Phenomena are the things which we perceive by means of observation and measurement.
See phenomena.
The primary phenomena we are concerned with in the domain of physics are very basic: space, particles, non-locality, gravity, motion and the fact that symmetry is a good signpost for understanding the universe. For each of these phenomena, QO has an explanation that differs substantially from that of mainstream science.
A theory of everything has several things about mathematics to account for.
Firstly, it must account for the fact that mathematics appears to be useful for describing natural law.
Secondly, it must account for the fact that the mathematics man has produced until now cannot be guaranteed to be free of contradictions, allows us to choose between contradictory axioms, and is structurally incomplete. In other words, 'mathematics is in a mess'.
A phenomenon is a set of spatiotemporal objects of which the behaviour can be sensed, rather than known by thought or intuition. By extension it may be a pattern in the behaviour of spatiotemporal objects, such as the phenomenon that energy is conserved, or that electricity passing through a wire can generate a magnetic field.