Individual completion · analog bench

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Einstein’s 1949 demand, scored as data. Complete remainder → one decay instant T*. Unread remainder → a waiting-time law. Reading more of it must shrink the uncertainty.

Schema result

Holds

Analog only — not a nucleus

Is the hypothesis accurate?

In the analog, yes. A complete individual state fixes one first-exit time. Withholding the remainder recovers a waiting-time spread. Revealing more of the true remainder shrinks both variance and error to the true instant. Dummy variables do not. That is exactly Einstein’s kinetic-theory relation, made numerical.

It does not show that a real nucleus, or nature, is built this way. Rank-1 is supported as a schema. Nature still needs a characterized analog whose background you can actually read.

H1

Pass

Repeatability

Same phases, eight integrations. Spread 0.0000. The law has no primitive chance.

H2

Pass

Individuality

120 different remainders, 120 distinct T*. Std 10.91. The unread structure actually moves the instant.

H3

Pass

Statistical shadow

Unread phases spread T* (mean 17.85, n=120). Exponential is a guide, not a requirement — KS vs exp is poor, and that is allowed.

H4

Pass

Conditional narrowing

Axiom A6. Variance 77.2 → 0.0 as all eight phases are revealed. This is the kill test, and it passed.

H5

Pass

Dummy control

Reading a vector that is never fed to the ODE does not collapse variance (49.7 → 58.5). Narrowing is not a generic curve.

H6

Pass

Noisy readout

Phase measurement error grows the prediction error. A lab analog needs a clean enough diagnostic of S⊥.