Toward a new mechanics based on discontinuous quantum motion: Why objects travel in straight lines and time moves in one direction

Abstract

A new mechanics is developed, extending analytical mechanics by drawing parallels with statistical mechanics. The approach developed replaces the concept of a many-particle system in favor of a “many-observer system” with respect to a single particle in an isotropic and homogeneous universe. Motion is described using the discontinuous quantum motion hypothesis: Space and time changes occur in an alternate and independent fashion. A configuration space is constructed consisting of relative displacements between the particle in question and each “observer.” The results include a description of mass and momentum (analogous to state functions), and the derivation of Einstein's relativistic energy equation (analogous to an equation of state for an individual particle based on its displacement relationships with respect to all other observers). Assumptions of three spatial dimensions and rectilinear motion will not be a priori but shown as emergent. If rectilinear motion is emergent, then I suggest that the arrow of time could be based at a microscopic level. Parallels with Bohmian mechanics are discussed.