## Do Experiment and the Correspondence Principle Oblige Revision of Relativistic Quantum Theory?

**Authors:** Steven Kenneth Kauffmann

Recent preliminary data gathered by the Fermilab MINOS Collaboration suggest with 95% confidence
that the mass of the muon neutrino differs from that of its antineutrino partner, which contradicts the
entrenched relativistic quantum theory notion that a free antiparticle is a negative-energy free particle
compelled to travel backwards in time. Also a discrepancy of about five standard deviations in the value
of the proton charge radius recently obtained from muonic hydrogen versus that previously obtained from
electronic hydrogen casts doubt on the calculation of the dominant relativistic QED contributions to
the effects that are actually measured (e.g., the Lamb shift): these QED contributions dominate proton
charge radius contributions less in muonic hydrogen than in electronic hydrogen. The negative-energy "free
particles" of entrenched relativistic quantum theory are well-known features of the Klein-Gordon and Dirac
equations, which are shown to have many other unphysical features as well. The correspondence principle
for relativistic particles is incompatible with these two equations, produces no unphysical features and
implies only positive energies for free particles, which eliminates the very basis of the entrenched notion of
antiparticles, as well as of the CPT theorem. This principle thus requires antiparticles to arise from charge
conjugation (or more generally CP) invariance, whose known breaking is naturally expected to produce
mass splitting between particle and antiparticle, in consonance with the preliminary MINOS data. It also
requires revamping of relativistic QED, which is in accord with the doubt cast on it by the proton charge
radius results, and implies that QED is nonlocal, i.e. has no Hamiltonian density.

**Comments:** 15 pages, Also archived as arXiv:1009.3584 [physics.gen-ph].

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### Submission history

[v1] 21 Sep 2010

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