Two broad scenarios for extended linear Lorentz transformations (ELTs) are modeled in Section 2 for mixing subluminal and superluminal sectors resulting in standard or deformed energy-momentum dispersions. The first scenario is elucidated in the context of four diverse realizations of a continuous function (V), with 0 ≤ (V) ≤ 1 and (0) = () = 1, which is fitted in the ELT. What goes in the making of the ELT in this scenario is not the boost speed V, as ascertained by two inertial observers in uniform relative motion (URM), but V × (V). The second scenario infers the preexistence of two rest-mass-dependent superluminal speeds whereby the ELTs are finite at the light speed. Particle energies are evaluated in this scenario at for several particles, including the neutrinos, and are auspiciously found to be below the GKZ energy cutoff and in compliance with a host of worldwide ultrahigh energy cosmic ray data. Section 3 presents two broad scenarios involving a number of novel nonlinear LTs (NLTs) featuring small Lorentz invariance violations (LIVs), as well as resurrecting the notion of simultaneity for limited spacetime events as perceived by two observers in URM. These inquiries corroborate that NLTs could be potent tools for investigating LIVs past the customary LTs.
corrected ratio could be as large as 6 xlO"^, implying a trimuon branching ratio on the order of 3 xlO"^ (by assuming a decay branching ratio of 0.1). The neutrinoand muon-induced trimuon branching ratios are, therefore, roughly the same. This strongly supports our view that both result from the same underlying mechanism, namely, the associated production of a pair of hadrons carrying new quantum numbers, such as charm. We thank Professor K. W. Chen for a discussion of the experimental results.
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