Classical mechanics and infinitesimal reducibility

TL;DR

This paper demonstrates that classical mechanics can be rederived from three foundational assumptions: infinitesimal reducibility, deterministic and reversible evolution, and kinematic equivalence, offering a clearer conceptual understanding.

Contribution

It introduces a new perspective by deriving classical mechanics from three fundamental assumptions, clarifying its conceptual foundations.

Findings

Classical mechanics can be derived from three core assumptions.

Infinitesimal reducibility is key to understanding classical systems.

The approach clarifies the conceptual basis of classical mechanics.

Abstract

We briefly show how classical mechanics can be rederived and better understood as a consequence of three assumptions: infinitesimal reducibility, deterministic and reversible evolution, and kinematic equivalence.