An alternative approach involves noncommutative geometry ,
which yields similar results. It seems likely that there is a deep link
between the two approaches. It is interesting to note that the theory
of DSR has its origin in the work of Born in 1938 and Snyder in 1947....
the Muon Mystery solved!!
https://www.quantamagazine.org/physicists-solve-a-muon-mystery-now-old-results-dont-add-up-20260729/?mc_cid=a10996a8ae
Our result is also consistent with prior approaches using the
apparatus of noncommutative geometry, where the experimental tension
bounds the scale to be above 14 TeV....
The effect of the fundamental length in spacetime is to modify the propagator for the virtual photon carrying four momentum 𝑘, by adding an additional term of 𝜂→𝐤
Overall, this would make a contribution nearly 30,000 times larger
than the photon propagator to the anomalous magnetic momentum, and
would increase the energy scale needed to explain the tension in the
measurement by 4 orders of magnitude. It should also be noted that it
operates in the opposite sense to the photon contribution. This is
unsurprising as the use of the physical propagator is not Lorentz
conserving on its own, and there is no balancing factor from the
momentum measure.
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