Particles are not probability wave functions because they move fast or because they are tiny. The wave-particle duality of quantum mechanics suggests that particles such as electrons and photons exhibit both wave-like and particle-like properties.
In quantum mechanics, the behavior of particles is described by wave functions, which are mathematical functions that assign a probability amplitude to each possible state of the particle. The square of the magnitude of the wave function gives the probability distribution of finding the particle in a particular state. This probabilistic nature of quantum mechanics reflects the fundamental uncertainty inherent in the microscopic world.
The wave-like nature of particles is not a consequence of their speed or size, but rather a fundamental aspect of quantum mechanics. The wave function describes the probability distribution of a particle's position or other observable properties. It can exhibit wave-like properties such as interference and diffraction, similar to classical waves.
It is important to note that particles in quantum mechanics are not considered to be classical point particles with definite positions and trajectories. Instead, they are described by wave functions that give the probability distribution of their properties. The actual behavior of particles is determined through interactions and measurements, which collapse the wave function to a specific value corresponding to the observed outcome.
In summary, the wave-particle duality in quantum mechanics is not a result of a particle's speed or size, but rather a fundamental characteristic of the quantum world, described by wave functions that assign probabilities to different states of particles.