, where $v$ is the velocity and $d$ is the distance of recession of galaxies in this one dimensional case...
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