# Formulation of the laws of conservation and non-conservation

**Authors:** Friedrich Herrmann

arXiv: 1901.02403 · 2020-06-25

## TL;DR

This paper discusses the formulation of conservation and non-conservation laws for various substance-like quantities, emphasizing the need for clear, unified statements to improve understanding and teaching.

## Contribution

It proposes a simplified, consistent framework for expressing conservation laws, addressing ambiguities in traditional formulations.

## Key findings

- Unified formulation enhances clarity of conservation laws
- Simplifies teaching and understanding of physical quantities
- Addresses inconsistencies in traditional conservation statements

## Abstract

For each substance-like quantity, a theorem about its conservation or non-conservation can be formulated. For the electric charge e.g. it reads: Electric charge can neither be created nor destroyed. Such a statement is short and easy to understand. For some quantities, however, the proposition about conservation or non-conservation is usually formulated in an unnecessarily complicated way. Sometimes the formulation is not generally valid; in other cases only a consequence of the conservation or non-conservation is pronounced. A clear and unified formulation could improve the comprehensibility and simplify teaching.

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Source: https://tomesphere.com/paper/1901.02403