Quantum Mechanics Based on the Nature of Force?

 In previous notes (1), we argued that quantum mechanics follows from treating the potential in terms of certain physical units of the form exp(ikx) i.e. V(x)=Sum over k Vk exp(ikx). These deliver an impulse of momentum k. exp(ikx) has a number of properties. First, it is invariant in space as much as can be under the circumstances (periodic), secondly it is two dimensional with a modulus of 1 and thirdly, it has positive and negative portions. Furthermore, we argue that a quantum particle in a potential takes the same form i.e a distribution of exp(ipx)’s i.e. W(x)=wavefunction=Sum over p a(p)exp(ipx). In other words, it also acts like a kind of potential, but it is associated with an average kinetic energy. In this note, we consider the form exp(ipx) in terms of action/reaction. The quantum particle or unit of potential delivers an impulse hit and so should be linked to the idea of action reaction which is already known in classical mechanics. There, action/reaction is considered in terms of two objects. In this note, we speculate that the quantum particle or unit of potential may already have action/reaction built-in. This would describe why exp(ipx) is periodic (i.e has positive and negative portions while still having an overall modulus of 1). It would also help explain interference. Finally, one may note, as is well known in quantum mechanics, that the form exp(ipx) leads to conservation of momentum through   <exp(ip1 x)exp(ip2 x)  constant exp(ip3 x)exp(ip4 x)> i.e. a built in action/reaction exp(ipx) form is directly linked to momentum conservation.