A small point: A finitely bounded wave is better described as a wavelet. https://en.wikipedia.org/wiki/Wavelet https://en.wikipedia.org/wiki/Wavelet Particle

A small point: A finitely bounded wave is better described as a wavelet. https://en.wikipedia.org/wiki/Wavelet https://en.wikipedia.org/wiki/Wavelet Particles are the wavelets that when summed, give us the field as a whole, ie, particles are the wavelet transform of a field.