Map-Based Dynamics in Flat SpaceLaw 1: Non-interacting objects follow paths of extremal aging (e.g. maximum traveler time τ) through spacetime, predicated by nature's command on small size-scales to explore all paths. Such commands on the macro-scale in flat spacetime predict that energy (γ m c2) and momentum (m w) will be constants of a non-interacting object's trajectory. Rates of change of these quantities are therefore useful for tracking interactions.
Law 2: Local eyes may see interactions as mediated by rates of momentum exchange per unit map-time i.e. by frame-variant forces F. The net sum of these forces relates to the proper-acceleration alpha experienced by the object via:
Law 3: Conservation of momentum across interactions means that for every transfer of momentum from one object to another, there is an equal and opposite transfer from the other back to the first. Likewise for energy transfers.