Editing Jaycall/KillingVectorApproach (section)

==Special Quadratic Case==
Jay: On a [[User:Tohline/Appendix/Ramblings/T3Integrals/QuadraticCase#Special_Case_.28Quadratic.29|new accompanying wiki page]] I have begun to investigate how our system behaves in the special case of <math>q^2 = 2</math>.  I have added a pointer/link to this new page &#8212; and a separate pointer/link to the parallel investigation that you have told me you are conducting &#8212; on the page containing a table of contents to my [[User:Tohline/Appendix/Ramblings|various research ramblings]].  I have not yet actually gone to the page that details your analysis because, at least for a while, I prefer for our trains of thought to remain independent of one another.  However, in an effort to simplify the comparison that we ultimately will need to make between our independent analyses, I strongly recommend that you write your expressions for the scale factors, etc. ''for the special case of <math>q^2=2</math>'' in terms of a variable, <math>\Lambda</math>, defined such that,
<div align="center">
<math>
\Lambda \equiv \biggl[1 + \biggl(\frac{2\lambda_1}{\lambda_2}\biggr)^2\biggr]^{1/2} = \cosh(2\Zeta) .
</math>
</div>
By the way, if you don't agree that <math>\sqrt{1+(2\lambda_1/\lambda_2)^2}</math> equals <math>\cosh(2\Zeta)</math>, please let me know!--[[User:Tohline|Tohline]] 19:49, 11 June 2010 (MDT)

:: Joel: I have checked and agree that in the <math>q^2=2</math> case only, the above relation among <math>\Lambda</math>, <math>Z</math> and the T3 coordinates is correct. --[[User:Jaycall|Jaycall]] 14:58, 10 July 2010 (MDT)


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