The idea of subtle and regular vibrations in space as an explanation for particle wave oscillations is not supported by current scientific understanding. In the context of quantum mechanics and wave-particle duality, the wave-like behavior of particles is described by mathematical entities called wave functions, which are probability amplitudes associated with the particle's position, momentum, and other observable properties.
The wave function represents the probability distribution of finding a particle in a particular state or position. It undergoes characteristic wave-like phenomena, such as interference and diffraction, which are experimentally observed and well-verified.
However, these wave functions are not directly attributed to vibrations in space. They are abstract mathematical descriptions that encode the probabilistic behavior of particles at the quantum level. The wave function itself does not represent any physical disturbance or vibration in the classical sense.
In quantum field theory, which is a framework that combines quantum mechanics with special relativity, particles and their associated wave-like behavior are described in terms of quantized fields. These fields exist throughout space and have properties that dictate the behavior of particles and their interactions. However, these fields are not conceived as vibrations in space in the conventional sense.
It is important to note that the nature of quantum phenomena, including wave-particle duality, is highly complex and goes beyond classical intuitions. Quantum mechanics provides a powerful framework for understanding and predicting the behavior of particles at the microscopic level, but it often defies direct visualization or intuitive classical explanations.