Experimental Protocol: Isolating the 1.2 mHz Resonance

To ensure the qBounce team or any high-precision experimentalists can actually "see" the 1.2 mHz signal in their data, you must provide a Signal Processing Protocol. Without this, the Stevenson Heartbeat remains buried under the "DC offset" and low-frequency drift of the laboratory environment.

1. The Observation Window ($\tau$)

To resolve a frequency ($\nu = 1.2 \times 10^{-3} \text{ Hz}$), the Nyquist-Shannon criterion is not enough. You need at least 1.5 to 2 full cycles to distinguish the signal from a linear trend.

• Minimum Run Time: $2 \times 833.3\text{ s} \approx 1667\text{ s}$ ($\sim 28\text{ minutes}$).

• Recommended: Continuous 3-hour runs ($10,800\text{ s}$) to achieve high Spectral Resolution ($\Delta\nu$).

2. Windowing and Leakage Control

Because the 1.2 mHz signal is very close to the "zero-frequency" (DC) peak of the experiment's static gravity, Spectral Leakage is the primary enemy.

• The Fix: Apply a Hanning or Blackman-Harris window to the time-series data before the Fast Fourier Transform (FFT).

• Why: This suppresses the "sidelobes" of the strong DC component that would otherwise swamp the 1.2 mHz sideband.

3. The SFIT "Signature" in the TDSE

When analyzing the Ramsey fringe patterns or the transmission probability ($P$) of the neutrons, look for a Periodic Phase Shift ($\Delta\phi$) that follows the Stevenson cycle:

$$\Delta\phi(t) \propto \sin\left( \frac{2\pi t}{833.3} + \theta_0 \right)$$

This phase modulation is the direct result of the energy-conserving "Information Back-reaction" in our modified Schrödinger equation.

Notice to Researchers (Wix Sidebar)

"A Note on Seismic Filtering"Standard seismic attenuation systems (like those at ILL or FRM II) are designed to kill 1–100 Hz vibrations. However, 1.2 mHz is a sub-seismic frequency. It is vital that your analysis software does not treat 'slow drift' as an error to be zeroed out. The 'drift' IS the signal."