# Canonical quantization of anisotropic Bianchi I cosmology from scalar vector tensor Brans Dicke gravity

## TL;DR

This paper performs canonical quantization of an anisotropic Bianchi I cosmology within a scalar-vector-tensor Brans Dicke gravity framework, revealing quantum conditions and implications for early universe inflation.

## Contribution

It introduces a novel quantization approach for anisotropic cosmology using scalar-vector-tensor Brans Dicke gravity, deriving new quantum conditions and insights into inflation.

## Key findings

- Wave functional described by Hermit polynomials
- Quantization condition on ADM mass related to quantum numbers
- Inflationary expansion can originate from big bang without naked singularity

## Abstract

We applied a generalized scalar-vector-tensor Brans Dicke gravity model to study canonical quantization of an anisotropic Bianchi I cosmological model. Regarding an anisotropic Harmonic Oscillator potential we show that the corresponding Wheeler de Witt wave functional of the system is described by Hermit polynomials. We obtained a quantization condition on the ADM mass of the cosmological system which raises versus the quantum numbers of the Hermit polynomials. Our calculations show that the inflationary expansion of the universe can be originate from the big bang with no naked singularity due to the uncertainty principle.