Revisiting the Issue of an Imaginary Energy Quantity That Appears in Near-Dirac Equations

POSTER

Abstract

The result of minimal coupling with electromagnetic field would yield a real energy term attributed to the interface of a Dirac particle with an external magnetic field (via an inherent magnetic moment). Another term appears as an imaginary ``electric dipole moment'' coupled to an external electric field. The imaginary term, which also showed in Dirac's 1928 paper, has been purposefully removed via Hamiltonian transformations that are non-unitary in nature. The issue is revisited here because: (1) similar issue also appears in photon equations; and (2) there may be better interpretations/implications for it. It is asserted that an imaginary energy term in a quantum mechanical system is meant to be maintained as zero in system's stationary states, but imaginary energy could arise above zero in transient modes. Under certain circumstances, tachyon-type of communication mode allows for higher than the speed-of-light entangled events to occur. For example, in a multi-electron system, the imaginary energy term may serve as a means for forming electron pairs (or entangled particles) such that the aforementioned ``electric dipole moments'' are summed to zero.

Authors

  • Wen-Tai Lin

    Retired