The wave structure of matter (WSM) model looks at the universe using only waves. As any useful model must, it explains many things that previously were puzzles or considered just weird such as the question of are they waves or are they particles, how particles attract and repel each other, how spacetime is shaped by matter and vice versa, the origin of the deBroglie wave, and more.

If you're new to all this then a good starting point is the article "The Wave Structure of Matter (WSM) and the Origin of Natural Laws" by Milo Wolff.

wave structure of matter in- and out-waves

Articles

"A Scalar-Energy Field That Predicts the Mass of The Electron-Neutrino", Michael Harney, http://viXra.org (February 2010)
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"1D Animation and Implementation Details of in-, out- and Resulting Scalar Waves",Steven Dufresne (February 23, 2010)
"Mathematics of Electron Spin", Milo Wolff, Schrodinger's Universe, pp 150-159 (2008)
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"Derivation of the Relativistic Lorentz Transformation Using the Wave Structure of Matter", Michael Weber and Michael Harney (May 27, 2007)
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FAQ

Q1 - Are there particles in the Wave Structure of Matter model?
Q2 - How does an in-wave come in from all directions? What is an in-wave?
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