2018-12-01
en
articles
https://link.springer.com/10.1007%2Fs11182-018-1545-9
research_article
Violation of the Equivalence Principle in Non-Hermitian Fermion Theory
2018-12-01
false
https://scigraph.springernature.com/explorer/license/
2019-04-11T08:17
1-7
Consequences of the non-Hermitian expansion of the Dirac equation in which the mass term is written in the form m → m1 + γ5m2 are considered. It is shown that such procedure inevitably leads to violation of the weak equivalence principle, i.e., causes an inequality of gravitational and inert fermion masses. However, if to relate the Hermitian, m1, and non-Hermitian, m2, masses by the additional condition m2/m1 = m1/2M ≤ 1, the possibility arises to preserve the equivalence principle for fermions of the standard model with high accuracy. In this case, the parameter M = const is the universal constant with dimensionality of mass that can be related to a maximum possible allowed fermion mass in this model. As a consequence of the same condition, a new class of solutions of the modified Dirac equation arises that describes particles whose properties make them obvious candidates for dark matter.
A. M.
Mandel
Springer Nature - SN SciGraph project
Rodionov
V. N.
doi
10.1007/s11182-018-1545-9
Moscow State Technological University “STANKIN,”, Moscow, Russia
Moscow State Technological University
1573-9228
Russian Physics Journal
1064-8887
Physical Sciences
Astronomical and Space Sciences
dimensions_id
pub.1110332672
Plekhanov Russian University of Economics
Plekhanov Russian University of Economics, Moscow, Russia
readcube_id
5f389c82e92c7e6c3403b7fa90f2df98a3679cb5409a30f995402d3089ebc4bc