The matter dominance of the universe is conjectured to have resulted from processes violating the combined symmetry of charge conjugation
and parity a symmetry under simultaneous charge flip and mirror inversion at extreme conditions in the early universe.
In order to check the CPT invariance  for the dual MHD field equations of dyonic cold plasma, we may write the charge conjugation matrix (C) to the case of quaternionic dual-current sources and hydroelectromagnetic fields of dyonic fluid as [mathematical expression not reproducible], where the charge conjugation transformation plays as
The forth component of quaternionic sources can also be transformed for charge conjugation, parity, and time reversal as the following ways:
The charge conjugation operator C from the quantum theory is an operator that changes particles into antiparticles, and visa versa [2, p.
If it is assumed that the charge conjugation operator C' applies only to free-particle charges, then from (2) and (3)
The antisymmetric operators [U.sup.AB] = -[U.sup.BA] and [V.sup.AB] = -[V.sup.BA] are central charges, and matrices [xi], [zeta] that have to satisfy ([[xi].sub.j] + i[[zeta].sub.j]) = -[([[xi].sub.j] + i[[xeta].sub.j]).sup.[dagger]] [[sigma].sup.[mu]v] are Lorentz generators for a bispinor, [[gamma].sup.[mu]] are Dirac matrices, and C is charge conjugation
According to well known theoretical conjectures, supported by experimental observations, the combined charge conjugation
and parity symmetry (CP) and time reversal symmetry (I) are closely related by the CPI-theorem.
After Lee and Yang had shown that parity was not conserved in the weak interaction (see 1956), parity was combined with a particle characteristic called charge conjugation
(which told whether the particle in question was an ordinary particle or an antiparticle) with the idea that if parity was unbalanced in one direction in a particular particle, charge conjugation
would be unbalanced in the other, and the two together would be conserved.
Now, the charge conjugation
operation, [??], is applied to the fields of the second generation keeping the first generation of H-quarks unchanged:
The breaking of the combined charge conjugation
and parity symmetries (CP-violation) in the Standard Model is not strong enough to explain the observed excess of matter and further sources of CP-violation must be sought.
The aim of Romalis' project, "A Test of CPT Symmetry Using a New [K-.sup.3] He Self-Compensating Magnetometer," is to perform a high-precision test of combined charge conjugation
, parity inversion, and time reversal (CPT) invariance and local Lorentz invariance by comparing the Larmor precession frequencies of potassium (K) and helium 3 ([He.sup.3]) atoms in the same cell as a function of time, i.e., the daily rotation of the Earth about its axis and the movement of the Earth relative to the cosmic microwave background radiation.
The combination was called C-P (charge conjugation
and parity), so scientists decided there was a law of C-P conservation.