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

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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.
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Keywords: Bohmian Mechanics; Discontinuous Quantum Motion; Emergent Laws; Microscopic Arrow of Time; Relational Configuration Space

Document Type: Research Article

Publication date: 17 September 2013

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  • Physics Essays has been established as an international journal dedicated to theoretical and experimental aspects of fundamental problems in Physics and, generally, to the advancement of basic knowledge of Physics. The Journal's mandate is to publish rigorous and methodological examinations of past, current, and advanced concepts, methods and results in physics research. Physics Essays dedicates itself to the publication of stimulating exploratory, and original papers in a variety of physics disciplines, such as spectroscopy, quantum mechanics, particle physics, electromagnetic theory, astrophysics, space physics, mathematical methods in physics, plasma physics, philosophical aspects of physics, chemical physics, and relativity.
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