Artemis signature: scalar damping surrogate

Read the equation

The reference ∇·(D∇x) is a diffusion operator acting on a spatial field. The body returns −0.1x, based on a harmonic-mode analogy, without a grid or neighboring values. That result is linear damping of a scalar; its equivalence to diffusion holds only for a specifically identified spatial eigenmode and eigenvalue.

Terms & definitions

How it works

Read the definition from its right-hand expression to the quantity on the left. Its surrounding source records the intended input, state, or parameter context. Where the source leaves an operation unspecified, this page preserves that gap.

Assumptions & limits

Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.

Original context

func FDionysus(x float64) float64 {
	// Return magnitude of creative oscillation
	omega := 2.0 * math.Pi / BasePairsPerTurn
	c := cmplx.Exp(complex(0, omega*x)) * complex(math.Sin(x), 0)
	return cmplx.Abs(c)
}

// FArtemis: F_Artemis(x) = ∇·(D∇x) (Perception - diffusion operator)
func FArtemis(x float64) float64 {
	// Simplified: D·d²x/dx² ≈ D·(-x) for harmonic
	D := 0.1 // Diffusion coefficient
	return -D * x
}

// FHera: F_Hera(x) = Σ_k w_k·x_k (Integration - weighted sum)
func FHera(x float64) float64 {
	// Integrate contributions from all families
	sum := 0.0

FArtemis: F_Artemis(x) = ∇·(D∇x) (Perception - diffusion operator)

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