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| Tags: 120, coefficients, expansioncontraction, golden, gravity, phi, quantum, ratio, riccati, transition, via, yield |
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#1
August 22nd 06
posted to sci.physics
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Quantum Gravity Via Expansion-Contraction 12.0: Riccati Coefficients Yield Expansion-Contraction Transition at Golden Ratio (Phi)
Let's look at the Riccati Differential equation:
1) dy/dt = A(t) + B(t)y + C(t)y^2 and let's choose B(t) = 1, A(t) = exp(kt), C(t) = -exp(-kt), k 0. Then (1) becomesL the souloutioun is: a.COTH(a(t+c)).exp(kt)+(1-k)/2.exp(kt)=y. and a.TANH(a(t+c)).exp(kt)+(1-k)/2.exp(kt) =y. with a=sqrt((1+(1-k)^2/4)) 
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