- #76

A. Neumaier

Science Advisor

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One can do statistics with any collection of measurement results.One can do statistics using a single particle in, e.g., a Penning trap, as described here:

https://doi.org/10.1088/0031-8949/1988/T22/016

but isn't this indeed a paradigmatic example for your formulation?

But in the case you mention, where the data come from a single particle, the statistics is not governed by Born's rule. Each data point is obtained at a different time, and at each time the particle is in a different state affected in an unspecified way by the previous measurement. So how could you calculate the statistics from Born's rule?

Instead, the statistics is treated in the way I discussed in case (A).

If the nondestructive single photon measurements result in a time series, the situation for this photon is the same as for the particle in the Penning trap.Also nondestructive photon measurements are done,

I didn't know that accelerators measure momentum and polarization of individual photons. Could you provide me with a reference where I can read details? Then I'll be able to show you how it matches the description in my paper.but also the standard photon detection of course measures properties of single photons like energy, momentum, and polarization, or what else do you think the photon measurements in all the accelerators in HEP and heavy-ion physics provide?

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