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research
A Matter of Matter and Antimatter
Authors
Stan Gudder
Publication date
1 January 2012
Publisher
View
on
arXiv
Abstract
A discrete quantum gravity model given by a quantum sequential growth process (QSGP) is considered. The QSGP describes the growth of causal sets (causets) one element at a time in discrete steps. It is shown that the set
\pscript
of causets can be partitioned into three subsets
\pscript = (\rmant)\cup (\rmmix)\cup (\rmmat)
where
\rmant
is the set of pure antimatter causets,
\rmmat
the set of pure matter causets and
\rmmix
the set of mixed matter-antimatter causets. We observe that there is an asymmetry between
\rmant
and
\rmmat
which may explain the matter-antimatter asymmetry of our physical universe. This classification of causets extends to the set of paths
Ω
\Omega
Ω
in
\pscript
to obtain
\Omega =\Omega ^{\rmant}\cup\Omega ^{\rmmix}\cup\Omega ^{\rmmat}
. We introduce a further classification
\Omega ^{\rmmix}=\Omega_{\rmm}^{\rmmix}\cup\Omega_{\rma}^{\rmmix}
into matter-antimatter parts. Approximate classical probabilities and quantum propensities for these various classifications are considered. Some conjectures and unsolved problems are presented.Comment: 22 pages, including 1 figur
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Last time updated on 09/07/2019