On the problem of a physical "theory of everything"

TL;DR

This paper argues that a comprehensive physical 'theory of everything' cannot be formulated under arbitrary spacetime assumptions, based on logical transformations of arithmetic axioms into physical statements.

Contribution

It demonstrates that assuming arbitrary spacetime structures prevents the development of a unified physical theory, linking logical foundations with physical modeling.

Findings

No universal theory can encompass all phenomena with arbitrary spacetime assumptions

Transforming arithmetic axioms into physical statements reveals fundamental limitations

Highlights the importance of spacetime structure choices in physical theories

Abstract

No quantitative theory describing all physical phenomena can be made if any arbitrary standard spacetime structure is assumed. This statement is a consequence of transforming the Peano arithmetic axioms into sentences with a physical content.