AUTHOR=Ord G. N. 

TITLE=The Feynman chessboard model in 3 + 1 dimensions

JOURNAL=Frontiers in Physics

VOLUME=Volume 11 - 2023

YEAR=2023

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2023.1286030

DOI=10.3389/fphy.2023.1286030

ISSN=2296-424X

ABSTRACT=The Chessboard model was Feynman's adaptation of his path-integral method to a two dimensional relativistic domain. It is shown that Chessboard paths encode information about contiguous pairs of paths in a spacetime plane, as required by discrete worldlines in Minkowski space. Applying the coding by pairs in a four dimensional spacetime is then restricted by the requirements of the Lorentz transformation, and implementation of these restrictions provides an extension of the model to 4-D, illuminating the relationship between relativity and quantum propagation.