Which Equation Should Be Used for QC 8.7 in Zwiebach?

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Homework Help Overview

The discussion revolves around a specific problem from Zwiebach's text, specifically QC 8.7, which involves equations related to string theory concepts. Participants are trying to determine the appropriate equation to use for this calculation.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to use an equation from the text but questions its validity. Other participants suggest alternative equations and modifications, leading to discussions about unit consistency and the appropriateness of substitutions in the equations.

Discussion Status

Participants are actively engaging with the problem, offering alternative approaches and clarifying the reasoning behind suggested modifications. There is a productive exchange of ideas, although no consensus has been reached on the best method to proceed.

Contextual Notes

There is mention of specific equations from the text and concerns about unit consistency in the context of different systems of units, which may affect the validity of the proposed substitutions.

ehrenfest
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ehrenfest said:
Is there another equation I should use?
You should use equations (3.88) on page 54 but replace the equation for G with the equation for [itex]\alpha'[/itex]. Then follow the technique on that page.
 
Sorry, can you explain what you mean replace the equation for G with the equation for alpha' (8.63 I assume)? G and J/hbar do not even have the same units.
 
ehrenfest said:
Sorry, can you explain what you mean replace the equation for G with the equation for alpha' (8.63 I assume)? G and J/hbar do not even have the same units.
There are three equations labeled (3.88). Replace all of the P subscripts with S. Toss out the equation that defines G and use equation (8.63) in its place. Express [itex]\sqrt{\alpha'}[/itex] in terms of [itex]{l}_S, {m}_S,[/itex] and [itex]{t}_S[/itex].
 
OK. I see why that works. My only concern is how do you know that you can replace the p subscripts with s subscripts. Those relations are only true in the Planckian system of units, right?
 

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