Suppose we want a resonant dynamic model that follows the simple harmonic wave equation:
d2Rdtr2+R=0\frac{d^2 R}{d t_r^2} + \lambda R = 0dtr2d2R+R=0
with \lambda a constant parameter related to the resonance strength.
Calculate the second derivative:
d2Rdtr2=ddtr(dRdtr)=ddtr[sin((trt0)())()]\frac{d^2 R}{d t_r^2} = \frac{d}{d t_r} \left( \frac{dR}{d t_r} \right) = \frac{d}{d t_r} \left[ -\sin(\omega (t_r - t_0) \phi(\psi)) \cdot \omega \phi(\psi) \right]dtr2d2R=dtrd(dtrdR)=dtrd[sin((trt0)())()] =cos((trt0)())(())2=2()2R= - \cos(\omega (t_r - t_0) \phi(\psi)) \cdot (\omega \phi(\psi))^2 = -\omega^2 \phi(\psi)^2 R=cos((trt0)())(())2=2()2R
So, the differential equation becomes:
d2Rdtr2+2()2R=0\frac{d^2 R}{d t_r^2} + \omega^2 \phi(\psi)^2 R = 0dtr2d2R +2()2R=0
This is the classical harmonic wave equation with sinusoidal solutions that we have been using.
6.b.4 Interpretasi Parameter ()\phi(\psi)()
()\phi(\psi)() can be thought of as amplitude modulation or effective frequency based on the state of consciousness.
By considering \psi as a function of adaptive consciousness time, namely =(tr)\psi = \psi(t_r)=(tr), then the resonance function becomes:
