Log-Periodic Visibility Component in Double-Slit Interference: Phenomenological Hypothesis and Testable Predictions

A phenomenological hypothesis is proposed regarding the presence of a narrow log-periodic component in the visibility of the interference pattern in a double-slit experiment when scanning over kinetic energy $E$ and geometric scale $s$ of the setup. The hypothesis leads to specific forms of $V(E)$ and $V(s)$, testable predictions, strict experimental conditions (including Fraunhofer regime), a visibility extraction protocol, a spectral analysis algorithm in logarithmic scale, and a list of systematic effects and control measurements. Criteria for detecting and confirming the frequency $\omega$ across independent scans are provided.