servo error y_k-

Tap Th-229 nuclear below: the Allan curve drops and the old one stays as a grey ghost.

Nuclear Clock Lab

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Clock under test

Stories

Controls

Servo lock to the atomic reference (off = free-running oscillator)

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Experiments

1. Simulated Allan deviation vs the analytic law

Average 24 independent simulated runs and compare with sigma_y(tau) = sqrt(sigma₁² T_c/tau + floor²). In the white-noise region the log-log slope must be -1/2 (locked) or +1/2 (free-running).

2. Compare two clocks at the 10^-18 level

Clock A = current settings. Clock B: . How long must the two be compared before a fractional frequency difference of 1×10^-18 can be resolved?

Sensitivity to fundamental constants (hypothesis)

Clock comparison table

Th-229 row is a projection with assumed N and T, not a measured clock.

The science