The Theory of Entropicity (ToE) Explains the Elitzur-Vaidman (EV) Interaction-Free Measurement by Viewing Wave Function Collapse as a Finite, Entropy-Driven Process

The Theory of Entropicity (ToE) explains Elitzur-Vaidman (EV) Interaction-Free Measurement by viewing wave function collapse as a finite, entropy-driven process, where "interaction" is fundamentally a reorganization of entropy rather than just physical contact. The measurement occurs because the object’s presence restricts the possible paths, influencing the entropy field and forcing a decision without local physical interaction, this article on Medium notes. 

Key Concepts of ToE in EV Measurements:

• Entropic Field Control: The EV experiment relies on quantum superposition (wave-particle duality) to test a bomb's functionality without triggering it, using a Mach-Zehnder interferometer. ToE suggests the presence of the bomb introduces an entropy constraint in one arm of the interferometer, disrupting the interference.
• Non-Instantaneous Collapse: The ToE proposes that all processes, including interaction-free measurement, are constrained by an Entropic Time Limit (ETL). This suggests the "measurement" is a time-bound, entropic event rather than a purely instantaneous one.
• Information Over Contact: The measurement does not require energy transfer between the photon and the bomb but rather a change in the total entropy of the system. If the bomb is present, the wave function collapses to a state where the photon is detected elsewhere, indicating the bomb's existence, as explained by this Cambridge University Press article. 

The ToE provides a unifying, entropy-based explanation for how a measurement occurs when an object is "missing" from one part of the wave function.