Can the Fundamental Theory Of Everything be Renormalizable?

TL;DR

This paper argues that a fundamental theory of everything cannot be both renormalizable and nonperturbatively finite, implying such theories must be either nonrenormalizable or finite order by order.

Contribution

It provides theoretical considerations showing the incompatibility of renormalizability with nonperturbative finiteness for fundamental theories.

Findings

Renormalizable theories cannot be nonperturbatively finite.

Fundamental theories must be either nonrenormalizable or finite order by order.

Supports the idea that renormalization properties constrain fundamental theory formulations.

Abstract

Some considerations showing that renormalizable theories with consistent perturbative theries can not be nonperturbatively finite (in terms of bare parameters) are provided. Accordingly any fundamental unified theory has to be either non renormalizable or order by order finite.