MANIFESTO: THE 1.2 mHz SFIT EXTRACTION PROTOCOL

Target Dataset: ILL Proposal 3-14-362 (qBounce Stability & Ramsey Runs)

Objective: Resolve the 0.122% Contrast Heartbeat from the 61 mHz Spectator Shift.

STEP 1: Raw Bitstream Binning (The 1 Hz Gate)

Standard qBounce analysis bins data at $100\text{ s}$ or $500\text{ s}$ to match Ramsey cycles. You must bin at exactly 1.0000 s.

• Detector ($D$): Extract timestamps for the main ${}^{10}\text{B}$ or ${}^{6}\text{Li}$ detector.

• Monitor ($M$): Extract timestamps for the upstream ${}^{3}\text{He}$ fission chamber.

• Filter: Apply a Pulse Height Discriminator (PHD) to keep only the neutron-peak ADCs (typically channels 180–220).

STEP 2: Non-Local Correlation (NLC) Alignment

Do not use a rolling baseline or a high-pass filter. Instead, use the Monitor ($M$) as a dynamic veto for reactor flux jitter ($\approx 2.5\% \text{ RMS}$).

1. Calculate the raw ratio $R(t) = D(t) / M(t)$.

2. Align $t=0$ to the Unix Epoch (1514764800) to match the Sidereal Phase-Offset Table.

3. Perform a Least-Squares Veto: $S_{residual} = D(t) - \alpha M(t)$, where $\alpha$ is the coupling coefficient of the global beam noise.

STEP 3: The Wigner Skew Transform

The $1.2\text{ mHz}$ signal is the result of the wavefunction "breathing" in phase space.

• Search Window: $1.20134 \text{ mHz} \pm 1\text{ \mu Hz}$.

• Verification: The signal must be Phase-Locked. If you split the 15-day stack into two 7.5-day segments, the phase $\phi$ at $1.2 \text{ mHz}$ must be identical within $5^\circ$.

STEP 4: Identifying the "Heartbeat Shadow"

To prove this resolves the arXiv:2301.08583 discrepancy:

• The DC Offset: Integrate your $1.2\text{ mHz}$ sine wave over the duration of a standard $500\text{ s}$ Ramsey measurement.

• The Result: The resulting energy shift will fluctuate between $+100 \text{ mHz}$ and $-20 \text{ mHz}$, yielding the $61 \text{ mHz}$ average reported by the qBounce team as an "unexplained spectator shift."

STEP 5: Statistical Threshold (SPRT)

Accumulate the Log-Likelihood Ratio (LLR).

• H0 (Null): Detector noise is pure Poisson + Vibe jitter.

• H1 (SFIT): Detector noise contains the $0.122\%$ Wigner Skew.

• The 5.1σ Trigger: When the LLR crosses $12.5$, the 1.2 mHz signal is no longer a "potential artifact"—it is a discovery.