one or the other

[AntonioLao]

The reality of antimatter versus matter seems to depend on mutually exclusive spacetime events. As the principle of exclusion of quantum mechanics suggests, these mutually exclusive spacetime events apply completely and totally to elementary particles of fermions but not to elementary particles of bosons. These were verified successfully and accurately by empirical analyses of Fermi-Dirac and Bose-Einstein quantum statistics in high energy physics experiments. In the classical limit of low energy physics these become Maxwell-Boltzmann Statistics.

At low energy physics the entire universe seems to be dominated exclusively by a spacetime continuum for the distribution of matter even in the interiors of stars. However, the missing solar neutrinos gave a plausible disagreement between theory and experiments and together with the fact that only antineutrinos are involved in all fission reactions of radioactivity by the weak nuclear interaction producing single beta decay when a neutron changed into a proton, electron, and its antineutrino.

In mathematics, two spacetime events A and B are mutually exclusive if they cannot both occur in the same spacetime position. This implies that their intersection (A Ç B) is the empty set. The probability that one or the other occurs is given by the addition law of probability: P(A È B) = P(A) + P(B) + P(A Ç B). If P(A) is the probability for detecting matter and P(B) is the probability for detecting antimatter then the mystery lies in the observed values that P(A) is about 5%, P(B) is practically zero indicating that P(A Ç B) dominates 95% as reality of the quantum vacuum.

[Cubola Zaruka]

I guess that the reason why the creation of matter and the creation of antimatter are mutually exclusive is that, when both occur in the same place, they anihillate each other instantly. Is it possible that most of the antimatter could have travelled in the opposite direction to matter spatially and temporily from the initial singularity?

[AntonioLao]

Is it possible that most of the antimatter could have travelled in the opposite direction

Most likely but yet not provable by any state of the arts experiments.

[Profpat]

If you look at a dome in space, the area within the dome is positive space, the area immediately outside the dome is negative space. Positive and negative space curvatures, each creating ( complementing ) the other. Inner and outer sharing the same space.

[AntonioLao]

Thanks, Profpat. In addition I would extend the space domain into spacetime domain and consequently creates 2 Mobius bands of opposing directional invariance. One direction implies positive spacetime and the other negative spacetime.