In 1948, Shannon did not merely define entropy. He gave it a unit — the bit. The bit is what made information theory engineerable. Entropy as a concept describes uncertainty. Entropy measured in bits becomes a quantity you can compute, compare, optimize, and build systems against. Every communication system built since 1948 — every modem, every codec, every compression algorithm, every error-correcting code — works because the bit exists as a countable, fungible, domain-independent unit. The prior paper in this series (HOWL-MATH-14-2026) defined processing entropy Hp — the work required for a processor to reduce an element to an actionable One for a given goal in a given context. It established the state space, the reduction chain, dissolution, cascade, and the bridge to Shannon's framework. It deliberately left Hp without a concrete unit. The formalism was complete. The measurement apparatus was not. This paper provides the unit: the op. The op is to processing what the bit is to transmission. Shannon counted bits. This paper counts ops. With a countable unit, processing entropy becomes a measurable quantity — not a theoretical construct but a number you can observe, record, compare across processors, track over time, and engineer against. The op completes the measurement apparatus that the prior paper's formalism requires.
Geoffrey Howland (Mon,) studied this question.