  Based on Maxwellian quaternionic electromagnetic theory, the octonionic
hyper-strong field, hyper-weak field and the quantum interplays can be
presented by analogy with octonionic electromagnetic, gravitational, strong and
weak interactions. In the hyper-weak field, the study deduces some conclusions
of field source particles and intermediate particles which are consistent with
Dirac equation, Yang-Mills equation, Schrodinger equation and Klein-Gordon
equation. It predicts some new intermediate particles and observed abnormal
phenomena about galaxy clusters which may be caused by the hyper-weak field. In
the hyper-strong field, the paper draws some conclusions of the field source
particles and intermediate particles which are coincident with Dirac-like
equations. It predicts some new intermediate particles, three kinds of colors,
and some observed abnormal phenomena which may be caused by the sub-quarks in
hyper-strong field. The researches results show that there may exist the some
new field source particles in the hyper-strong and hyper-weak fields.
