Equation Walkthrough
Step through the derivation of C(ρ) interactively. Each step adds one piece to the equation and explains why it's there.
Step 1 of 6
Step 1: Start with density
ρ — the local mass/energy density
Everything begins with density. In a galaxy, ρ is the baryon density profile. In chemistry, it's the number density of particles. The same starting point everywhere.
Density is the universal input to the coherence function.
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Full Equation
C(ρ) = tanh(γ · log(ρ/ρcrit + 1))
The Coherence Function