# Existence of Matter as a Proof of the Existence of Gravitational Torsion

## TL;DR

The paper argues that the existence of matter, composed of elementary fermions, inherently proves the existence of gravitational torsion, which is a feature of Einstein-Cartan theory, even without direct experimental evidence.

## Contribution

It presents a philosophical and theoretical argument linking matter's existence to the presence of gravitational torsion within Einstein-Cartan theory.

## Key findings

- Matter's existence implies gravitational torsion exists.
- Torsion is confined within matter and does not propagate.
- Supports Einstein-Cartan theory as a viable gravity model.

## Abstract

One of the reasons why Einstein-Cartan-Sciama-Kibble theory --- which includes torsion due to the intrinsic spin of matter --- is not widely accepted as a viable theory of gravity, is the lack of any experimental evidence for the gravitational torsion. But at the heart of all matter are elementary fermions, which are mathematically described as spinors, and can be viewed as defects in spacetime associated with torsion. Therefore, in this essay we argue that the existence of matter itself provides a proof that gravitational torsion exists, albeit only inside of matter, and hence it does not propagate.