Clarify Iyer–Prabhu’s distinction between Marx’s Experiment I and Experiment II

Ascertain how Iyer and Prabhu (2006) operationally distinguish between Marx’s Experiment I (single Lorentz boost with the sheet stationary and the rod moving directly toward the slit) and Marx’s Experiment II (non-collinear orthogonal motions of the rod and the sheet) in their analysis of the rod and slit paradox, given that their setup does not specify the initial state or the acceleration protocol used to reach the final state.

Background

The paper critiques prior analyses of the rod and slit paradox, emphasizing that the Silberstein/Thomas/Wigner (STW) rotation is essential when non-collinear boosts are involved. The authors argue that some earlier treatments either misrepresent trajectories or omit the role of the STW rotation, which is decisive for whether the rod clears the slit.

Specifically, the authors note that Iyer and Prabhu (2006) analyze a direct transformation between the rod and slit rest frames without defining an initial state or explaining how velocities are established. Without this specification, it is not evident how their setup aligns with Marx’s experiment typology (Experiment I versus Experiment II), which differ by whether non-collinear boosts are present. This missing information leaves an unresolved question about how their case is categorized and interpreted relative to Marx’s two experiments.

References

Therefore, it is unclear how they distinguish between Marx’s experiments I and II.

The role of the Silberstein/Thomas/Wigner-rotation in the rod and slit paradox  (2405.13040 - Schmidt et al., 2024) in Section 2: Discussion of earlier treatments