A standing wave is a vibrational pattern that occurs when two identical waves traveling in opposite directions interfere with each other. This interference creates points along the medium that appear to be standing still, known as nodes, and points of maximum vibration, called antinodes. Standing waves are created at specific frequencies called harmonic frequencies. When the driving frequency applied to a system equals its natural frequency, a condition known as resonance occurs, which can lead to a dramatic increase in the amplitude of the vibrations.
Standing waves are the result of the superposition of waves, where the resulting displacement at any point is the sum of the individual wave displacements. This interference pattern redistributes the energy of the traveling waves, concentrating it in some areas (the antinodes) while leaving other areas with no energy (the nodes).
The search results did not contain specific information about the theory of particles as "interference patterns" in space, which is likely a specific model detailed in the article you linked. If you can provide an alternative, accessible URL or more information about this theory, I can attempt to provide a more specific answer.