What that means

You cannot write half a record.

You cannot make half a distinction.

The now either distinguishes 0 from 1 for a degree of freedom, or it does not.

There is no intermediate state. No partial measurement. No fractional record.

The minimum is one. The scale of one is ℏ.

Any measurement — any act of writing a record — involves at least ℏ of action.

You cannot extract information from the pre-state without at least ℏ.

Not because your instruments are too crude.

Because the break has a minimum size.

The now writes in quanta scaled by ℏ because ε is the minimum, and ε cannot be subdivided.

Each record carries two minimum costs.

A thermodynamic cost: k_BT ln 2, from the Landauer bound.

And a quantum cost: ℏ, from Stone’s theorem.

Both trace to Axiom B. One record, one ε, one minimum.