The statement that "Nature uses waves as primitive building blocks of matter" might be misleading or inaccurate. In physics, waves and particles are often considered as complementary descriptions of nature, rather than one being the building block of the other. The behavior of particles can exhibit wave-like properties under certain circumstances, which is known as wave-particle duality.
In quantum mechanics, particles such as electrons and photons can exhibit both particle-like and wave-like characteristics. This wave-particle duality is a fundamental aspect of quantum physics, and it is described by wave functions or quantum wave equations. These wave functions can be used to predict the probability distribution of finding a particle at a particular location.
The concept of wave-particle duality arose from experimental observations, such as the double-slit experiment, where particles exhibit interference patterns similar to what would be expected from waves. However, it's important to note that these "waves" are not physical waves like water waves or sound waves. They are mathematical representations of the probabilities of finding a particle in different states.
So, it's more accurate to say that nature exhibits both particle-like and wave-like behavior, and our understanding of matter and energy has evolved to incorporate this duality. Waves and particles are both used as theoretical constructs to describe and understand different phenomena in physics, depending on the context and the experimental setup.