Editing Openai/67b08411-d3d8-800d-af10-3d564ddd4847 (section)

==== Mathematical Model of the Energy Flow Cycle ====

The fundamental principles governing the electrical and magnetic dynamics of the Optic Dynamo-Generator can be described mathematically.
# Induced EMF in the Copper Disk (Faraday’s Law for a Rotating Disk) V=BrωV = B r \omegaV=Brω where: - VVV is the induced voltage, - BBB is the magnetic field strength from the coil banks, - rrr is the radial distance from the center to the periphery, - ω\omegaω is the angular velocity of the magnetic flux relative to the disk.
# Magnetic Flux Interaction with Coil Banks Φ=BA\Phi = B AΦ=BA where: - Φ\PhiΦ is the magnetic flux through a coil bank, - AAA is the area of the coil loop, - BBB is the magnetic field strength.
# Regeneration and Power Amplification The continuous cycling of energy results in an exponential power gain under resonance conditions: Pout=Pin×e(kf)P_{\text{out}} = P_{\text{in}} \times e^{(k f)}Pout=Pin×e(kf) where: - PoutP_{\text{out}}Pout is the amplified output power, - PinP_{\text{in}}Pin is the initial input power, - kkk is the energy coupling coefficient between the disk and coil banks, - fff is the system’s resonant frequency.