The Weinberg - Faddeev solution to the problems of quantum field theory and quantum gravity:quantum spacetime

TL;DR

This paper introduces a fundamental length into physics, compatible with relativity and quantum field theory, eliminating divergences and simplifying quantum gravity quantization.

Contribution

It proposes a novel approach that incorporates a fundamental length, resolving divergences and facilitating straightforward quantum gravity quantization.

Findings

Divergences are eliminated in the new theory.

Quantum gravity quantization becomes straightforward.

The approach maintains compatibility with special relativity and quantum field theory.

Abstract

In this paper a fundamental length is introduced into physics. This is done in a way which respects special relativity and quantum field theory. The theory has formal similarity to quantum field theory though its properties are far better: divergences are got rid of. The problem of quantizing gravity is straightforward in the approach.