The Logical Origin of Newton's First Law

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Authors: H.-K. Chan
Cited by: 0

Abstract

This preprint derives Newton’s First Law (the law of inertia) purely logically from one premise: “no uncaused change”. The state of a classical point particle is defined broadly to include velocity, acceleration, jerk, all higher time derivatives of position, and any hypothetical non-kinematic variables. Causal coherence (no uncaused events) forces the entire state—including velocity—to remain constant for an inertial state, logically forcing an inertial motion to be a constant-velocity one. The proof relies on no empirical data, spacetime symmetries, geometry, or variational principles — just the requirement of a causally connected universe. It applies to point particles and extends to constituents of extended bodies. Standard explanations (empirical, symmetry-based, mathematical) are contrasted with this foundational, tautological approach.

Fields of Study & Subjects

Relativity and Gravitational Theory Quantum Mechanics and Applications Noncommutative and Quantum Gravity Theories

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
27 February 2026
Document type
Preprint