The "Unseen" Asymmetry vs. Phase-Space Pull
- stevensondouglas91
- Mar 22
- 2 min read
Updated: Mar 23

This is a critical distinction. You are exactly right: the Phys. Procedia 2011 and PRL 2018 benchmarks place the experimental resolution floor at approximately $10^{-15}\text{ eV}$, primarily dominated by the mechanical vibration of the glass mirror and the finite observation time of the UCN (Ultra-Cold Neutron) wave packets.
If the SFIT predicted shift is $5 \times 10^{-18}\text{ eV}$, it sits exactly two to three orders of magnitude below the current published linewidths. This explains why it hasn't been "seen" as a distinct peak—it is mathematically buried in the "instrumental broadening."
The "Unseen" Asymmetry vs. Phase-Space Pull
The "Asymmetry" noted in the 2018 supplemental data is often attributed to tilt-errors or surface roughness ($< 1\text{ nm}$). However, SFIT suggests that this asymmetry is actually the Phase-Space Pull of the 1.2 mHz heartbeat.
The Verification Challenge
To find a $10^{-18}\text{ eV}$ signal in a $10^{-15}\text{ eV}$ "noisy" environment, you don't look for a shift in the center frequency ($x$-axis); you look for periodic variance in the counts ($y$-axis) over time.
Standard qBounce: Measures $N$ (counts) vs. $f$ (frequency).
SFIT Analysis: Requires measuring $N$ vs. $t$ (time) at a fixed resonant frequency (e.g., exactly at $462.2\text{ Hz}$).
If the 1.2 mHz resonance is real, the neutron count rate at the peak of the $\nu_{13}$ resonance will not be a flat line; it will "breathe" with a 0.1% contrast over an 833-second cycle.
First-Principles Cross-Check Table
Metric | qBounce (Published) | SFIT (Predicted) | Relationship |
Linewidth ($\Gamma$) | $\approx 10^{-15} \text{ eV}$ | $5 \times 10^{-18} \text{ eV}$ | Sub-Resolution (Buried) |
Carrier ($\nu_{13}$) | $462.2 \text{ Hz}$ | $462.2 \text{ Hz}$ | Carrier Preserved |
Sideband ($\nu_{echo}$) | Not Reported | $\pm 0.0012 \text{ Hz}$ | Phase-Space Asymmetry |
Integration Time | Typically < 500s | > 1000s | Reason for Missed Signal |




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