Open AccessGravitation in the surface tension model of spacetime
Author(s) -
Howard A. Perko
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1239/1/012010
Subject(s) - spacetime , classical mechanics , physics , general relativity , maxwell's equations in curved spacetime , introduction to the mathematics of general relativity , gravitation , einstein field equations , curvature , problem of time , tensor (intrinsic definition) , theoretical physics , mathematics of general relativity , quantum , quantum gravity , numerical relativity , geometry , quantum mechanics , mathematics
A mechanical model of spacetime was introduced at a prior conference for describing perturbations of stress, strain, and displacement within a spacetime exhibiting surface tension. In the prior work, equations governing spacetime dynamics described by the model show some similarities to fundamental equations of quantum mechanics. Similarities were identified between the model and equations of Klein-Gordon, Schrödinger, Heisenberg, and Weyl. The introduction did not explain how gravitation arises within the model. In this talk, the model will be summarized, corrected, and extended for comparison with general relativity. An anisotropic elastic tensor is proposed as a constitutive relation between stress energy and curvature instead of the traditional Einstein constant. Such a relation permits spatial geometric terms in the mechanical model to resemble quantum mechanics while temporal terms and the overall structure of tensor equations remain consistent with general relativity. This work is in its infancy; next steps are to show how the anisotropic tensor affects cosmological predictions and to further explore if geometry and quantum mechanics can be related in more than just appearance.