DAVIS GEOMETRIC / ENGINEERING STUDY
HALCYON / Measurement bench
REDUCED APPARATUS · REV A
SIMULATE THE INSTRUMENT BEFORE BUILDING IT
Can we tell what really changed?
Apply a known force, simulate a noisy measurement, and fit the mass, stiffness and damping separately. Start with no inertia change. Then challenge the instrument with a different suspension, a calibration error, or an explicitly injected effect.
Preparing simulation…
Watch the suspended mass respond.
Calculated 0.25 s electrostatic pulse, thermal motion and sampled readout noise. Motion in the apparatus drawing is enlarged; chart values are unscaled. Support vibration is included in the sweep below, not this isolated pulse.
Fit the whole response.
41 frequencies, 0.15–2 Hz. Both in-phase and quadrature displacement are fitted. Acquisition times exclude settling. A resonance shift alone does not establish a mass change.
What reaches the specimen?
This is a one-port passive resonator calculation. It does not implement a transmon, SU(2) links, a 3D electromagnetic field solution or a mechanism for changing mass. Heating is a steady-state estimate through the specified thermal conductance. The radiation-force estimate assumes the leaked power intercepts the specimen.
Does the conclusion survive new noise?
Repeat the fit with independent noise seeds. Injected changes and gain errors stay fixed. The statistical interval measures noise; the wider interval also includes the entered independent calibration uncertainty for each state.
Recovered parameters & uncertainty
| Parameter | Reference fit | Active fit | Active statistical ±1σ |
|---|
Intervals are local Gaussian approximations conditional on this model and the stated noise. Gain uncertainty is not identifiable from displacement alone. A good fit can still have a biased mass estimate.