A New Principle in Physics: the Principle of "Finiteness", and Some Consequences

TL;DR

This paper introduces the principle of finiteness in physics, asserting that physical laws should exclude zero or infinite solutions, and explores its implications across relativity, quantum mechanics, and quantum gravity.

Contribution

It proposes the principle of finiteness as a fundamental postulate in physics, independent of existing theories, with broad implications for physical laws and solutions.

Findings

Prevents exact zero or infinite solutions in physical laws

Impacts the formulation of theories in relativity and quantum physics

Provides a new foundational principle for physics

Abstract

In this paper I propose a new principle in physics: the principle of "finiteness". It stems from the definition of physics as a science that deals (among other things) with measurable dimensional physical quantities. Since measurement results, including their errors, are always finite, the principle of finiteness postulates that the mathematical formulation of "legitimate" laws of physics should prevent exactly zero or infinite solutions. Some consequences of the principle of finiteness are discussed, in general, and then more specifically in the fields of special relativity, quantum mechanics, and quantum gravity. The consequences are derived independently of any other theory or principle in physics. I propose "finiteness" as a postulate (like the constancy of the speed of light in vacuum, "c"), as opposed to a notion whose validity has to be corroborated by, or derived theoretically or experimentally from other facts, theories, or principles.