Hermes signature: angular-frequency scaling

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Although the comment refers to dx/dt, the body returns AngularFrequency×x. This is a linear scaling of one supplied value, with no earlier state or time difference used to estimate a derivative. A derivative interpretation needs a stated model in which that product represents a rate.

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Original context

}

// FApollo: F_Apollo(x) = φ^x + φ^{-x} (Mathematics - golden ratio)
func FApollo(x float64) float64 {
	return math.Pow(PHI, x) + math.Pow(PHI, -x)
}

// FHermes: F_Hermes(x) = dx/dt approximation (Communication - rate of change)
func FHermes(x float64) float64 {
	// Velocity function: assume x represents phase, return angular velocity
	return AngularFrequency * x
}

// FHephaestus: F_Hephaestus(x) = ∫∫ K(x,y) dy dx (Engineering - double integral)
func FHephaestus(x float64) float64 {
	// Simplified: K(x,y) = xy, ∫∫ xy dy dx from 0 to x
	// = ∫ x·(x²/2) dx = x⁴/8
	return math.Pow(x, 4) / 8.0

FHermes: F_Hermes(x) = dx/dt approximation (Communication - rate of change)

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