Quantization of gravitation
Background. Energy and time are described by operators in quantum theory, but the time of the Schrödinger equation is a parameter, and the gravitational field has no operator in the same sense. This article asks whether the gravitational field can be given an operator and a wave equation within one relation between energy, time and space. Materials and methods. An external observer assigns to a system the space , the energy , the time , the mass-equivalent , the matter and the gravitational field. Newton’s law of gravitation is used to derive the Einstein form of these quantities in the dimension known. The quantities are described by operators. Results. The gravitational field follows from time. Newton’s law gives the same space compatible to Einstein's form. The gravitational field has an operator and commutation relations. The time of the Schrödinger equation is decoded. From the gravitational potential follows a wave equation for gravitation. Conclusion. In this publication, the gravitational field is quantized: it has an operator, commutation relations and a wave equation. Whether the gravitation of general relativity is thereby quantized too, is not decided by this publication.
Authors
- Ilija Barukčić (ORCID: https://orcid.org/0000-0002-6988-2780)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-11-07
- DOI
- https://doi.org/10.5281/zenodo.24032084
- Primary Topic
- Relativity and Gravitational Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00