Quantum Field Theory without Divergences: Quantum Spacetime

TL;DR

This paper introduces a fundamental length scale into quantum field theory to eliminate divergences, maintaining relativity principles, and suggests a pathway for quantizing gravity, recovering standard theory as the length approaches zero.

Contribution

It proposes a novel approach to remove divergences in quantum field theory by incorporating a fundamental length, while preserving relativistic principles and providing insights into quantum gravity.

Findings

Divergences in quantum field theory are eliminated.

The approach recovers standard quantum field theory as the fundamental length approaches zero.

A method for quantizing gravity within this framework is indicated.

Abstract

A fundamental length is introduced into physics in a way which respects the principles of relativity and quantum field theory. This improves the properties of quantum field theory: divergences are removed. How to quantize gravity is also indicated. When the fundamental length tends to zero the present version of quantum field theory is recovered.