A Deterministic Model of Path Memory Dependent Inter-Nucleon Forces

We discuss a classical deterministic model of internucleon forces assuming that their irreversible dynamics is not described by instantaneous forces but by electrodynamic path dependent forces. We propose to describe the hidden dynamics of single accelerated and deformable nucleons by a hidden nuclear electromagnetic pilot wave in analogy with recent discussed hydrodynamic pilot wave models. We assume that the hidden dynamics is non- Hamiltonian and suggest to interpret nuclear statistics to be caused by hidden time dependent ground state and binding energy. We introduce single nucleon scalar potential describing its microscopic dynamic state as a quasi-particle state and we couple it in a self-consistent way to hidden nuclear vacuum index, generalizing a previous model of the author. We discuss an iterative method to find approximate solutions of our model. We introduce a nuclear Bernoulli principle and nuclear electromagnetic vector potential which we exploit to deduce a condition of dynamic equilibrium between nucleon repulsive forces and nucleon cohesive superficial forces. Finally we recapitulate our general critiques to standard description of nuclear dynamics and discuss some possible non Maxwell formulation of electrodynamic forces for accelerated systems. We speculate that new classical electrodynamical models could explain in a coherent way interesting phenomena, compatible and predicted by our model, such time dependent nucleon dipoles, delayed nucleon emissions and delayed electromagnetic emissions.