Peculiar Acceleration - Understanding an Equation

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Discussion Overview

The discussion revolves around an equation presented in a physics article, specifically addressing the transition of terms between two equations (Eq. 10 and Eq. 11) and the implications of a potential typo in the exponent.

Discussion Character

  • Technical explanation, Debate/contested

Main Points Raised

  • One participant expresses confusion about the transition of ##r_s^2## from the denominator in Eq. 10 to the numerator in Eq. 11.
  • Another participant suggests that the change can be understood by comparing terms, noting that ##G## in Eq. 10 has been replaced by a numerical expression involving ##r_s^4##.
  • Some participants propose that there is a typo in the exponent, suggesting it should be -2 instead of the current value.
  • A later reply acknowledges the typo suggestion, indicating that it clarifies the confusion.

Areas of Agreement / Disagreement

There is no consensus on whether the transition of terms is due to a typo or a legitimate mathematical manipulation, as some participants assert a typo while others focus on term comparison.

Contextual Notes

The discussion does not resolve the nature of the transition between equations, leaving open questions about the assumptions and definitions involved in the equations.

Arman777
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I was reading an article and I saw this expression,
Screenshot from 2022-02-07 14-53-29.png


I don't understand how the ##r_s^2## in the denominator (in Eq.##10##), becomes the numerator in the Eq.##11## ?

Article is here: https://arxiv.org/abs/0708.1132
 
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You can work out what's happened by comparing terms. ##G## in equation (10) has been replaced by some largely numerical expression times ##r_s^4##.
 

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