In physics, the concept of "nothing" as a field that allows for vibration and waves can be understood within the framework of quantum field theory and the vacuum state.
According to quantum field theory, the vacuum state, often referred to as "empty space," is not truly empty but is filled with quantum fields. These fields pervade all of space and are associated with different fundamental particles, such as electrons, photons, and other elementary particles.
Even in the absence of particles, these quantum fields still exist and can have fluctuations or vibrations associated with them. These fluctuations are known as vacuum fluctuations or virtual particles. They arise due to the inherent uncertainty principle of quantum mechanics, which states that there is a fundamental limit to our knowledge of a particle's position and momentum simultaneously.
These vacuum fluctuations can be thought of as temporary excitations or fluctuations in the quantum fields. They are not directly observable in the same way as particles, but they have measurable effects. For instance, in experiments such as the Casimir effect, the presence of vacuum fluctuations between two closely spaced conducting plates leads to a measurable force.
The concept of virtual particles and vacuum fluctuations allows for the possibility of wave-like behavior in seemingly empty space. Waves, in this context, arise from the interactions and propagations of these quantum fluctuations. For example, electromagnetic waves, which include visible light and other forms of electromagnetic radiation, can be understood as oscillations or disturbances in the underlying electromagnetic quantum field.
It's important to note that the vacuum state and its associated fluctuations are complex concepts that arise from advanced theories in quantum field theory. They represent our current understanding of the fundamental nature of "empty space" and the behavior of quantum fields at the most fundamental level.