The idea of space comes from dimensions of solids or matter. But matter is not the most basic physical substance. Underlying matter we have the field. How does this change the concept of space?
It is interesting to study the interface between matter and field. That is the area Quantum Mechanics is looking at. Quantum Mechanics have had lots of successes, so Quantum Mechanics is mostly right. But its math is very complicated. Can that math be simplified without rendering QM wrong, because QM is not wrong! If we can simplify the math of QM then I am sure we can get further mileage out of it.
What is field compared to matter? When particles collide in atomic and nuclear reactions, we see emission of radiation. It seems that matter cannot be divided indefinitely as matter. Somewhere along the way matter seems to divide into field.
What is wave function? A wave function is trying to define the field. What does probability in a wave function mean? I don’t think it provides the chance of locating a particle in space because the concept of particle and space is in question here. A particle seems to be a “peak in probability”, and the background is not space but the adjacent valley. These “peaks and valleys” are relative, which are mimicking “particles and space”.
The atom exists as a “particle” in the relative “space” of outside low-frequency field. The nucleus of an atom exists as a “particle” in the relative “space” of the electronic region. This idea is not very different from the idea of a “quantum” in QM.
There seems to be a spike in frequency at the surface of the atom, and another huge spike at the surface of the nucleus. “Particles”, such as, electrons, atoms, and nuclei are stable configurations. The “particles” of Standard Model are also relatively stable configurations. This explains how there are particles within particles.
What does the zero mass of a photon means? Mass seems to come about when there is sharp spike in frequency. That means there is no sharp spike in frequency within a photon. The photon is the “space” part of a field. The photon then stands out as a “particle” in a “space” of lowest frequency possible. That would be a field approaching zero frequency. That would be “pure space”.