2018•arXiv (Cornell University)Open access

On evidence for negative energies and masses in the Dirac equation through a unitary time-reversal operator

N. Debergh, Jean-Pierre Petit, Gilles Dagostini

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Abstract

We review the standards of relativistic quantum mechanics such as the Dirac equation under the concept of negative masses. We show that negative energies are acceptable provided the masses are simultaneously negative. Negative energy and mass anti fermions are obtained from positive energy and mass fermions through a unitary PT transformation.

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We review the standards of relativistic quantum mechanics such as the Dirac equation under the concept of negative masses. We show that negative energies are acceptable provided the masses are simultaneously negative. Negative energy and mass anti fermions are obtained from positive energy and mass fermions through a unitary PT transformation.

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Available abstract

We review the standards of relativistic quantum mechanics such as the Dirac equation under the concept of negative masses. We show that negative energies are acceptable provided the masses are simultaneously negative. Negative energy and mass anti fermions are obtained from positive energy and mass fermions through a unitary PT transformation.

Key concepts: Negative energy, Dirac equation, Unitary state, Unitary transformation, Physics, Dirac sea, Fermion, Negative mass

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