Zwiebach Equation 9.80: Why M^2 = -p^2?

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Homework Statement


Can someone explain to me why in the world Zwiebach sets M^2 = -p^2 in this equation? Even in natural units, that doesn't seem right.


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The Attempt at a Solution

 
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Equation (9.80) is just equation (2.72) page 25, with c set to 1.
 
I see. Thanks.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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