Test designed to detect Illumination-Induced Hysteresis in a Dual-Module Differential Noise Experiment

We propose and analyze a dual-module experimental configuration designed to testwhether illumination history can induce measurable hysteresis in an optical noise metricunder otherwise identical thermal conditions. Two nominally identical interferometricmodules are operated simultaneously under a shared temperature sweep. One module isperiodically illuminated, while the second remains dark as a control. By examining thedifferential noise metric ΔN = N_A − N_B as a function of temperature during warming andcooling phases, the experiment isolates illumination-dependent effects from commonmode thermal and environmental influences. A hysteresis loop observed between warmingand cooling branches at the same temperatures would indicate that the differential noisedepends not solely on instantaneous thermodynamic state, but also on prior illuminationexposure. Such behavior is consistent with a memory or conditioning effect associatedwith illumination history and motivates further investigation under controlled orbital orlaboratory conditions.