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[this thread was forked from https://www.physicsforums.com/threads/zeno-effect-standard-derivation.951929/; the "equation above" can be found there]

If the quantum Zeno effect is real and if it can be quantified shouldn't the maths be specific to the event being observed? For example radioactive decay has been discussed recently on this forum and a relevant quantification is based on the assumption that the decay rate is proportional to N the number of radioactive nuclei present at a particular instant and also depends on the nature of the particular isotope being considered (expressed by a constant λ).

We can write: dN/dt = - λN. It's a quantification that seems to make sense and most importantly it seems to be well borne out by observations. But I can't believe that the decay rate can be altered by making observations that don't somehow change or disrupt the system and I would expect the equation above and any resulting variations of it to be expressed by some relevant mathematics. The maths used above seems to be of a general nature and non specific.

If the quantum Zeno effect is real and if it can be quantified shouldn't the maths be specific to the event being observed? For example radioactive decay has been discussed recently on this forum and a relevant quantification is based on the assumption that the decay rate is proportional to N the number of radioactive nuclei present at a particular instant and also depends on the nature of the particular isotope being considered (expressed by a constant λ).

We can write: dN/dt = - λN. It's a quantification that seems to make sense and most importantly it seems to be well borne out by observations. But I can't believe that the decay rate can be altered by making observations that don't somehow change or disrupt the system and I would expect the equation above and any resulting variations of it to be expressed by some relevant mathematics. The maths used above seems to be of a general nature and non specific.

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