Einstein’s field equations and non-locality

Ilija Barukčić

doi:https://doi.org/10.14445/22315373/IJMTT-V66I6P515

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 6 | Year 2020 | Article Id. IJMTT-V66I6P515 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I6P515

Einstein’s field equations and non-locality

Ilija Barukčić

Citation :

Ilija Barukčić, "Einstein’s field equations and non-locality," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 6, pp. 146-167, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I6P515

Abstract

Objective. Reconciling locality and non-locality in accordance with Einstein’s general theory of relativity appears to be more than only a hopeless endeavour. Theoretically this seems either not necessary or almost impossible. Methods. The usual tensor calculus rules were used. The proof method modus ponens was used to proof the theorems derived. Results. A tensor of locality and a tensor of non-locality is derived from Riemannian curvature tensor. Einstein’s field equations were reformulated in terms of the tensor of locality and the tensor of non-locality without any contradiction, without changing Einstein’s field equations at all and without adding anything new to Einstein’s field equations. Weyl’s curvature tensor does not model non-locality sufficiently well under any circumstances. Under conditions of the general theory of relativity, it is more appropriate and straightforward to use the nonlocality curvature tensor which is part of the Riemannian curvature tensor to describe non-locality completely. Conclusions. The view is justified that there is no contradiction at all between Einstein’s field equations and the concept of locality and non-locality.

Keywords

principium identitatis, principium contradictionis, theory of relativity, unified field theory, causality

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