By the way, the formula for the force that captures photons in the double-slit experiment, as well as in any experiment leading to the appearance of an interference pattern, still follows from the laws of Newton, Coulomb, and Ampère. This formula is given on page 6 of my article in NIST TREC 2006.
Here is the proof: the Stern-Gerlach experiment shows that silver atoms split into two parts when hitting the resulting screen, which stems from the fact that some of them have an increase in (molar) mass, while others have an increase in volume. This is reflected in the formula. (The splitting into two parts is in no way related to spins.) There are other evidences of the experimental nature.
For example, no reasonable explanation for the tunneling effect has been found so far. It is traditionally claimed that this effect is the overcoming of a potential barrier by a microparticle in cases where its total energy (which remains unchanged during tunneling) is less than the height of the barrier. The tunneling effect is an exclusively quantum phenomenon, impossible in classical mechanics and even completely contradictory to it.
In reality, it is a matter of the interaction force, the formula for which is given on page 6, and which is derived by rewriting the formulas of Newton’s and Со laws in terms of (molar) masses and volumes. The proof is in the photograph from the article 'In-situ Imaging of a Single-Atom Wave Packet in Continuous Space.' What is referred to as 'single-atom wave packets' are the volumes of excited atoms and their increments. Thus, the (molar) masses and volumes, as well as their increments, are directly visible in the photograph.
This interaction force attracts particles, establishing in this way the rule set by Poincaré's recurrence theorem: in a measure-preserving transformation of space onto itself, almost every point will return to its initial neighborhood.
