Response to Horton and Dewdney
نویسنده
چکیده
There are some points in the reply of Horton et al. [3] to my comment [2] on their paper [1] which I cannot let stand without a response. I provide here some clarification of how much I proved about the set of points where their law of motion is ill-defined. In a recent article in J. Phys. A [1], Horton et al. present what they claim is a Bohm-type law of motion for point particles, based on a Klein–Gordon wave function and implying (unlike a similar law proposed by de Broglie) timelike world lines. Concerning this claim I pointed out in a comment [2] that the prescription they give is ill-defined in some situations, and underpinned this by a concrete example. In addition, I gave arguments to the effect that the set of " bad " space-time points, where the law of motion is ill-defined, is a set of positive measure for many wave functions. To this Horton et al. have responded [3], ignoring my arguments, that although bad points may exist, they form a set of lesser dimension and therefore can be dealt with by a limiting procedure. I wish here to point out that the response of Horton et al. is entirely without merit. Here is why: In my comment I pointed out that those space-time points are bad where both vectors W
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