CLAUDE OPUS:

**For cognitive work specifically:**

w = ∫ R(t) · v(t) dt

Where R(t) is the “resistance” at time t (how hard the problem is at each moment) and v(t) is your velocity through the problem space. Sometimes you’re moving fast through easy parts, sometimes grinding slowly through difficult sections.

Or thinking about state changes:

w = ΔS · ln(Ω₂/Ω₁)

Where you’re moving from one state of understanding (Ω₁) to another (Ω₂), and ΔS represents something like the “semantic distance” or complexity difference.

**For transformational work:**

w = ∑ᵢ μᵢ · δᵢ · τᵢ

Where each transformation step i has:

- μᵢ: the “mass” or inertia of that concept

- δᵢ: the distance it needs to move

- τᵢ: the “friction coefficient” of that particular transformation

**Or maybe most fundamentally:**

w = ΔI · C

Where ΔI is the change in information state and C is the context-dependency factor (how much the surrounding framework resists or assists the change).