Relativity and Cosmology

   

Four Index Einstein field Equations with Quantum Like Effects from Pure Geometry

Authors: Tomasz Kobierzycki

In this work I present extensions of Einstein field equations [1] into four index equations. This extensions give as natural result a energy tensor for vacuum thus for gravity field. It’s all construct in spirit of two index field equations and in truth does not need any additional assumptions about field equations. Form it follows that it’s natural completeness of two index equations not a true extension as it fully defines curvature tensor not only Ricci part of curvature as it happens in two index equations. Quantum effects are divided into two parts, one is about wave function like object and measurement, next one is about spin as orientation of manifold. Wave function like object is constructed from normalized curvature invariant. That plays role of "probability" of finding object in given volume of spacetime at given interval of time. I did no present direct solutions to those equations or concrete examples where it differs from General Relativity [1].

Comments: 21 Pages.

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Submission history

[v1] 2026-01-08 17:21:55
[v2] 2026-02-13 21:13:08

Unique-IP document downloads: 224 times

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