A unified quantization of gravity and other fundamental forces of nature
Abstract
We quantize the interaction of gravity with Yang-Mills and spinor fields, hence offering a quantum theory incorporating all four fundamental forces of nature. Let us\ann{as} abbreviate the spatial Hamilton functions of the Standard Model by and the Hamilton function of gravity by . Working in a fiber bundle with base space , where the fiber elements are Riemannian metrics, we can express the Hamilton functions in the form if , where depends on metrics satisfying . In the quantization process, we quantize for general but only for by the usual methods of QFT. Let \resp be the spatial eigendistributions of the respective Hamilton operators, then, the solutions of the Wheeler-DeWitt equation are given by , where satisfies an ODE and is evaluated at in the fibers.
Keywords
Cite
@article{arxiv.2206.11367,
title = {A unified quantization of gravity and other fundamental forces of nature},
author = {Claus Gerhardt},
journal= {arXiv preprint arXiv:2206.11367},
year = {2022}
}
Comments
32 pages, v3: This is the published version. arXiv admin note: text overlap with arXiv:1301.6101, arXiv:2104.08084