Related papers: Spacetime Paths as a Whole

Spacetime Paths as a Whole

URL: http://arxiv.org/abs/2103.03364v1
Date: Thu, 4 Mar 2021 22:08:35 GMT
Title: Spacetime Paths as a Whole
Authors: Sky Nelson-Isaacs
Abstract summary: We develop a novel understanding of time and paths through spacetime as a whole. A 3+1D spacetime wave distribution and its 4-momentum dual are formally developed. A comparison is made to the mathematics of holograms, and properties of motion for simple systems are derived.
Score: 0.0
License: http://creativecommons.org/licenses/by-nc-sa/4.0/
Abstract: The mathematical similarities between non-relativistic wavefunction propagation in quantum mechanics and image propagation in scalar diffraction theory are used to develop a novel understanding of time and paths through spacetime as a whole. It is well known that Feynman's original derivation of the path integral formulation of non-relativistic quantum mechanics uses time-slicing to calculate amplitudes as sums over all possible paths through space, but along a definite curve through time. Here, a 3+1D spacetime wave distribution and its 4-momentum dual are formally developed which have no external time parameter and therefore cannot change or evolve in the usual sense. Time is thus seen "from the outside". A given 3+1D momentum representation of a system encodes complete dynamical information, describing the system's spacetime behavior as a whole. A comparison is made to the mathematics of holograms, and properties of motion for simple systems are derived.

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