# Spinning Toroidal Brane Cosmology; A Classical and Quantum Survey

## TL;DR

This paper develops a classical and quantum cosmological model based on a rotating toroidal brane, exploring its quantum properties, cosmological features, and implications for universe expansion without a cosmological constant.

## Contribution

It introduces a novel spinning toroidal brane model incorporating quantum mechanics and cosmological analysis, including rotation effects and expansion dynamics.

## Key findings

- The model exhibits accelerated expansion without a cosmological constant.
- Quantum features such as minimal length and momentum are analyzed in the toroidal brane context.
- Rotation influences the cosmological evolution and quantum properties of the brane.

## Abstract

We construct a cosmological model based on a free particle model which is constrained on an embedded toroidal brane, with a general rotation around a specific axis in the bulk space. Some related issues such as the rotation axis of the brane, the presence of gravitomagnetic background and its relation to the general angular velocity of the brane, and its quantum mechanics and related issues such as minimal length and minimal momentum of the quantum model in the $\mathbb{T}^3$ brane are studied. Also, some cosmological features such as the constraint which is imposed upon the toroidal universe by the isotropy and homogeneity conditions, the corresponding Hubble law, and accelerating expansion for the spinning toroidal model without considering a cosmological constant are also studied.