The Ideal Particle
It appears that the reason why matter exists is to conserve both the angular momentum and centripetal force of the hyperverse. In hyperverse theory, the universe is composed of quanta, and the quanta have spin. With expansion, the number of quanta increases, and consequently, so does the angular momentum of the hyperverse.
The geometric mean expansion of space model produces several equations that appear to represent an 'ideal particle', an elementary particle that would create the exact mass and radius, and be produced in the exact numbers, to allow conservation of the centripetal force and angular momentum. But actual particles, being composed of the quanta of space arranged in various spin orientations, will have spin, or charge, characteristics that can vary from particle type to particle type, according to how they coalesce (see the structure of elementary particles page). We can deduce that the varying spin orientations is the reason for the variations from the ideal particle.
However, the ideal particle concept allows us to look critically at what the hyperverse is trying to do. We discover that elementary particles are NOT constant over time, but are dynamical, varying with expansion. That is, the mass, radius, and number of elementary particles of matter changes with time
Conserving Angular Momentum and Centripetal Force
By coalescing the quanta of space, and crushing it down to a particular size, the particle radius, the hyperverse can conserve both centripetal force and angular momentum. And due to expansion, angular momentum keeps increasing, so the universe must respond by continually creating more particles of matter, and by continually accreting more and more quanta to the particles.
Matter is condensed space, forced to coalesce and condense to conserve angular momentum and centripetal force.
The initial angular momentum, as discussed in the paper "A Universe from Itself: The Geometric Mean Expansion of Space and the Creation of Quanta", was one-half the reduced Planck constant. Expansion has increased angular momentum greatly,.
It appears that the reason matter exists is because the expanding universe must conserve centripetal force and angular momentum.
The topic is discussed in detail in the paper, "On the Origin of Matter and Gravity: What They Are and Why They Exist".